Global Stability of a Three-Species Food-Chain Model with Diffusion and Nonlocal Delays

Abstract

In this paper, a three species reaction-diffusion food-chain system with nonlocal delays is investigated. Sufficient conditions are derived for the global stability of a positive steady state and boundary steady states of the system by using the energy function method. Numerical simulations are carried out to illustrate the theoretical results.

Keywords:

• food-chain model
• reaction-diffusion
• nonlocal delay
• global stability

AMS Sub ject Classification:

• 35B35
• 92D25