Bionomics Dynamic Model of One Predator Feeding on Two Competing Prey Species Lotka-Volterra Systems with Infinite Delays
In this paper,we primarily explore a delayed one predator feeding on two competing prey species Lotka-Volterra system.We first study the existence of positive periodic solutions of this model by using the Krasnoselskii's fixed point theorem,and then present a sufficient condition for the global attractivity of periodic solutions with the help of the construction of Lyapunov function.Finally,an example is presented to illustrate the main results.
Positive periodic solutionsDynamic ModelKrasnoselskii's fixed point theorem
张道祥、陶龙、丁伟伟、周文、吕翔
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安徽师范大学,数学计算机科学学院,安徽芜湖241000
北京工业大学机械工程学院,北京100123
上海师范大学数学科学学院,上海200234
正周期解 动力学模型 Krasnoselskii不动点定理
Sponsored by the the National Natural Science Foundation of China
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