Almost Periodic Solution of a Discrete Multispecies Type Competition-predator System
Hui Zhang *
Mathematics and OR Section, Xi’an Research Institute of High-tech, Hongqing Town, Xi’an, Shaanxi 710025, China.
Feng Feng
Department of Applied Mathematics, School of Science, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, China.
Xiaofeng Fang
Mathematics and OR Section, Xi’an Research Institute of High-tech, Hongqing Town, Xi’an, Shaanxi 710025, China.
Jing Wang
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 a discrete multispecies Gilpin-Ayala type competition-predator system. Firstly, permanence of the system is studied. 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 by the almost periodicity. Two examples together with numerical simulation indicate the feasibility of the main results.
Keywords: Almost periodic solution, discrete, competition-predator system, permanence, global attractivity