Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions  

作　　者：Yi-Jin Zhang Chang-You Wang 

机构地区：[1]Institute of Applied MathematicsChongqing University of Posts and Telecommunications Chongqing 400065, P. R. China [2]Key Laboratory of Industrial Internet of Things and Networked Control Ministry of Education Chongqing 400065, P. R. China

出　　处：《International Journal of Biomathematics》2014年第2期1-11,共11页生物数学学报（英文版）

基　　金：This work is supported by Science and Technology Project of Chongqing Municipal Education Committee （Grant No. KJ 110501） of China, Natural Science Foundation Project of CQ CSTC （Grants No. CSTC2012jjA20016） of China and the NSFC （Grant Nos. 51005264, 11101298, 40801214） of China.

摘　　要：In this pape, almost periodic solution of a n-species Lotka-Volterra competition system with grazing rates and diffusions is investigated. By using the method of upper and lower solutions anti Schauder fixed point theorem as well as Lyapunov stability theory, we give sufficient conditions under which the strictly positive space homogeneous almost perilodic solution of the system is globally asymptotically stable. Moreover, some numerical simulations are given to validate our theoretical analysis.

关 键 词：Grazing rate competition model diffusion almost periodic solution stability. 

分 类 号：O175.5[理学—数学] O175.1[理学—基础数学]