Global Attractivity and Almost Periodic Solution of a Discrete Multispecies Lotka-Volterra Mutualism System with Feedback Controls
Hui Zhang *
Mathematics and OR Section, Xi'an Research Institute of High-tech Hongqing Town, Xi'an, Shaanxi 710025, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider an almost periodic discrete multispecies Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system. Assuming 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. An example together with numerical simulation indicates the feasibility of the main result.
Keywords: Almost periodic solution, discrete, feedback control, permanence, global attractivity, array grammar system.