Positive Almost Periodic Solution on a Nonlinear Logistic Biological Model with Grazing Rates  

作　　者：NI Hua TIAN Li-xin 

机构地区：[1]Faculty of Science, Jiangsu University, Zhenjiang 212013, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第1期11-19,共9页数学季刊（英文版）

基　　金：Supported by the NNSF of China(11171135);Supported by the Jiangsu Province Innovation Project of Graduate Education(1221190037)

摘　　要：In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.In this paper, we study the following nonlinear biological model dx（t）/dt=x（t）[a（t）-b（t）x^a（t）]＋f（t,xt）, by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.

关 键 词：nonlinear biological model positive almost periodic solution fixed pointed theorem existence and uniqueness 

分 类 号：O175.6[理学—数学]