Journal article
A predator-prey system with stage-structure for predator and nonlocal delay
In
Nonlinear Analysis: Theory, Methods and Applications
—
2010, Volume 72, Issue 3-4, pp. 2019-2030
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.
| Language: | English |
|---|---|
| Year: | 2010 |
| Pages: | 2019-2030 |
| ISSN: | 18735215 and 0362546x |
| Types: | Journal article |
| DOI: | 10.1016/j.na.2009.10.002 |
| ORCIDs: | Pedersen, Michael |
