Almost Periodic Solution of a Discrete Commensalism System

By Yalong Xue, Xiangdong Xie, Fengde Chen, Rongyu Han. 2015

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A nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarantee the system global attractivity are obtained. If the coefficients are almost periodic, there exists an almost periodic solution and the almost periodic solution is globally attractive.

Subfields: Geometry and Topology, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f68230563e5edcc7c00bfd4020cffa9f8ca98557