-
1
-
-
38249010550
-
On the uniqueness of the positive steady state for Lotka-Volterra models with diffusion
-
Ali, S. W. and C. Cosner. 1992. On the uniqueness of the positive steady state for Lotka-Volterra models with diffusion. J. Math. Anal. Appl. 168, 329-341.
-
(1992)
J. Math. Anal. Appl.
, vol.168
, pp. 329-341
-
-
Ali, S.W.1
Cosner, C.2
-
3
-
-
0025664523
-
Spread of invading organisms
-
Andow, D. A., P. M. Kareiva, S. A. Levin and A. Okubo. 1990. Spread of invading organisms. Landscape Ecology 4, 177-188.
-
(1990)
Landscape Ecology
, vol.4
, pp. 177-188
-
-
Andow, D.A.1
Kareiva, P.M.2
Levin, S.A.3
Okubo, A.4
-
5
-
-
4944258042
-
Coupling in predator-prey dynamics: Ratio dependence
-
Arditi, R. and L. R. Ginzburg. 1989. Coupling in predator-prey dynamics: ratio dependence. J. Theor. Biol. 139, 311-326.
-
(1989)
J. Theor. Biol.
, vol.139
, pp. 311-326
-
-
Arditi, R.1
Ginzburg, L.R.2
-
6
-
-
0000542895
-
Variation in plankton densities among lakes: A case for ratio dependent models
-
Arditi, R., L. R. Ginzburg and H. R. Akcakaya. 1991. Variation in plankton densities among lakes: a case for ratio dependent models. Am. Naturalist 138, 1287-1296.
-
(1991)
Am. Naturalist
, vol.138
, pp. 1287-1296
-
-
Arditi, R.1
Ginzburg, L.R.2
Akcakaya, H.R.3
-
7
-
-
0002488752
-
Nonlinear diffusion in population genetics, combustion, and nerve propagation
-
New York: Springer
-
Aronson, D. G. and H. F. Weinberger. 1975. Nonlinear diffusion in population genetics, combustion, and nerve propagation. In Partial Differential Equations and Related Topics. Lecture Notes in Math., Vol. 446, New York: Springer.
-
(1975)
Partial Differential Equations and Related Topics. Lecture Notes in Math.
, vol.446
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
8
-
-
0015665417
-
Competition between species: Theoretical models and experimental tests
-
Ayala, F. J., M. E. Gilpin and J. G. Ehrenfeld. 1973. Competition between species: theoretical models and experimental tests. Theor. Pop. Biol. 4, 331-356.
-
(1973)
Theor. Pop. Biol.
, vol.4
, pp. 331-356
-
-
Ayala, F.J.1
Gilpin, M.E.2
Ehrenfeld, J.G.3
-
9
-
-
0021408619
-
Threshold behavior and propagation for nonlinear differential-difference systems motivated by modelling myelinated axons
-
Bell, J. and C. Cosner. 1984. Threshold behavior and propagation for nonlinear differential-difference systems motivated by modelling myelinated axons. Quart. Appl. Math. 42, 1-14.
-
(1984)
Quart. Appl. Math.
, vol.42
, pp. 1-14
-
-
Bell, J.1
Cosner, C.2
-
10
-
-
0021539010
-
Moose and snowshoe hare competition and a mechanistic explanation from foraging theory
-
Belovsky, G. E. 1984. Moose and snowshoe hare competition and a mechanistic explanation from foraging theory. Ocecologia 61, 150-159.
-
(1984)
Ocecologia
, vol.61
, pp. 150-159
-
-
Belovsky, G.E.1
-
11
-
-
0027075622
-
The origins and evolution of predator-prey theory
-
Berryman, A. A. 1992. The origins and evolution of predator-prey theory. Ecology 73, 1530-1535.
-
(1992)
Ecology
, vol.73
, pp. 1530-1535
-
-
Berryman, A.A.1
-
12
-
-
0022202046
-
Evolution of optimal group attack with particular reference to bark beetles (Coleoptera: Scolytidae)
-
Berryman, A. A., B. Dennis, K. F. Raffa, and N. C. Stenseth. 1985. Evolution of optimal group attack with particular reference to bark beetles (Coleoptera: Scolytidae). Ecology 66, 898-903.
-
(1985)
Ecology
, vol.66
, pp. 898-903
-
-
Berryman, A.A.1
Dennis, B.2
Raffa, K.F.3
Stenseth, N.C.4
-
13
-
-
0000883114
-
Diffusive logistic equations with indefinite weights: Population models in disrupted environments
-
Cantrell, R. S. and C. Cosner. 1989. Diffusive logistic equations with indefinite weights: population models in disrupted environments. Proc. Roy. Soc. Edinburgh Sect. A 112, 293-318.
-
(1989)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.112
, pp. 293-318
-
-
Cantrell, R.S.1
Cosner, C.2
-
14
-
-
0000371382
-
The effects of spatial heterogeneity in population dynamics
-
Cantrell, R. S. and C. Cosner. 1991. The effects of spatial heterogeneity in population dynamics. J. Math. Biol. 29, 315-338.
-
(1991)
J. Math. Biol.
, vol.29
, pp. 315-338
-
-
Cantrell, R.S.1
Cosner, C.2
-
17
-
-
0000213563
-
Permanence in some diffusive Lotka-Volterra models for three interacting species
-
Cantrell, R. S., C. Cosner and V. Hutson. 1993. Permanence in some diffusive Lotka-Volterra models for three interacting species. Dynamic Syst. Appl. 2, 505-530.
-
(1993)
Dynamic Syst. Appl.
, vol.2
, pp. 505-530
-
-
Cantrell, R.S.1
Cosner, C.2
Hutson, V.3
-
18
-
-
84972506380
-
Uniform persistence for population models with time delay using multiple Lyapunov functions
-
Cao, Y. and T. C. Gard. 1993. Uniform persistence for population models with time delay using multiple Lyapunov functions. Differential and Integral Equations 6, 883-898.
-
(1993)
Differential and Integral Equations
, vol.6
, pp. 883-898
-
-
Cao, Y.1
Gard, T.C.2
-
20
-
-
0002291678
-
Environmental variation and the coexistence of species
-
J. Diamond and T. J. Case (Eds). New York: Harper and Row
-
Chesson, P. L. 1986. Environmental variation and the coexistence of species. In Community Ecology, J. Diamond and T. J. Case (Eds). New York: Harper and Row.
-
(1986)
Community Ecology
-
-
Chesson, P.L.1
-
21
-
-
0027047080
-
The spatial dynamics of host-parasitoid systems
-
Comins, H. N., M. P. Hassell and R. M. May. 1992. The spatial dynamics of host-parasitoid systems. J. Animal Ecol. 61, 735-748.
-
(1992)
J. Animal Ecol.
, vol.61
, pp. 735-748
-
-
Comins, H.N.1
Hassell, M.P.2
May, R.M.3
-
22
-
-
0009267265
-
Persistence (permanence), compressivity, and practical persistence in some reaction-diffusion models from ecology
-
X. Liu and D. Siegel (Eds). New York: Marcel Dekker
-
Cosner, C. 1994. Persistence (permanence), compressivity, and practical persistence in some reaction-diffusion models from ecology. In Comparison Methods and Stability Theory, X. Liu and D. Siegel (Eds). New York: Marcel Dekker.
-
(1994)
Comparison Methods and Stability Theory
-
-
Cosner, C.1
-
23
-
-
0021618680
-
Stable coexistence states in the Volterra-Lotka competition model with diffusion
-
Cosner, C. and A. C. Lazer. 1984. Stable coexistence states in the Volterra-Lotka competition model with diffusion. SIAM J. Appl. Math. 44, 1112-1132.
-
(1984)
SIAM J. Appl. Math.
, vol.44
, pp. 1112-1132
-
-
Cosner, C.1
Lazer, A.C.2
-
24
-
-
0037615498
-
A nonlinear ergodic theorem for discrete systems
-
Crowe, K. M. 1994. A nonlinear ergodic theorem for discrete systems. J. Math. Biol. 32, 179-191.
-
(1994)
J. Math. Biol.
, vol.32
, pp. 179-191
-
-
Crowe, K.M.1
-
25
-
-
0001209373
-
A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations
-
Cushing, J. M. 1989. A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Nat. Res. Modeling 3, 331-357.
-
(1989)
Nat. Res. Modeling
, vol.3
, pp. 331-357
-
-
Cushing, J.M.1
-
26
-
-
0000100232
-
Stability and return times of Leslie matrices with density-dependent survival: Applications to fish populations
-
De Angelis, D. L., L. J. Svoboda, S. W. Christensen and D. S. Vaughan. 1980. Stability and return times of Leslie matrices with density-dependent survival: applications to fish populations. Ecol. Modelling 8, 149-163.
-
(1980)
Ecol. Modelling
, vol.8
, pp. 149-163
-
-
De Angelis, D.L.1
Svoboda, L.J.2
Christensen, S.W.3
Vaughan, D.S.4
-
27
-
-
0006079727
-
Climate and population regulation: The biogeographer's dilemma
-
Enright, J. T. 1976. Climate and population regulation: the biogeographer's dilemma. Ocecologia 24, 295-310.
-
(1976)
Ocecologia
, vol.24
, pp. 295-310
-
-
Enright, J.T.1
-
30
-
-
0343432384
-
Island chain models and gradient systems
-
Glendinning, P. 1994. Island chain models and gradient systems. J. Math. Biol. 32, 171-178.
-
(1994)
J. Math. Biol.
, vol.32
, pp. 171-178
-
-
Glendinning, P.1
-
31
-
-
0016991530
-
Nonvulnerability of ecosystems in unpredictable environments
-
Goh, B. S. 1976. Nonvulnerability of ecosystems in unpredictable environments. Theor. Pop. Biol. 10, 83-95.
-
(1976)
Theor. Pop. Biol.
, vol.10
, pp. 83-95
-
-
Goh, B.S.1
-
33
-
-
0002787307
-
Population dynamics in a homogeneous environment
-
T. G. Hallam and S. A. Levin (Eds). New York: Springer
-
Hallam, T. G. 1986. Population dynamics in a homogeneous environment. In Mathematical Ecology, T. G. Hallam and S. A. Levin (Eds). New York: Springer.
-
(1986)
Mathematical Ecology
-
-
Hallam, T.G.1
-
34
-
-
0002802598
-
Traveling wavefronts for the discrete Fisher's equation
-
Harris, G., W. Hudson and B. Zinner. 1993. Traveling wavefronts for the discrete Fisher's equation. J. Differential Equations 105, 46-62.
-
(1993)
J. Differential Equations
, vol.105
, pp. 46-62
-
-
Harris, G.1
Hudson, W.2
Zinner, B.3
-
35
-
-
0016947226
-
Discrete time models for two-species competition
-
Hassell, M. P. and H. N. Comins. 1976. Discrete time models for two-species competition. Theor. Pop. Biol. 9, 202-221.
-
(1976)
Theor. Pop. Biol.
, vol.9
, pp. 202-221
-
-
Hassell, M.P.1
Comins, H.N.2
-
36
-
-
0002449150
-
On the uniqueness of positive solutions of nonlinear elliptic boundary value problems
-
Hess, P. 1977. On the uniqueness of positive solutions of nonlinear elliptic boundary value problems. Math. Z. 154, 17-18.
-
(1977)
Math. Z.
, vol.154
, pp. 17-18
-
-
Hess, P.1
-
38
-
-
0028176208
-
Partial differential equations in ecology: Spatial interactions and population dynamics
-
Holmes, E. E., M. A. Lewis, J. E. Banks and R. R. Veit. 1994. Partial differential equations in ecology: spatial interactions and population dynamics. Ecology 75, 17-29.
-
(1994)
Ecology
, vol.75
, pp. 17-29
-
-
Holmes, E.E.1
Lewis, M.A.2
Banks, J.E.3
Veit, R.R.4
-
39
-
-
0007575018
-
Regulation of animal numbers: A model counter-example
-
Horn, H. S. 1968. Regulation of animal numbers: a model counter-example. Ecology 49, 776-778.
-
(1968)
Ecology
, vol.49
, pp. 776-778
-
-
Horn, H.S.1
-
40
-
-
0026616222
-
Permanence in dynamical systems
-
Hutson, V. and K. Schmitt. 1992. Permanence in dynamical systems. Math. Biosci. 111, 1-71.
-
(1992)
Math. Biosci.
, vol.111
, pp. 1-71
-
-
Hutson, V.1
Schmitt, K.2
-
41
-
-
0025526270
-
Population dynamics in spatially complex environments: Theory and data
-
Kareiva, P. M. 1990. Population dynamics in spatially complex environments: theory and data. Phil. Trans. Roy. Soc. London Ser. B 330, 175-190.
-
(1990)
Phil. Trans. Roy. Soc. London Ser. B
, vol.330
, pp. 175-190
-
-
Kareiva, P.M.1
-
42
-
-
84991170404
-
The experimental paradigm and long-term population studies
-
Krebs, C. J. 1991. The experimental paradigm and long-term population studies. Ibis 133, 3-8.
-
(1991)
Ibis
, vol.133
, pp. 3-8
-
-
Krebs, C.J.1
-
43
-
-
0006270059
-
Population regulation revisited
-
Krebs, C. J. 1992. Population regulation revisited. Ecology 73, 714-715.
-
(1992)
Ecology
, vol.73
, pp. 714-715
-
-
Krebs, C.J.1
-
46
-
-
0013212379
-
Age-structure and stability in multi-age spawning populations
-
T. L. Vincent and J. M. Skowronski (Eds). New York: Springer
-
Levin, S. A. 1981. Age-structure and stability in multi-age spawning populations. In Renewable Resource Management, T. L. Vincent and J. M. Skowronski (Eds). New York: Springer.
-
(1981)
Renewable Resource Management
-
-
Levin, S.A.1
-
47
-
-
0018954975
-
Analysis of an age-structured fishery model
-
Levin, S. A. and C. P. Goodyear. 1980. Analysis of an age-structured fishery model. J. Math. Biol. 9, 245-274.
-
(1980)
J. Math. Biol.
, vol.9
, pp. 245-274
-
-
Levin, S.A.1
Goodyear, C.P.2
-
48
-
-
0000073691
-
Qualitative analysis of insect outbreak systems: The spruce budworm and the forest
-
Ludwig, D., D. D. Jones and C. S. Holling. 1978. Qualitative analysis of insect outbreak systems: the spruce budworm and the forest. J. Animal Ecol 47, 315-332.
-
(1978)
J. Animal Ecol
, vol.47
, pp. 315-332
-
-
Ludwig, D.1
Jones, D.D.2
Holling, C.S.3
-
51
-
-
0016394337
-
Biological populations with non-overlapping generations: Stable points, stable cycles, and chaos
-
May, R. M. 1974. Biological populations with non-overlapping generations: stable points, stable cycles, and chaos. Science 186, 645-647.
-
(1974)
Science
, vol.186
, pp. 645-647
-
-
May, R.M.1
-
52
-
-
0016758893
-
Biological populations obeying difference equations: Stable points, stable cycles, and chaos
-
May, R. M. 1975. Biological populations obeying difference equations: stable points, stable cycles, and chaos. J. Theor. Biol. 49, 511-524.
-
(1975)
J. Theor. Biol.
, vol.49
, pp. 511-524
-
-
May, R.M.1
-
53
-
-
0028176025
-
Population regulation in theory and practice
-
Murdoch, W. W. 1994. Population regulation in theory and practice. Ecology 75, 271-287.
-
(1994)
Ecology
, vol.75
, pp. 271-287
-
-
Murdoch, W.W.1
-
55
-
-
84970556051
-
An outline of the dynamics of animal populations
-
Nicholson, A. J. 1954. An outline of the dynamics of animal populations. Aust. J. Zool. 2, 9-65.
-
(1954)
Aust. J. Zool.
, vol.2
, pp. 9-65
-
-
Nicholson, A.J.1
-
58
-
-
0002414928
-
The structure and assembly of communities
-
J. Roughgarden, R. M. May and S. A. Levin (Eds). Princeton, NJ: Princeton University Press
-
Roughgarden, J. 1989. The structure and assembly of communities. In Perspectives in Ecological Theory, J. Roughgarden, R. M. May and S. A. Levin (Eds). Princeton, NJ: Princeton University Press.
-
(1989)
Perspectives in Ecological Theory
-
-
Roughgarden, J.1
-
59
-
-
0022853792
-
Mechanistic approaches to community ecology: A new reductionism?
-
Schoener, T. W. 1986. Mechanistic approaches to community ecology: a new reductionism? Amer. Zool. 26, 81-106.
-
(1986)
Amer. Zool.
, vol.26
, pp. 81-106
-
-
Schoener, T.W.1
-
60
-
-
33746815700
-
On a nonlinear elliptic eigenvalue problem with Neumann boundary conditions, with an application to population genetics
-
Senn, S. 1983. On a nonlinear elliptic eigenvalue problem with Neumann boundary conditions, with an application to population genetics. Comm. Partial Differential Equations 8, 1199-1228.
-
(1983)
Comm. Partial Differential Equations
, vol.8
, pp. 1199-1228
-
-
Senn, S.1
-
62
-
-
0017256150
-
On the differential equations of species in competition
-
Smale, S. 1976. On the differential equations of species in competition. J. Math. Biol. 3, 5-7.
-
(1976)
J. Math. Biol.
, vol.3
, pp. 5-7
-
-
Smale, S.1
-
63
-
-
0023967009
-
Systems of ordinary differential equations that generate an order preserving flow. A survey of results
-
Smith, H. L. 1988. Systems of ordinary differential equations that generate an order preserving flow. A survey of results. SIAM Review 30, 87-113.
-
(1988)
SIAM Review
, vol.30
, pp. 87-113
-
-
Smith, H.L.1
-
66
-
-
0000344109
-
Density vagueness: Abiding the variance in the demography of real populations
-
J. Diamond and T. J. Case (Eds). New York: Harper and Row
-
Strong, D. R. 1986b. Density vagueness: abiding the variance in the demography of real populations. In Community Ecology, J. Diamond and T. J. Case (Eds). New York: Harper and Row.
-
(1986)
Community Ecology
-
-
Strong, D.R.1
-
68
-
-
0001119103
-
Notice sur la loi que la population suit dans son accroissement
-
Verhulst, P.-F. 1838. Notice sur la loi que la population suit dans son accroissement. Correspondences Math. Phys. 10, 113-121.
-
(1838)
Correspondences Math. Phys.
, vol.10
, pp. 113-121
-
-
Verhulst, P.-F.1
|