Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System

Global Stability of Almost Periodic Solution of a Discrete Multispecies Gilpin-Ayala Mutualism System

This paper discusses a discrete multispecies Gilpin-Ayala mutualism system. We first study the permanence and global attractivity of the system. Assume that the coefficients in the system are almost periodic sequences, we obtain the sufficient conditions for the existence of a unique almost periodic solution which is globally attractive and uniformly asymptotically stable by constructing a suit...

Global analysis of almost periodic positive solution of a multispecies discrete Gilpin-Ayala mutualism system with feedback controls

This paper discusses a multispecies discrete Gilpin-Ayala mutualism system with feedback controls. We firstly obtain the permanence of the system. Assuming that the coefficients in the system are almost periodic positive sequences, we obtain the sufficient conditions for the existence of a unique almost periodic positive solution which is globally attractive.

Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System

Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays

We discuss a discrete mutualism model with variable delays of the forms N1 n 1 N1 n exp{r1 n K1 n α1 n N2 n − μ2 n /1 N2 n − μ2 n − N1 n − ν1 n }, N2 n 1 N2 n exp{r2 n K2 n α2 n N1 n − μ1 n / 1 N1 n − μ1 n − N2 n − ν2 n }. By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solution ...

Almost Periodic Solutions of a Discrete Mutualism Model with Feedback Controls