Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838269 | Nonlinear Analysis: Real World Applications | 2011 | 13 Pages |
Abstract
The main goal of this paper is to describe the global dynamic of a predator–prey model with nonconstant death rate and diffusion. We obtain necessary and sufficient conditions under which the system is dissipative and permanent. We study the global stability of the nontrivial equilibrium, when it is unique. Finally, we show that there are no nontrivial steady state solutions for certain parameter configuration.
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Authors
Cosme Duque, Marcos Lizana,