Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects

الملخص EN

In this paper, the Lotka-Volterra 3-species mutualism models with diffusion and delay effects is investigated.

A simple and easily verifiable condition is given to ensure the global asymptotic stability of the unique positive steady-state solution of the corresponding steady-state problem in a bounded domain with Neumann boundary condition.

Our approach to the problem is based on inequality skill and the method of the upper and lower solutions for a more general reaction—diffusion system.

Finally, some numerical simulations are given to illustrate our results.