Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841946 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 12 Pages |
Abstract
This paper deals with the behavior of solutions to the reaction–diffusion system under homogeneous Neumann boundary condition, which describes a prey–predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results.
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Authors
Zhigui Lin, Michael Pedersen, Lai Zhang,