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.
|Journal||Nonlinear Analysis: Theory, Methods & Applications|
|Publication status||Published - 2010|
- Lyapunov functional
- Nonlocal delay