Global attractivity of stage structured predator-prey system with varying delay

Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (24): 50-53.

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Global attractivity of stage structured predator-prey system with varying delay

WU Daiyong

School of Mathematics and Computational Science, Anqing Normal University, Anqing, Anhui 246133, China

Online:2014-12-15 Published:2014-12-12

具有变时滞阶段结构捕食系统的全局吸引性

伍代勇

安庆师范学院数学与计算科学学院，安徽安庆 246133

Abstract

Abstract: This paper studies a mutual interference stage structured predator-prey system with varying delay. By using the comparison principle of differential inequations and an iteration scheme, a set of sufficient conditions are obtained for the global attractivity of a unique positive equilibrium of the system. An example with its numerical simulations shows the feasibility of the main results.

Key words: stage structure, mutual interference, global attractivity, predator-prey, varying delay

摘要： 研究了一类具有变时滞相互干扰阶段结构捕食系统。利用微分不等式比较原理和迭代法得到了系统平衡态全局吸引的充分条件，通过举例并进行数值模拟验证了结论的可行性。

关键词: 阶段结构, 相互干扰, 全局吸引性, 捕食-被捕食, 变时滞

WU Daiyong. Global attractivity of stage structured predator-prey system with varying delay[J]. Computer Engineering and Applications, 2014, 50(24): 50-53.

伍代勇. 具有变时滞阶段结构捕食系统的全局吸引性[J]. 计算机工程与应用, 2014, 50(24): 50-53.

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Global attractivity of stage structured predator-prey system with varying delay

具有变时滞阶段结构捕食系统的全局吸引性

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