Abstract
I have constructed a spatially distributed analytical model of predators, superior prey competitors, and inferior prey competitors, based on the limiting deterministic version of a simulation model by Caswell (1978). Persistence regions for the three populations are mapped in parameter space. Conceptually shrinking the system from infinite size (i.e. infinitely many spatial "cells") to some finite size introduces demographic stochasticity, increasing the chance of extinction of one or more populations within a given time interval. But some of the finite (stochastic) system's behavior, such as any tendency to damp perturbations, can be related to the behavior of the deterministic system at the same location in parameter space.
| Original language | English |
|---|---|
| Pages (from-to) | 129-144 |
| Number of pages | 16 |
| Journal | Journal of Theoretical Biology |
| Volume | 80 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 7 1979 |
Bibliographical note
Funding Information:I thank J. E. Breck and T. L. Hayden for reading and commenting on the manuscript. I especially appreciate the help of P. Purdue, who worked out much of the derivation presented in the Appendix. This study was supported by a University of Kentucky Summer Faculty Research Fellowship.
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics