-
1
-
-
67549088195
-
Effect of stochastic perturbation on a wo species competitive model
-
Doi:10.1016/j.nahs.2009.01.001
-
S. Abbas, D. Bahuguna and M. Banerjee. Effect of stochastic perturbation on a wo species competitive model. Nonlinear Analysis: Hybrid Systems, 3(3):195-206, 2009. Doi:10.1016/j.nahs.2009.01.001.
-
(2009)
Nonlinear Analysis: Hybrid Systems
, vol.3
, Issue.3
, pp. 195-206
-
-
Abbas, S.1
Bahuguna, D.2
Banerjee, M.3
-
2
-
-
0035443952
-
Noise-enhanced stability of periodically driven etastable states
-
Doi:10.1103/Phys-evE.64.035102
-
N.V. Agudov and B. Spagnolo. Noise-enhanced stability of periodically driven etastable states. Phys. Rev. E., 64(3):035102, 2001. Doi:10.1103/Phys-evE.64.035102.
-
(2001)
Phys. Rev. E
, vol.64
, Issue.3
, pp. 035102
-
-
Agudov, N.V.1
Spagnolo, B.2
-
3
-
-
0027340050
-
Chaos reduces species extinction y amplifying local population
-
Doi:10.1038/364229a0
-
J.C. Allen, W.M. Schaffer and D. Rosko. Chaos reduces species extinction y amplifying local population. Nature, 364(6434):229-232, 1993. Doi:10.1038/364229a0.
-
(1993)
Nature
, vol.364
, Issue.6434
, pp. 229-232
-
-
Allen, J.C.1
Schaffer, W.M.2
Rosko, D.3
-
4
-
-
0032021446
-
The influence of noise in the correlation dimension of chaotic attractors
-
Doi:10.1016/S0960-0779(97)00120-3
-
J. Argyris, I. Andreadis, G. Pavlos and M. Athanasiou. The influence of noise in the correlation dimension of chaotic attractors. Chaos, Solitons and Fractals, 9(3):343-361, 1998. Doi:10.1016/S0960-0779(97)00120-3.
-
(1998)
Chaos, Solitons and Fractals
, vol.9
, Issue.3
, pp. 343-361
-
-
Argyris, J.1
Andreadis, I.2
Pavlos, G.3
Athanasiou, M.4
-
5
-
-
0023062182
-
Non-equilibrium fluctuation in Volterra-otka systems
-
Doi:10.1007/BF02459962
-
M.C. Baishya and C.G. Chakraborti. Non-equilibrium fluctuation in Volterra-otka systems. Bull. Math. Biol., 49(1):125-131, 1987. Doi:10.1007/BF02459962.
-
(1987)
Bull. Math. Biol
, vol.49
, Issue.1
, pp. 125-131
-
-
Baishya, M.C.1
Chakraborti, C.G.2
-
6
-
-
49249086887
-
Effect of environmental fluctuation on a detritus based ecosystem
-
Doi:10.1007/s12190-007-0029-9
-
M. Bandyopadhyay. Effect of environmental fluctuation on a detritus based ecosystem. J. Appl. Math. Comput., 26(1):433-450, 2008. Doi:10.1007/s12190-007-0029-9.
-
(2008)
J. Appl. Math. Comput
, vol.26
, Issue.1
, pp. 433-450
-
-
Bandyopadhyay, M.1
-
7
-
-
0142027553
-
Deterministic and stochastic analysis f a nonlinear prey-predator system
-
Doi:10.1142/S0218339003000816
-
M. Bandyopadhyay and C.G. Chakrabarti. Deterministic and stochastic analysis f a nonlinear prey-predator system. J. Biol. Syst., 11(2):161-172, 2003. Doi:10.1142/S0218339003000816.
-
(2003)
J. Biol. Syst
, vol.11
, Issue.2
, pp. 161-172
-
-
Bandyopadhyay, M.1
Chakrabarti, C.G.2
-
8
-
-
14844315022
-
Ratio-dependent predator-prey odel: Effect of environmental fluctuation and stability
-
Doi:10.1088/0951-7715/18/2/022
-
M. Bandyopadhyay and J. Chattopadhyay. Ratio-dependent predator-prey odel: effect of environmental fluctuation and stability. J. Appl. Math. Comput., 18(2):913-936, 2005. Doi:10.1088/0951-7715/18/2/022.
-
(2005)
J. Appl. Math. Comput
, vol.18
, Issue.2
, pp. 913-936
-
-
Bandyopadhyay, M.1
Chattopadhyay, J.2
-
9
-
-
0031997110
-
Stability of epidemic model with ime delays influenced by stochastic perturbations
-
Doi:10.1016/S0378-4754(97)00106-7
-
E. Beretta, V. Kolmanovskii and L. Shaikhet. Stability of epidemic model with ime delays influenced by stochastic perturbations. Math. and Comp. Simul., 45(3):269-277, 1998. Doi:10.1016/S0378-4754(97)00106-7.
-
(1998)
Math. and Comp. Simul
, vol.45
, Issue.3
, pp. 269-277
-
-
Beretta, E.1
Kolmanovskii, V.2
Shaikhet, L.3
-
10
-
-
85037255890
-
Nonequilibrium phase transition in a self-activated biological network
-
Doi:10.1103/PhysRevE.67.031907
-
H. Berry. Nonequilibrium phase transition in a self-activated biological network. Phys. Rev. E., 67(3):031907, 2003. Doi:10.1103/PhysRevE.67.031907.
-
(2003)
Phys. Rev. E
, vol.67
, Issue.3
, pp. 031907
-
-
Berry, H.1
-
11
-
-
0035958646
-
Noisy clockwork: Time series analysis f population fluctuations in animals
-
Doi:10.1126/science.1062226
-
O.N. Bjornstad and B.T. Grenfell. Noisy clockwork: time series analysis f population fluctuations in animals. Science, 293(5530):638-643, 2001. Doi:10.1126/science.1062226.
-
(2001)
Science
, vol.293
, Issue.5530
, pp. 638-643
-
-
Bjornstad, O.N.1
Grenfell, B.T.2
-
12
-
-
0036176248
-
On the stability properties of a stochastic model for phage-bacteria nteraction in open marine environment
-
Doi:10.1016/S0025-5564(01)00089-X
-
M. Carletti. On the stability properties of a stochastic model for phage-bacteria nteraction in open marine environment. Math. Biosci., 175(2):117-131, 2002. Doi:10.1016/S0025-5564(01)00089-X.
-
(2002)
Math. Biosci
, vol.175
, Issue.2
, pp. 117-131
-
-
Carletti, M.1
-
13
-
-
0029415017
-
Unexpected dominance of high frequencies in chaotic nonlinear opulation models
-
Doi:10.1038/378610a0
-
J.E. Cohen. Unexpected dominance of high frequencies in chaotic nonlinear opulation models. Nature, 378(6557):610-612, 1995. Doi:10.1038/378610a0.
-
(1995)
Nature
, vol.378
, Issue.6557
, pp. 610-612
-
-
Cohen, J.E.1
-
14
-
-
0028973866
-
Chaos in a noisy world: New methods and evidence from ime-series analysis
-
Doi:10.1086/285744
-
S. Ellner and P. Turchin. Chaos in a noisy world: new methods and evidence from ime-series analysis. Am. Natur., 145(3):343-375, 1995. Doi:10.1086/285744.
-
(1995)
Am. Natur
, vol.145
, Issue.3
, pp. 343-375
-
-
Ellner, S.1
Turchin, P.2
-
17
-
-
84855764725
-
Thresholds in a class of iterative maps
-
Doi:10.1080/002073999288139
-
H.P.W. Gottleib. Thresholds in a class of iterative maps. Int. J. Math. Edu. Sci. ech., 30(1):93-101, 1999. Doi:10.1080/002073999288139.
-
(1999)
Int. J. Math. Edu. Sci. ech
, vol.30
, Issue.1
, pp. 93-101
-
-
Gottleib, H.P.W.1
-
18
-
-
5344274815
-
Chaotic attractors in crisis
-
Doi:10.1103/PhysRevLett.48.1507
-
C. Grebogi, E. Ott and J.A. Yorke. Chaotic attractors in crisis. Phys. Rev. Lett., 48(22):1507-1510, 1982. Doi:10.1103/PhysRevLett.48.1507.
-
(1982)
Phys. Rev. Lett
, vol.48
, Issue.22
, pp. 1507-1510
-
-
Grebogi, C.1
Ott, E.2
Yorke, J.A.3
-
20
-
-
33644663808
-
Population dynamic consequences of adaptive rowth rate in fluctuating environment
-
Doi:10.1016/j.ecolmodel.2005.10.030
-
J. Laakso, V. Kaitala and E. Ranta. Population dynamic consequences of adaptive rowth rate in fluctuating environment. Ecol. Model., 194(1):132-140, 2006. Doi:10.1016/j.ecolmodel.2005.10.030.
-
(2006)
Ecol. Model
, vol.194
, Issue.1
, pp. 132-140
-
-
Laakso, J.1
Kaitala, V.2
Ranta, E.3
-
21
-
-
0027331845
-
Risks of population extinction from demographic and environmental tochasticity and random catastrophes
-
Doi:10.1086/285580
-
R. Lande. Risks of population extinction from demographic and environmental tochasticity and random catastrophes. Am. Natur., 142(6):911-927, 1993. Doi:10.1086/285580.
-
(1993)
Am. Natur
, vol.142
, Issue.6
, pp. 911-927
-
-
Lande, R.1
-
22
-
-
0000763494
-
More time means more variation
-
Doi:10.1038/334563a0
-
J.H. Lawton. More time means more variation. Nature, 334(6183):334-563, 1998. Doi:10.1038/334563a0.
-
(1998)
Nature
, vol.334
, Issue.6183
, pp. 334-563
-
-
Lawton, J.H.1
-
23
-
-
0000485953
-
Criterion of hopf bifurcations without using eigenvalues
-
Doi:10.1006/jmaa.1994.1079
-
J. Li and P. Hanggi. Criterion of hopf bifurcations without using eigenvalues. J. ath. Anal. Appl., 182(1):250-256, 1994. Doi:10.1006/jmaa.1994.1079.
-
(1994)
J. ath. Anal. Appl
, vol.182
, Issue.1
, pp. 250-256
-
-
Li, J.1
Hanggi, P.2
-
24
-
-
0037105942
-
Influence of intraspecific density dependence on a hree-species food chain with and without external stochastic disturbances
-
Doi:10.1016/S0304-3800(02)00067-4
-
Cai Lin Xu and Zi zhen Li. Influence of intraspecific density dependence on a hree-species food chain with and without external stochastic disturbances. Ecol. odel., 155(1):71-83, 2002. Doi:10.1016/S0304-3800(02)00067-4.
-
(2002)
Ecol. odel
, vol.155
, Issue.1
, pp. 71-83
-
-
Xu, C.L.1
Li, Z.Z.2
-
25
-
-
0000485953
-
Criterion of hopf bifurcations without using eigenvalues
-
Doi:10.1006/jmaa.1994.1079
-
W.M. Liu. Criterion of hopf bifurcations without using eigenvalues. J. Math. nal. Appl., 182(1):250-256, 1994. Doi:10.1006/jmaa.1994.1079.
-
(1994)
J. Math. nal. Appl
, vol.182
, Issue.1
, pp. 250-256
-
-
Liu, W.M.1
-
28
-
-
0001009245
-
Finding chaos in noisy ystems
-
D. Nychka, S. Ellner, A.R. Gallant and D. McCaffrey. Finding chaos in noisy ystems. J. Roy. Statist. Soc. B., 54(2):399-426, 1992.
-
(1992)
J. Roy. Statist. Soc. B
, vol.54
, Issue.2
, pp. 399-426
-
-
Nychka, D.1
Ellner, S.2
Gallant, A.R.3
McCaffrey, D.4
-
29
-
-
0034887040
-
Oscillatory dynamics and spatial cale: The role of noise and unresolved pattern
-
Doi:10.1890/0012-9658(2001)082[2357:ODASST]2.0.CO;2
-
M. Pascual, P. Mazzega and S.A. Levin. Oscillatory dynamics and spatial cale: the role of noise and unresolved pattern. Ecology, 82(8):2357-2369, 2001. Doi:10.1890/0012-9658(2001)082[2357:ODASST]2.0.CO;2.
-
(2001)
Ecology
, vol.82
, Issue.8
, pp. 2357-2369
-
-
Pascual, M.1
Mazzega, P.2
Levin, S.A.3
-
31
-
-
0028174695
-
Population ycling in space-limited organisms subject to density-dependent predation
-
H.P. Possingham, S. Tuljapurkar, J. Roughgarden and M. Wilks. Population ycling in space-limited organisms subject to density-dependent predation. Am. atur., 143(4):563-582, 1994.
-
(1994)
Am. atur
, vol.143
, Issue.4
, pp. 563-582
-
-
Possingham, H.P.1
Tuljapurkar, S.2
Roughgarden, J.3
Wilks, M.4
-
32
-
-
1642395722
-
Chaos in natural populations: Edge or wedge?
-
Doi:10.1016/j.ecocom.2004.02.002
-
V. Rai. Chaos in natural populations: edge or wedge? Eco. Compl., 1(2):127-138, 2004. Doi:10.1016/j.ecocom.2004.02.002.
-
(2004)
Eco. Compl
, vol.1
, Issue.2
, pp. 127-138
-
-
Rai, V.1
-
34
-
-
49049108886
-
Stability of a positive point of equilibrium of one nonlinear system ith Allee effect and stochastic perturbations
-
L. Shaikhet. Stability of a positive point of equilibrium of one nonlinear system ith Allee effect and stochastic perturbations. Dynamic System and Appl., 17:235-253, 2008.
-
(2008)
Dynamic System and Appl
, vol.17
, pp. 235-253
-
-
Shaikhet, L.1
-
35
-
-
0011136549
-
Stability of predator-prey model with aftereffect by stochastic erturbations
-
L.E. Shaikhet. Stability of predator-prey model with aftereffect by stochastic erturbations. Stability and Control: Theory and Applications, 1(1):3-13, 1998.
-
(1998)
Stability and Control: Theory and Applications
, vol.1
, Issue.1
, pp. 3-13
-
-
Shaikhet, L.E.1
-
37
-
-
0022202395
-
A comparison of terrestrial and marine ecological systems
-
Doi:10.1038/313355a0
-
J.H. Steele. A comparison of terrestrial and marine ecological systems. Nature, 313(6001):355-358, 1985. Doi:10.1038/313355a0.
-
(1985)
Nature
, vol.313
, Issue.6001
, pp. 355-358
-
-
Steele, J.H.1
-
38
-
-
0028594747
-
Coupling between physical and biological cales
-
Doi:10.1098/rstb.1994.0001
-
J.H. Steele and E.W. Henderson. Coupling between physical and biological cales. Philos. Trans. R. Soc. London. Ser. B., 343(1303):5-9, 1994. Doi:10.1098/rstb.1994.0001.
-
(1994)
Philos. Trans. R. Soc. London. Ser. B
, vol.343
, Issue.1303
, pp. 5-9
-
-
Steele, J.H.1
Henderson, E.W.2
-
39
-
-
0038488085
-
Effect of environmental fluctuation on lankton allelopathy
-
P.K. Tapaswi and A. Mukhopadhyay. Effect of environmental fluctuation on lankton allelopathy. J. Math. Biol., 39(1):39-59, 1999.
-
(1999)
J. Math. Biol
, vol.39
, Issue.1
, pp. 39-59
-
-
Tapaswi, P.K.1
Mukhopadhyay, A.2
-
41
-
-
0037408896
-
Multiple attractors and crisis route to chaos in a model foodchain
-
Doi:10.1016/S0960-0779(02)00410-1
-
R.K. Upadhyay. Multiple attractors and crisis route to chaos in a model foodchain. Chaos Solitons and Fractals, 16(5):237-247, 2003. Doi:10.1016/S0960-0779(02)00410-1.
-
(2003)
Chaos Solitons and Fractals
, vol.16
, Issue.5
, pp. 237-247
-
-
Upadhyay, R.K.1
-
42
-
-
73149090147
-
Observability of chaos and cycles in ecological systems: Lessons rom predator-prey models
-
Doi:10.1142/S0218127409024748
-
R.K. Upadhyay. Observability of chaos and cycles in ecological systems: Lessons rom predator-prey models. Inter. J. Bufur. Chaos, 19(10):3169-3234, 2009. Doi:10.1142/S0218127409024748.
-
(2009)
Inter. J. Bufur. Chaos
, vol.19
, Issue.10
, pp. 3169-3234
-
-
Upadhyay, R.K.1
-
43
-
-
0343462476
-
Crisis limited chaotic dynamics in ecological systems
-
Doi:10.1016/S0960-0779(00)00141-7
-
R.K. Upadhyay and V. Rai. Crisis limited chaotic dynamics in ecological systems. Chaos Solitons and Fractals, 12(2):205-218, 2001. Doi:10.1016/S0960-0779(00)00141-7.
-
(2001)
Chaos Solitons and Fractals
, vol.12
, Issue.2
, pp. 205-218
-
-
Upadhyay, R.K.1
Rai, V.2
-
44
-
-
0242607004
-
Stochastic resonance and oise delayed extinction in a model of two competing species
-
Doi:10.1016/j.physa.2003.09.036
-
D. Valenti, A. Flasconaro and B. Spagnolo. Stochastic resonance and oise delayed extinction in a model of two competing species. Physica: Statistical Mechanics and its Applications, 331(3):477-486, 2004. Doi:10.1016/j.physa.2003.09.036.
-
(2004)
Physica: Statistical Mechanics and its Applications
, vol.331
, Issue.3
, pp. 477-486
-
-
Valenti, D.1
Flasconaro, A.2
Spagnolo, B.3
-
45
-
-
0000257575
-
Nonequilibrium hase transitions induced by multiplicative noise
-
Doi:10.1103/PhysRevE.55.4084
-
C. Van den Broeck, J.M.R. Parrondo, R. Toral and R. Kawai. Nonequilibrium hase transitions induced by multiplicative noise. Phys. Rev. E., 55(4):4084-4094, 1997. Doi:10.1103/PhysRevE.55.4084.
-
(1997)
Phys. Rev. E
, vol.55
, Issue.4
, pp. 4084-4094
-
-
van den Broeck, C.1
Parrondo, J.M.R.2
Toral, R.3
Kawai, R.4
-
46
-
-
0037351907
-
Population dynamics and the color of environmental noise: Study on a three-species food chain system
-
Doi:10.1046/j.1440-1703.2003.00542.x
-
C. Xu and Z. Li. Population dynamics and the color of environmental noise: study on a three-species food chain system. Ecol. Research, 18:145-154, 2003. Doi:10.1046/j.1440-1703.2003.00542.x.
-
(2003)
Ecol. Research
, vol.18
, pp. 145-154
-
-
Xu, C.1
Li, Z.2
|