Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls

الملخص EN

We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls.

We firstly obtain the permanence of the system by utilizing the theory of difference equation.

By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable.

An example together with numerical simulation indicates the feasibility of the main result.