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《Journal of Anhui University(Natural Sciences)》 2009-05
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Asymptotic behavior of the positive solution of the nonautonomous predator-prey model with generalized diffusion

WANG Ai-li,YAN En-rang(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721007,China)  
Nonautonomous predator-prey system with diffusion was investigated in the paper,each of the coefficients of which asymptotically approached a periodic function.Sufficient conditions which determined that all the positive solutions of this system asymptotically approached the periodic solution of the corresponding periodic system were obtained,by using comparable theory and constructing Lyapunov-type functions.
【Fund】: 国家自然科学基金资助项目(10701001);; 宝鸡文理学院重点科研计划基金资助项目(ZK0813)
【CateGory Index】: O175.7
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 GUI Zhan-ji(Department of Mathematics, Hainan Teachers College, Hainan Haikou 571158 China);Global Attractivity of Periodic Solution of Nonautonomous Three Species System[J];Journal of Biomathematics;2002-03
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 ZHANG Ke-yu (Harbin Institute of Technology,Harbin 150001);Existence and Uniqueness of Asymptotic Almost Periodicity of Logistic Equation and the chacrachter of the Solution[J];;2006-04
2 YAO Hui-li,YAN Rong (School of Applied Science,Harbin University of Science and Technology,Harbin 150080,China);Existence of Asymptotic Almost Periodic Sequence Solution of a Difference Equation[J];Journal of Harbin University of Science and Technology;2010-06
3 ZHANG Ke-yu (Harbin Institute of Technology,Harbin 150001);Existence and Uniqueness of Asymptotic Almost Periodicity of Logistic Equation and the chacrachter of the Solution[J];Journal of Yangtze University(Natural Science Edition);2006-10
4 NI Hua TIAN Li-xin ZHANG Ping-zheng (Faculty of Science,Jiangsu University,Zhenjiang Jiangsu 212013 China);On the Positive Almost Periodic Solutions of a Class of Nonlinear Lotka-Volterra Type System[J];Journal of Biomathematics;2011-02
5 GAO Qiao-qin,LUO Zhi-jiang(Department of Mathematics,Lüliang Higher College,Lishi 033000,China);Persistence and Asymptotic Property for a Non-autonomous Predator Diffusive System[J];Journal of Shanxi University(Natural Science Edition);2008-01
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