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

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 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...

Almost Periodic Solutions of a Discrete Mutualism Model with Feedback Controls

Almost periodic sequence solutions of a discrete cooperation system with feedback controls

In this paper, we consider the almost periodic solutions of a discrete cooperation system with feedback controls. Assuming that the coefficients in the system are almost periodic sequences, we obtain the existence and uniqueness of the almost periodic solution which is uniformly asymptotically stable. Keywords—Discrete cooperation model; Almost periodic solution; Feedback control; Lyapunov func...

Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls

and Applied Analysis 3 where xi k , i 1, 2 stand for the density of the prey and the predator at time k, respectively. ui k , i 1, 2 are the control variables at time k. h2 is a positive constant, denoting the constant of capturing half-saturation. In this paper, we are concerned with the effects of the almost periodicity of ecological and environmental parameters and time delays on the global ...