-
1
-
-
34047113508
-
Establishing a beachhead: a stochastic population model with an allee effect applied to species invasion
-
Ackleh, A.S., Allen, L.J., Carter, J.: Establishing a beachhead: a stochastic population model with an allee effect applied to species invasion. Theor. Popul. Biol. 71, 290–300 (2007)
-
(2007)
Theor. Popul. Biol.
, vol.71
, pp. 290-300
-
-
Ackleh, A.S.1
Allen, L.J.2
Carter, J.3
-
2
-
-
0004255825
-
-
University of Chicago Press, Chicago
-
Allee, W.C.: Animal Aggregations. University of Chicago Press, Chicago (1931)
-
(1931)
Animal Aggregations
-
-
Allee, W.C.1
-
5
-
-
84982065090
-
Studies in animal aggregations: mass protection against colloidal silver among goldfishes
-
Allee, W.C., Bowen, E.: Studies in animal aggregations: mass protection against colloidal silver among goldfishes. J. Exp. Zool. 61, 185–207 (1932)
-
(1932)
J. Exp. Zool.
, vol.61
, pp. 185-207
-
-
Allee, W.C.1
Bowen, E.2
-
6
-
-
0004275792
-
-
Saunders, Philadelphia
-
Allee, W.C., Emerson, O., Park, T., Schmidt, K.: Principles of Animal Ecology. Saunders, Philadelphia (1949)
-
(1949)
Principles of Animal Ecology
-
-
Allee, W.C.1
Emerson, O.2
Park, T.3
Schmidt, K.4
-
7
-
-
31944451381
-
A numerical model to solve single-species invasion problems with allee effects
-
Almeida, R.C., Delphim, S.A., Costa, M.I.D.S.: A numerical model to solve single-species invasion problems with allee effects. Ecol. Model. 192, 601–617 (2006)
-
(2006)
Ecol. Model.
, vol.192
, pp. 601-617
-
-
Almeida, R.C.1
Delphim, S.A.2
Costa, M.I.D.S.3
-
9
-
-
76749134243
-
Extinction of metastable stochastic populations
-
Assaf, M., Meerson, B.: Extinction of metastable stochastic populations. Phys. Rev. E 81, 021116 (2010)
-
(2010)
Phys. Rev. E
, vol.81
, pp. 021116
-
-
Assaf, M.1
Meerson, B.2
-
10
-
-
84855266299
-
Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with allee effect
-
Bashkirtseva, I., Ryashko, L.: Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with allee effect. Chaos 21, 047514 (2011)
-
(2011)
Chaos
, vol.21
, pp. 047514
-
-
Bashkirtseva, I.1
Ryashko, L.2
-
11
-
-
33847055875
-
Instabilities in spatially extended predator–prey systems: spatio-temporal patterns in the neighborhood of turing–hopf bifurcations
-
Baurmann, M., Gross, T., Feudel, U.: Instabilities in spatially extended predator–prey systems: spatio-temporal patterns in the neighborhood of turing–hopf bifurcations. J. Theor. Biol. 245, 220–229 (2007)
-
(2007)
J. Theor. Biol.
, vol.245
, pp. 220-229
-
-
Baurmann, M.1
Gross, T.2
Feudel, U.3
-
12
-
-
33947307582
-
Multiple allee effects and population management
-
Berec, L., Angulo, E., Courchamp, F.: Multiple allee effects and population management. Trends Ecol. Evol. 22, 185–191 (2007)
-
(2007)
Trends Ecol. Evol.
, vol.22
, pp. 185-191
-
-
Berec, L.1
Angulo, E.2
Courchamp, F.3
-
14
-
-
4444269038
-
Allee effects, mating systems and the extinction risk in populations with two sexes
-
Bessa-Gomes, C., Legendre, S., Clobert, J.: Allee effects, mating systems and the extinction risk in populations with two sexes. Ecol. Lett. 7, 802–812 (2004)
-
(2004)
Ecol. Lett.
, vol.7
, pp. 802-812
-
-
Bessa-Gomes, C.1
Legendre, S.2
Clobert, J.3
-
15
-
-
0001583654
-
The effects of habitat and density on breeding success in the common guillemot (uria aalge)
-
Birkhead, T.R.: The effects of habitat and density on breeding success in the common guillemot (uria aalge). J. Anim. Ecol. 46, 751–764 (1977)
-
(1977)
J. Anim. Ecol.
, vol.46
, pp. 751-764
-
-
Birkhead, T.R.1
-
16
-
-
34249935507
-
How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
-
Boukal, D.S., Sabelis, M.W., Berec, L.: How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses. Theor. Popul. Biol. 72, 136–147 (2007)
-
(2007)
Theor. Popul. Biol.
, vol.72
, pp. 136-147
-
-
Boukal, D.S.1
Sabelis, M.W.2
Berec, L.3
-
17
-
-
84954271174
-
Influences of periodic mechanical deformation on pinned spiral waves
-
Chen, J.-X., Peng, L., Zheng, Q., Zhao, Y.-H., Ying, H.-P.: Influences of periodic mechanical deformation on pinned spiral waves. Chaos 24, 033103 (2014)
-
(2014)
Chaos
, vol.24
, pp. 033103
-
-
Chen, J.-X.1
Peng, L.2
Zheng, Q.3
Zhao, Y.-H.4
Ying, H.-P.5
-
18
-
-
84905843006
-
Liberation of a pinned spiral wave by a rotating electric pulse
-
Chen, J.-X., Peng, L., Ma, J., Ying, H.-P.: Liberation of a pinned spiral wave by a rotating electric pulse. EPL 107, 38001 (2014)
-
(2014)
EPL
, vol.107
, pp. 38001
-
-
Chen, J.-X.1
Peng, L.2
Ma, J.3
Ying, H.-P.4
-
19
-
-
84959766856
-
Possible effects of schooling on the dynamics of exploited fish populations
-
Clark, C.W.: Possible effects of schooling on the dynamics of exploited fish populations. J. Cons. Int. Explor. Mer 36, 7–14 (1974)
-
(1974)
J. Cons. Int. Explor. Mer
, vol.36
, pp. 7-14
-
-
Clark, C.W.1
-
20
-
-
0000582309
-
Stochastic foundations of fractional dynamics
-
Compte, A.: Stochastic foundations of fractional dynamics. Phys. Rev. E 53, 4191–4193 (1996)
-
(1996)
Phys. Rev. E
, vol.53
, pp. 4191-4193
-
-
Compte, A.1
-
21
-
-
84920497977
-
-
Oxford University Press, Oxford
-
Courchamp, F., Berec, J., Gascoigne, J.: Allee Effects in Ecology and Conservation. Oxford University Press, Oxford (2008)
-
(2008)
Allee Effects in Ecology and Conservation
-
-
Courchamp, F.1
Berec, J.2
Gascoigne, J.3
-
22
-
-
0033214426
-
Inverse density dependence and the allee effect
-
Courchamp, F., Clutton-Brock, T., Grenfell, B.: Inverse density dependence and the allee effect. Trends Ecol. Evol. 14, 405–410 (1999)
-
(1999)
Trends Ecol. Evol.
, vol.14
, pp. 405-410
-
-
Courchamp, F.1
Clutton-Brock, T.2
Grenfell, B.3
-
23
-
-
0034503479
-
Impact of natural enemies on obligately cooperative breeders
-
Courchamp, F., Grenfell, B.T., Clutton-Brock, T.H.: Impact of natural enemies on obligately cooperative breeders. Oikos 91, 311–322 (2000)
-
(2000)
Oikos
, vol.91
, pp. 311-322
-
-
Courchamp, F.1
Grenfell, B.T.2
Clutton-Brock, T.H.3
-
24
-
-
84868305139
-
Evolutionary dynamics and strong allee effects
-
Cushing, J., Hudson, J.T.: Evolutionary dynamics and strong allee effects. J. Biol. Dyn. 6, 941–958 (2012)
-
(2012)
J. Biol. Dyn.
, vol.6
, pp. 941-958
-
-
Cushing, J.1
Hudson, J.T.2
-
25
-
-
0000604313
-
Allee-effects: population growth, critical density, and the chance of extinction
-
Dennis, B.: Allee-effects: population growth, critical density, and the chance of extinction. Nat. Res. Model. 3, 481–538 (1989)
-
(1989)
Nat. Res. Model.
, vol.3
, pp. 481-538
-
-
Dennis, B.1
-
26
-
-
0036222510
-
Allee effects in stochastic populations
-
Dennis, B.: Allee effects in stochastic populations. Oikos 96, 389–401 (2002)
-
(2002)
Oikos
, vol.96
, pp. 389-401
-
-
Dennis, B.1
-
27
-
-
0038693574
-
Extinction thresholds in host-parasite dynamics
-
Deredec, A., Courchmp, F.: Extinction thresholds in host-parasite dynamics. Ann. Zool. Fenn. 40, 115–130 (2003)
-
(2003)
Ann. Zool. Fenn.
, vol.40
, pp. 115-130
-
-
Deredec, A.1
Courchmp, F.2
-
28
-
-
79960499790
-
Population models with allee effect: a new model
-
Elaydi, S.N., Sacker, R.J.: Population models with allee effect: a new model. J. Biol. Dyn. 4, 397–408 (2010)
-
(2010)
J. Biol. Dyn.
, vol.4
, pp. 397-408
-
-
Elaydi, S.N.1
Sacker, R.J.2
-
29
-
-
84858862001
-
Remarks on cannibalism and pattern formation in spatially extended prey–predator systems
-
Fasani, S., Rinaldi, S.: Remarks on cannibalism and pattern formation in spatially extended prey–predator systems. Nonlinear Dyn. 62, 2543–2548 (2012)
-
(2012)
Nonlinear Dyn.
, vol.62
, pp. 2543-2548
-
-
Fasani, S.1
Rinaldi, S.2
-
30
-
-
0036350561
-
Behavioral stochastic resonance: how the noise from a daphnia swarm enhances individual prey capture by juvenile paddlefish
-
Freund, J., Schimansky-Geier, L., Beisner, B., Neiman, A., Russell, D., Yakusheva, T., Moss, F.: Behavioral stochastic resonance: how the noise from a daphnia swarm enhances individual prey capture by juvenile paddlefish. J. Theor. Biol. 214, 71–83 (2002)
-
(2002)
J. Theor. Biol.
, vol.214
, pp. 71-83
-
-
Freund, J.1
Schimansky-Geier, L.2
Beisner, B.3
Neiman, A.4
Russell, D.5
Yakusheva, T.6
Moss, F.7
-
31
-
-
5344241281
-
Allee effects driven by predation
-
Gascoigne, J.C., Lipcius, R.N.: Allee effects driven by predation. J. Appl. Ecol. 41, 801–810 (2004)
-
(2004)
J. Appl. Ecol.
, vol.41
, pp. 801-810
-
-
Gascoigne, J.C.1
Lipcius, R.N.2
-
32
-
-
44049116564
-
Fractional diffusion equation for transport phenomena in random media
-
Giona, M., Roman, H.: Fractional diffusion equation for transport phenomena in random media. Phys. A 185, 87–97 (1992)
-
(1992)
Phys. A
, vol.185
, pp. 87-97
-
-
Giona, M.1
Roman, H.2
-
33
-
-
15844390604
-
A stage structured predator–prey model and its dependence on through-stage delay and death rate
-
Gourley, S., Kuang, Y.: A stage structured predator–prey model and its dependence on through-stage delay and death rate. J. Math. Biol. 49, 188–200 (2004)
-
(2004)
J. Math. Biol.
, vol.49
, pp. 188-200
-
-
Gourley, S.1
Kuang, Y.2
-
34
-
-
0031748982
-
Allee effects limit population viability of an annual plant
-
Groom, M.: Allee effects limit population viability of an annual plant. Am. Nat. 151, 487–496 (1998)
-
(1998)
Am. Nat.
, vol.151
, pp. 487-496
-
-
Groom, M.1
-
35
-
-
0034850846
-
Necessary and sufficient conditions for evolutionary suicide
-
Gyllenberg, M., Parvinen, K.: Necessary and sufficient conditions for evolutionary suicide. Bull. Math. Biol. 63, 981–993 (2001)
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 981-993
-
-
Gyllenberg, M.1
Parvinen, K.2
-
36
-
-
0036306866
-
Existence of turing instabilities in a two-species fractional reaction–diffusion system
-
Henry, B., Wearne, S.: Existence of turing instabilities in a two-species fractional reaction–diffusion system. SIAM J. Appl. Math. 62, 870–887 (2002)
-
(2002)
SIAM J. Appl. Math.
, vol.62
, pp. 870-887
-
-
Henry, B.1
Wearne, S.2
-
37
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
Higham, D.J.: An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 43, 525–546 (2001)
-
(2001)
SIAM Rev.
, vol.43
, pp. 525-546
-
-
Higham, D.J.1
-
38
-
-
58749105328
-
The allee effect and infectious diseases: extinction, multistability, and the (dis-) appearance of oscillations
-
Hilker, F., Langlais, M., Malchow, H.: The allee effect and infectious diseases: extinction, multistability, and the (dis-) appearance of oscillations. Am. Nat. 173, 72–88 (2009)
-
(2009)
Am. Nat.
, vol.173
, pp. 72-88
-
-
Hilker, F.1
Langlais, M.2
Malchow, H.3
-
39
-
-
33847279684
-
A diffusive SI model with Allee effect and application to FIV
-
Hilker, F.M., Langlais, M., Petrovskii, S.V., Malchow, H.: A diffusive SI model with Allee effect and application to FIV. Math. Biosci. 206, 61–80 (2007)
-
(2007)
Math. Biosci.
, vol.206
, pp. 61-80
-
-
Hilker, F.M.1
Langlais, M.2
Petrovskii, S.V.3
Malchow, H.4
-
40
-
-
23944492384
-
Pathogens can slow down or reverse invasion fronts of their hosts
-
Hilker, F.M., Lewis, M.A., Seno, H., Langlais, M., Malchow, H.: Pathogens can slow down or reverse invasion fronts of their hosts. Biol. Invasions 7, 817–832 (2005)
-
(2005)
Biol. Invasions
, vol.7
, pp. 817-832
-
-
Hilker, F.M.1
Lewis, M.A.2
Seno, H.3
Langlais, M.4
Malchow, H.5
-
41
-
-
78651240331
-
Dynamics of an age-structured population with allee effects and harvesting
-
Jang, S.R.J.: Dynamics of an age-structured population with allee effects and harvesting. J. Biol. Dyn. 4, 409–427 (2010)
-
(2010)
J. Biol. Dyn.
, vol.4
, pp. 409-427
-
-
Jang, S.R.J.1
-
42
-
-
79956117638
-
Expansion or extinction: deterministic and stochastic two-patch models with Allee effects
-
Kang, Y., Lanchier, N.: Expansion or extinction: deterministic and stochastic two-patch models with Allee effects. J. Math. Biol. 62, 925–973 (2011)
-
(2011)
J. Math. Biol.
, vol.62
, pp. 925-973
-
-
Kang, Y.1
Lanchier, N.2
-
43
-
-
0037446297
-
Consequences for predators of rescue and allee effects on prey
-
Kent, A., Doncaster, C.P., Sluckin, T.: Consequences for predators of rescue and allee effects on prey. Ecol. Model. 162, 233–245 (2003)
-
(2003)
Ecol. Model.
, vol.162
, pp. 233-245
-
-
Kent, A.1
Doncaster, C.P.2
Sluckin, T.3
-
44
-
-
67349162618
-
The evidence for allee effects
-
Kramer, A., Dennis, B., Liebhold, A., Drake, J.: The evidence for allee effects. Popul. Ecol. 51, 341–354 (2009)
-
(2009)
Popul. Ecol.
, vol.51
, pp. 341-354
-
-
Kramer, A.1
Dennis, B.2
Liebhold, A.3
Drake, J.4
-
45
-
-
0031741955
-
Demographic stochasticity and Allee effect on a scale with isotropic noise
-
Lande, R.: Demographic stochasticity and Allee effect on a scale with isotropic noise. Oikos 83, 353–358 (1998)
-
(1998)
Oikos
, vol.83
, pp. 353-358
-
-
Lande, R.1
-
46
-
-
79951864384
-
Demographic stochasticity, Allee effects, and extinction: the influence of mating system and sex ratio
-
Lee, A.M., Sather, B.E., Engen, S.: Demographic stochasticity, Allee effects, and extinction: the influence of mating system and sex ratio. Am. Nat. 177, 301–313 (2011)
-
(2011)
Am. Nat.
, vol.177
, pp. 301-313
-
-
Lee, A.M.1
Sather, B.E.2
Engen, S.3
-
47
-
-
0023115931
-
Mineral homeostasis in neonates of streptozotocin-induced noninsulin-dependent diabetic rats and in their mothers during pregnancy and lactation
-
Levy, J., Scott, M., Avioli, L.: Mineral homeostasis in neonates of streptozotocin-induced noninsulin-dependent diabetic rats and in their mothers during pregnancy and lactation. Bone 8, 1–6 (1987)
-
(1987)
Bone
, vol.8
, pp. 1-6
-
-
Levy, J.1
Scott, M.2
Avioli, L.3
-
48
-
-
0027524391
-
Allee dynamics and the spread of invading organisms
-
Lewis, M., Kareiva, P.: Allee dynamics and the spread of invading organisms. Theor. Popul. Biol. 43, 141–158 (1993)
-
(1993)
Theor. Popul. Biol.
, vol.43
, pp. 141-158
-
-
Lewis, M.1
Kareiva, P.2
-
49
-
-
0034327966
-
Modeling and analysis of stochastic invasion processes
-
Lewis, M., Pacala, S.: Modeling and analysis of stochastic invasion processes. J. Math. Biol. 41, 387–429 (2000)
-
(2000)
J. Math. Biol.
, vol.41
, pp. 387-429
-
-
Lewis, M.1
Pacala, S.2
-
50
-
-
82255166728
-
Impact of noise on pattern formation in a predator–prey model
-
Li, A.-W.: Impact of noise on pattern formation in a predator–prey model. Nonlinear Dyn. 66, 689–694 (2011)
-
(2011)
Nonlinear Dyn.
, vol.66
, pp. 689-694
-
-
Li, A.-W.1
-
51
-
-
84855805384
-
Pattern dynamics of a spatial predator–prey model with noise
-
Li, L., Jin, Z.: Pattern dynamics of a spatial predator–prey model with noise. Nonlinear Dyn. 67, 1737–1744 (2012)
-
(2012)
Nonlinear Dyn.
, vol.67
, pp. 1737-1744
-
-
Li, L.1
Jin, Z.2
-
52
-
-
84861737668
-
Spatiotemporal dynamics of a predator–prey model
-
Liu, P.-P., Xue, Y.: Spatiotemporal dynamics of a predator–prey model. Nonlinear Dyn. 69, 71–77 (2012)
-
(2012)
Nonlinear Dyn.
, vol.69
, pp. 71-77
-
-
Liu, P.-P.1
Xue, Y.2
-
53
-
-
84892634738
-
Force exerted on the spiral tip by the heterogeneity in an excitable medium
-
Liu, T.-B., Ma, J., Zhao, Q., Tang, J.: Force exerted on the spiral tip by the heterogeneity in an excitable medium. EPL 104, 58005 (2013)
-
(2013)
EPL
, vol.104
, pp. 58005
-
-
Liu, T.-B.1
Ma, J.2
Zhao, Q.3
Tang, J.4
-
54
-
-
84863261879
-
Control of turbulence in heterogeneous excitable media
-
Lou, Q., Chen, J.-X., Zhao, Y.-H., Shen, F.-R., Fu, Y., Wang, L.-L., Liu, Y.: Control of turbulence in heterogeneous excitable media. Phys. Rev. E 85, 026213 (2012)
-
(2012)
Phys. Rev. E
, vol.85
, pp. 026213
-
-
Lou, Q.1
Chen, J.-X.2
Zhao, Y.-H.3
Shen, F.-R.4
Fu, Y.5
Wang, L.-L.6
Liu, Y.7
-
55
-
-
84873566738
-
Emergence of spiral wave induced by defects block
-
Ma, J., Liu, Q., Ying, H., Wu, Y.: Emergence of spiral wave induced by defects block. Commun. Nonlinear Sci. Numer. Simul. 18, 1665–1675 (2013)
-
(2013)
Commun. Nonlinear Sci. Numer. Simul.
, vol.18
, pp. 1665-1675
-
-
Ma, J.1
Liu, Q.2
Ying, H.3
Wu, Y.4
-
56
-
-
84902545269
-
Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice
-
Ma, J., Wu, X., Chu, R., Zhang, L.: Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice. Nonlinear Dyn. 76, 1951–1962 (2014)
-
(2014)
Nonlinear Dyn.
, vol.76
, pp. 1951-1962
-
-
Ma, J.1
Wu, X.2
Chu, R.3
Zhang, L.4
-
57
-
-
78650016107
-
Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin–Huxley neurons
-
Ma, J., Wang, C.N., Jin, W.Y., Wu, Y.: Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin–Huxley neurons. Appl. Math. Comput. 217, 3844–3852 (2010)
-
(2010)
Appl. Math. Comput.
, vol.217
, pp. 3844-3852
-
-
Ma, J.1
Wang, C.N.2
Jin, W.Y.3
Wu, Y.4
-
59
-
-
0028159712
-
Timid consumers: self-extinction due to adaptive change in foraging and anti-predator effort
-
Matsuda, H., Abrams, P.: Timid consumers: self-extinction due to adaptive change in foraging and anti-predator effort. Theor. Popul. Biol. 45, 76–91 (1994)
-
(1994)
Theor. Popul. Biol.
, vol.45
, pp. 76-91
-
-
Matsuda, H.1
Abrams, P.2
-
60
-
-
0036733930
-
Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems
-
Medvinsky, A., Petrovskii, S., Tikhonova, I., Malchow, H., Li, B.-L.: Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems. SIAM Rev. 44, 311–370 (2002)
-
(2002)
SIAM Rev.
, vol.44
, pp. 311-370
-
-
Medvinsky, A.1
Petrovskii, S.2
Tikhonova, I.3
Malchow, H.4
Li, B.-L.5
-
61
-
-
79957655081
-
Extinction conditions for isolated populations with Allee effect
-
Mendez, V., Sans, C., Llopis, I., Campos, D.: Extinction conditions for isolated populations with Allee effect. Math. Biosci. 232, 78–86 (2011)
-
(2011)
Math. Biosci.
, vol.232
, pp. 78-86
-
-
Mendez, V.1
Sans, C.2
Llopis, I.3
Campos, D.4
-
62
-
-
43949160695
-
Fractional model equation for anomalous diffusion
-
Metzler, R., Glockle, W., Nonnenmacher, T.: Fractional model equation for anomalous diffusion. Phys. A 211, 13–24 (1994)
-
(1994)
Phys. A
, vol.211
, pp. 13-24
-
-
Metzler, R.1
Glockle, W.2
Nonnenmacher, T.3
-
63
-
-
84856504736
-
Spatiotemporal complexity of biological invasion in a space- and time-discrete predator–prey system with the strong allee effect
-
Mistro, D.C., Rodrigues, L.A.D., Petrovskii, S.: Spatiotemporal complexity of biological invasion in a space- and time-discrete predator–prey system with the strong allee effect. Ecol. Complex. 9, 16–32 (2012)
-
(2012)
Ecol. Complex.
, vol.9
, pp. 16-32
-
-
Mistro, D.C.1
Rodrigues, L.A.D.2
Petrovskii, S.3
-
64
-
-
0035135346
-
Allee effect, sexual selection and demographic stochasticity
-
Moller, A.P., Legendre, S.: Allee effect, sexual selection and demographic stochasticity. Oikos 92, 27–34 (2001)
-
(2001)
Oikos
, vol.92
, pp. 27-34
-
-
Moller, A.P.1
Legendre, S.2
-
65
-
-
34047094522
-
On the importance of dimensionality of space in models of space-mediated population persistence
-
Morozov, A., Li, B.: On the importance of dimensionality of space in models of space-mediated population persistence. Theor. Popul. Biol. 71, 278–289 (2007)
-
(2007)
Theor. Popul. Biol.
, vol.71
, pp. 278-289
-
-
Morozov, A.1
Li, B.2
-
66
-
-
3042846003
-
Bifurcations and chaos in a predator–prey system with the Allee effect
-
Morozov, A., Petrovskii, S., Li, B.: Bifurcations and chaos in a predator–prey system with the Allee effect. Proc. R. Soc. Lond. B 271, 1407–1414 (2004)
-
(2004)
Proc. R. Soc. Lond. B
, vol.271
, pp. 1407-1414
-
-
Morozov, A.1
Petrovskii, S.2
Li, B.3
-
67
-
-
28444465570
-
Spatiotemporal complexity of patchy invasion in a predator–prey system with the Allee effect
-
Morozov, A., Petrovskii, S., Li, B.: Spatiotemporal complexity of patchy invasion in a predator–prey system with the Allee effect. J. Theor. Biol. 238, 18–35 (2006)
-
(2006)
J. Theor. Biol.
, vol.238
, pp. 18-35
-
-
Morozov, A.1
Petrovskii, S.2
Li, B.3
-
69
-
-
77957911001
-
Stochastic models of population extinction
-
Ovaskainen, O., Meerson, B.: Stochastic models of population extinction. Trends Ecol. Evol. 11, 643–652 (2010)
-
(2010)
Trends Ecol. Evol.
, vol.11
, pp. 643-652
-
-
Ovaskainen, O.1
Meerson, B.2
-
70
-
-
0142053105
-
An exactly solvable model of population dynamics with density-dependent migrations and the allee effect
-
Petrovskii, S., Li, B.-L.: An exactly solvable model of population dynamics with density-dependent migrations and the allee effect. Math. Biosci. 186, 79–91 (2003)
-
(2003)
Math. Biosci.
, vol.186
, pp. 79-91
-
-
Petrovskii, S.1
Li, B.-L.2
-
71
-
-
23944469183
-
An exact solution of a diffusive predator–prey system
-
Petrovskii, S., Malchow, H., Li, B.-L.: An exact solution of a diffusive predator–prey system. Proc. R. Soc. A 461, 1029–1053 (2005a)
-
(2005)
Proc. R. Soc. A
, vol.461
, pp. 1029-1053
-
-
Petrovskii, S.1
Malchow, H.2
Li, B.-L.3
-
72
-
-
16344366772
-
Regimes of biological invasion in a predator–prey system with the Allee effect
-
Petrovskii, S., Morozov, A., Li, B.: Regimes of biological invasion in a predator–prey system with the Allee effect. Bull. Math. Biol. 67, 637–661 (2005b)
-
(2005)
Bull. Math. Biol.
, vol.67
, pp. 637-661
-
-
Petrovskii, S.1
Morozov, A.2
Li, B.3
-
73
-
-
0036113356
-
Allee effect makes possible patchy invasion in a predator–prey system
-
Petrovskii, S., Morozov, A., Venturino, E.: Allee effect makes possible patchy invasion in a predator–prey system. Ecol. Lett. 5, 345–352 (2002)
-
(2002)
Ecol. Lett.
, vol.5
, pp. 345-352
-
-
Petrovskii, S.1
Morozov, A.2
Venturino, E.3
-
74
-
-
79955117342
-
Fractional central pattern generators for bipedal locomotion
-
Pinto, C.M.A., Machado, J.T.A.: Fractional central pattern generators for bipedal locomotion. Nonlinear Dyn. 62, 27–37 (2010)
-
(2010)
Nonlinear Dyn.
, vol.62
, pp. 27-37
-
-
Pinto, C.M.A.1
Machado, J.T.A.2
-
75
-
-
0000419742
-
The kinetics of functional response
-
Real, L.: The kinetics of functional response. Am. Nat. 111, 289–300 (1977)
-
(1977)
Am. Nat.
, vol.111
, pp. 289-300
-
-
Real, L.1
-
76
-
-
53149149076
-
Dose-dependent infection rates of parasites produce the Allee effect in epidemiology
-
Regoes, R.R., Ebert, D., Bonhoeffer, S.: Dose-dependent infection rates of parasites produce the Allee effect in epidemiology. Proc. R. Soc. Lond. B 269, 271–279 (2002)
-
(2002)
Proc. R. Soc. Lond. B
, vol.269
, pp. 271-279
-
-
Regoes, R.R.1
Ebert, D.2
Bonhoeffer, S.3
-
77
-
-
34548305141
-
Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games
-
Reichenbach, T., Mobilia, M., Frey, E.: Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games. Nature 448, 1046–1049 (2007a)
-
(2007)
Nature
, vol.448
, pp. 1046-1049
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
78
-
-
36849066945
-
Noise and correlations in a spatial population model with cyclic competition
-
Reichenbach, T., Mobilia, M., Frey, E.: Noise and correlations in a spatial population model with cyclic competition. Phys. Rev. Lett. 99, 238105 (2007b)
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 238105
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
79
-
-
33646715121
-
Persistence in reaction diffusion models with weak Allee effect
-
Shi, J., Shivaji, R.: Persistence in reaction diffusion models with weak Allee effect. J. Math. Biol. 52, 807–829 (2006)
-
(2006)
J. Math. Biol.
, vol.52
, pp. 807-829
-
-
Shi, J.1
Shivaji, R.2
-
80
-
-
0033215101
-
Consequences of the Allee effect for behaviour, ecology and conservation
-
Stephens, P., Sutherland, W.: Consequences of the Allee effect for behaviour, ecology and conservation. Trends Ecol. Evol. 14, 401–405 (1999)
-
(1999)
Trends Ecol. Evol.
, vol.14
, pp. 401-405
-
-
Stephens, P.1
Sutherland, W.2
-
81
-
-
64749087718
-
The role of noise in a predator–prey model with Allee effect
-
Sun, G.-Q., Jin, Z., Li, L., Liu, Q.-X.: The role of noise in a predator–prey model with Allee effect. J. Biol. Phys. 35, 185–196 (2009)
-
(2009)
J. Biol. Phys.
, vol.35
, pp. 185-196
-
-
Sun, G.-Q.1
Jin, Z.2
Li, L.3
Liu, Q.-X.4
-
82
-
-
77249116130
-
Rich dynamics in a predator–prey model with both noise and periodic force
-
Sun, G.-Q., Jin, Z., Liu, Q.-X., Li, B.-L.: Rich dynamics in a predator–prey model with both noise and periodic force. BioSystems 100, 14–22 (2010)
-
(2010)
BioSystems
, vol.100
, pp. 14-22
-
-
Sun, G.-Q.1
Jin, Z.2
Liu, Q.-X.3
Li, B.-L.4
-
83
-
-
77953360298
-
Self-organized wave pattern in a predator–prey model
-
Sun, G.-Q., Jin, Z., Li, L., Li, B.-L.: Self-organized wave pattern in a predator–prey model. Nonlinear Dyn. 60, 265–275 (2010)
-
(2010)
Nonlinear Dyn.
, vol.60
, pp. 265-275
-
-
Sun, G.-Q.1
Jin, Z.2
Li, L.3
Li, B.-L.4
-
84
-
-
84940836005
-
Influence of isolation degree of spatial patterns on persistence of populations
-
Sun, G.-Q., Wu, Z.-Y., Wang, Z., Jin, Z.: Influence of isolation degree of spatial patterns on persistence of populations. Nonlinear Dyn. 83, 811–819 (2016)
-
(2016)
Nonlinear Dyn.
, vol.83
, pp. 811-819
-
-
Sun, G.-Q.1
Wu, Z.-Y.2
Wang, Z.3
Jin, Z.4
-
85
-
-
70349218900
-
Predator cannibalism can give rise to regular spatial pattern in a predator–prey system
-
Sun, G.-Q., Zhang, G., Jin, Z.: Predator cannibalism can give rise to regular spatial pattern in a predator–prey system. Nonlinear Dyn. 58, 75–84 (2009)
-
(2009)
Nonlinear Dyn
, vol.58
, pp. 75-84
-
-
Sun, G.-Q.1
Zhang, G.2
Jin, Z.3
-
86
-
-
67349154370
-
Early warning signals of demographic regime shifts in invading populations
-
Takimoto, G.: Early warning signals of demographic regime shifts in invading populations. Popul. Ecol. 51, 419–426 (2009)
-
(2009)
Popul. Ecol.
, vol.51
, pp. 419-426
-
-
Takimoto, G.1
-
87
-
-
77349093588
-
Modulation of predator–prey interactions by the Allee effect
-
Verdy, A.: Modulation of predator–prey interactions by the Allee effect. Ecol. Model. 221, 1098–1107 (2010)
-
(2010)
Ecol. Model.
, vol.221
, pp. 1098-1107
-
-
Verdy, A.1
-
88
-
-
84859411706
-
Invasions in heterogeneous habitats in the presence of advection
-
Vergni, D., Iannaccone, S., Berti, S., Cencini, M.: Invasions in heterogeneous habitats in the presence of advection. J. Theor. Biol. 301, 141–152 (2012)
-
(2012)
J. Theor. Biol.
, vol.301
, pp. 141-152
-
-
Vergni, D.1
Iannaccone, S.2
Berti, S.3
Cencini, M.4
-
89
-
-
78049480287
-
Analysis of a spatial predator–prey model with delay
-
Wang, B., Wang, A.-L., Liu, Y.-J., Liu, Z.-H.: Analysis of a spatial predator–prey model with delay. Nonlinear Dyn. 62, 601–608 (2010)
-
(2010)
Nonlinear Dyn.
, vol.62
, pp. 601-608
-
-
Wang, B.1
Wang, A.-L.2
Liu, Y.-J.3
Liu, Z.-H.4
-
90
-
-
0033552648
-
The competitive dynamics of populations subject to an Allee effect
-
Wang, G., Liang, X.-G., Wang, F.-Z.: The competitive dynamics of populations subject to an Allee effect. Ecol. Model. 124, 183–192 (1999)
-
(1999)
Ecol. Model.
, vol.124
, pp. 183-192
-
-
Wang, G.1
Liang, X.-G.2
Wang, F.-Z.3
-
91
-
-
79951508642
-
Predator–prey system with strong allee effect in prey
-
Wang, J., Shi, J., Wei, J.: Predator–prey system with strong allee effect in prey. J. Math. Biol. 62, 291–331 (2011a)
-
(2011)
J. Math. Biol.
, vol.62
, pp. 291-331
-
-
Wang, J.1
Shi, J.2
Wei, J.3
-
92
-
-
0035012881
-
Speeds of invasion in a model with strong or weak Allee effects
-
Wang, M.-H., Kot, M.: Speeds of invasion in a model with strong or weak Allee effects. Math. Biosci. 171, 83–97 (2001)
-
(2001)
Math. Biosci.
, vol.171
, pp. 83-97
-
-
Wang, M.-H.1
Kot, M.2
-
93
-
-
0036483294
-
Integrodifference equations, Allee effects, and invasions
-
Wang, M.-H., Kot, M., Neubert, M.G.: Integrodifference equations, Allee effects, and invasions. J. Math. Biol. 44, 150–168 (2002)
-
(2002)
J. Math. Biol.
, vol.44
, pp. 150-168
-
-
Wang, M.-H.1
Kot, M.2
Neubert, M.G.3
-
94
-
-
79957800811
-
Invasion dynamics of epidemic with the Allee effect
-
Wang, W., Liu, H., Li, Z., Guo, Z., Yang, Y.: Invasion dynamics of epidemic with the Allee effect. BioSystems 105, 25–33 (2011b)
-
(2011)
BioSystems
, vol.105
, pp. 25-33
-
-
Wang, W.1
Liu, H.2
Li, Z.3
Guo, Z.4
Yang, Y.5
-
95
-
-
79451472838
-
Analysis of a discrete-time predator–prey system with Allee effect
-
Wang, W.-X., Zhang, Y.-B., Liu, C.: Analysis of a discrete-time predator–prey system with Allee effect. Ecol. Complex. 8, 81–85 (2011c)
-
(2011)
Ecol. Complex.
, vol.8
, pp. 81-85
-
-
Wang, W.-X.1
Zhang, Y.-B.2
Liu, C.3
-
96
-
-
0036887936
-
Chaos, fractional kinetics, and anomalous transport
-
Zaslavsky, G.: Chaos, fractional kinetics, and anomalous transport. Phys. Rep. 371, 461–580 (2002)
-
(2002)
Phys. Rep.
, vol.371
, pp. 461-580
-
-
Zaslavsky, G.1
-
97
-
-
84863229302
-
Spatial dynamics in a predator–prey model with Beddington–DeAngelis functional response
-
Zhang, X.-Q., Sun, G.-Q., Jin, Z.: Spatial dynamics in a predator–prey model with Beddington–DeAngelis functional response. Phys. Rev. E 85, 021924 (2012)
-
(2012)
Phys. Rev. E
, vol.85
, pp. 021924
-
-
Zhang, X.-Q.1
Sun, G.-Q.2
Jin, Z.3
-
98
-
-
11844279070
-
The stability of predator–prey systems subject to the Allee effects
-
Zhou, S.-R., Liu, Y.-F., Wang, G.: The stability of predator–prey systems subject to the Allee effects. Theor. Popul. Biol. 67, 23–31 (2005)
-
(2005)
Theor. Popul. Biol.
, vol.67
, pp. 23-31
-
-
Zhou, S.-R.1
Liu, Y.-F.2
Wang, G.3
-
99
-
-
1642307509
-
Allee-like effects in metapopulation dynamics
-
Zhou, S.-R., Wang, G.: Allee-like effects in metapopulation dynamics. Math. Biosci. 189, 103–113 (2004)
-
(2004)
Math. Biosci.
, vol.189
, pp. 103-113
-
-
Zhou, S.-R.1
Wang, G.2
-
100
-
-
70450242711
-
The evolution of phenotypic traits in a predator–prey system subject to Allee effect
-
Zu, J., Mimura, M., Wakano, J.-Y.: The evolution of phenotypic traits in a predator–prey system subject to Allee effect. J. Theor. Biol. 262, 528–543 (2010)
-
(2010)
J. Theor. Biol.
, vol.262
, pp. 528-543
-
-
Zu, J.1
Mimura, M.2
Wakano, J.-Y.3
|