THE EFFECT OF A PREDATOR RESOURCE ON A DIFFUSIVE PREDATOR PREY SYSTEM
- 23 June 1989
- journal article
- Published by Wiley in Natural Resource Modeling
- Vol. 3 (3) , 359-383
- https://doi.org/10.1111/j.1939-7445.1989.tb00086.x
Abstract
A model of a predator‐prey system with diffusion and predator resource is studied. Both constant and variable resources are considered. In the absence of diffusion, criteria for local stability, instability, and global stability of equilibria, as well as persistence and extinction, are obtained. It is shown that an otherwise unstable uniform equilibrium state may be stabilized by diffusion.Keywords
Funding Information
- Natural Sciences and Engineering Research Council of Canada (NSER A4823)
This publication has 26 references indexed in Scilit:
- Persistence, extinction, and critical patch number for island populationsJournal of Mathematical Biology, 1987
- Uniform Persistence and Global Stability in Models Involving Mutualism 1. Predator-Prey-Mutualistic SystemsPublished by Elsevier ,1987
- Uniformly persistent systemsProceedings of the American Mathematical Society, 1986
- Antipredator tactics of calving caribou: dispersion in mountainsCanadian Journal of Zoology, 1984
- Prey Switching in a Simple EcosystemScientific American, 1983
- Persistence and extinction in Lotka-Volterra reaction-diffusion equationsMathematical Biosciences, 1983
- Persistence and extinction in single-species reaction-diffusion modelsBulletin of Mathematical Biology, 1983
- An application of the invariance principle to reaction-diffusion equationsJournal of Differential Equations, 1979
- Stability analysis of a predator-prey system with mutual interference and density-dependent death ratesBulletin of Mathematical Biology, 1979
- Graphical stability, enrichment, and pest control by a natural enemyMathematical Biosciences, 1976