Models for Spatially Distributed Populations: The Effect of Within-Patch Variability

[1]  J. Wiens.  Population Responses to Patchy Environments , 1976 .

[2]  P J den Boer,et al.  Spreading of risk and stabilization of animal numbers. , 1968, Acta biotheoretica.

[3]  Andrew D. Barbour,et al.  Quasi–stationary distributions in Markov population processes , 1976, Advances in Applied Probability.

[4]  T. Kurtz.  Solutions of ordinary differential equations as limits of pure jump markov processes , 1970, Journal of Applied Probability.

[5]  R. May.  Ecosystem Patterns in Randomly Fluctuating Environments , 1974 .

[6]  S. Levin.  Dispersion and Population Interactions , 1974, The American Naturalist.

[7]  Wayne M. Getz,et al.  Stochastic equivalents of the linear and Lotka-Volterra systems of equations— a general birth-and-death process formulation , 1976 .

[8]  W. Gurney,et al.  Single-Species Population Fluctuations in Patchy Environments , 1978, The American Naturalist.

[9]  R. Macarthur,et al.  Competition among Fugitive Species in a Harlequin Environment , 1972 .

[10]  P. Holgate,et al.  Branching Processes with Biological Applications , 1977 .

[11]  M. Mimura,et al.  On a diffusive prey--predator model which exhibits patchiness. , 1978, Journal of theoretical biology.

[12]  W. Gurney,et al.  Predator-prey fluctuations in patchy environments , 1978 .

[13]  Jon C. Allen,et al.  Mathematical Models of Species Interactions in Time and Space , 1975, The American Naturalist.

[14]  Wayne C. Houtcooper,et al.  Distribution and Abundance , 1974 .

[15]  John Maynard Smith.  Models in ecology , 1974 .

[16]  A Hastings,et al.  Spatial heterogeneity and the stability of predator-prey systems: predator-mediated coexistence. , 1978, Theoretical population biology.

[17]  P. Billingsley,et al.  Convergence of Probability Measures , 1970, The Mathematical Gazette.

[18]  P. J. Boer,et al.  Dynamics of populations: Proceedings of the Advanced Study Institute on Dynamics of numbers in populations, Oosterbeek, the Netherlands, 7-18 September 1970 , 1971 .

[19]  G. E. Hutchinson,et al.  Copepodology for the Onithologist , 1951 .

[20]  H. G. Andrewartha,et al.  The distribution and abundance of animals. , 1954 .

[21]  A Hastings,et al.  Spatial heterogeneity and the stability of predator-prey systems. , 1977, Theoretical population biology.

[22]  M. Bulmer.  Stochastic Population Models in Ecology and Epidemiology , 1961 .

[23]  H. Bergström,et al.  Weak convergence of measures , 1982 .

[24]  J. Connell.  Diversity in tropical rain forests and coral reefs. , 1978, Science.

[25]  P H Crowley,et al.  Spatially distributed stochasticity and the constancy of ecosystems. , 1977, Bulletin of mathematical biology.

[26]  O. Kallenberg.  Canonical representations and convergence criteria for processes with interchangeable increments , 1973 .

[27]  R. May,et al.  Bifurcations and Dynamic Complexity in Simple Ecological Models , 1976, The American Naturalist.

[28]  Robert M. May,et al.  Theoretical Ecology: Principles and Applications , 1981 .

[29]  Jonathan Roughgarden,et al.  A Simple Model for Population Dynamics in Stochastic Environments , 1975, The American Naturalist.

[30]  P. J. Boer,et al.  Spreading of risk and stabilization of animal numbers , 1968 .

[31]  R. May,et al.  Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[32]  Hal Caswell,et al.  Predator-Mediated Coexistence: A Nonequilibrium Model , 1978, The American Naturalist.

[33]  Kai Lai Chung,et al.  A Course in Probability Theory , 1949 .

[34]  M. Bartlett,et al.  Stochastic Population Models in Ecology and Epidemiology. , 1961 .

[35]  Montgomery Slatkin,et al.  Competition and Regional Coexistence , 1974 .

[36]  D. Hoff,et al.  LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS* , 1978 .

[37]  R. McMurtrie.  Persistence and stability of single-species and prey-predator systems in spatially heterogeneous environments , 1978 .

[38]  F. J. S. Wang.  Limit theorems for age and density dependent stochastic population models , 1975 .

[39]  J. Vandermeer.  On the regional stabilization of locally unstable predator-prey relationships. , 1973, Journal of theoretical biology.

[40]  B P Zeigler,et al.  Persistence and patchiness of predator-prey systems induced by discrete event population exchange mechanisms. , 1977, Journal of theoretical biology.

[41]  D. Kendall.  Stochastic Processes and Population Growth , 1949 .

[42]  S. Levin.  Population Dynamic Models in Heterogeneous Environments , 1976 .

[43]  Peter Chesson,et al.  Predator-Prey Theory and Variability , 1978 .

[44]  A. Hastings.  Global stability in Lotka-Volterra systems with diffusion , 1978 .

[45]  J. D. Rougharden.  Patchiness in the Spatial Distribution of a Population Caused by Stochastic Fluctuations in Resources , 1977 .

[46]  Neils G. Becker,et al.  Interactions between species: Some comparisons between deterministic and stochastic models , 1973 .

[47]  R. Paine,et al.  Disturbance, patch formation, and community structure. , 1974, Proceedings of the National Academy of Sciences of the United States of America.