Global Analysis of a Delayed Impulsive Lotka-Volterra Model with Holling III Type Functional Response

Wang Hui; Hu Xiaomin; Hu Zhixing; Liao Fucheng

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Global Analysis of a Delayed Impulsive Lotka-Volterra Model with Holling III Type Functional Response

机译：具有Holling III型功能性反应的时滞脉冲Lotka-Volterra模型的全局分析

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A delayed impulsive Lotka-Volterra model with Holing III type functional response was established. With the help of Mawhin's Continuation Theorem in coincidence degree theory, a sufficient condition is found for the existence of positive periodic solutions of the system under consideration. By applying the comparison theorem and constructing a suitable Lyapunov functional, the permanence and global attractivity of the model are proved. Two numerical simulations are also given to illustrate our main results.

机译：建立了具有Holing III型功能性反应的延迟脉冲Lotka-Volterra模型。借助重合度理论中的Mawhin连续性定理，为所考虑系统的正周期解的存在找到了充分的条件。通过应用比较定理并构建合适的Lyapunov泛函，证明了该模型的持久性和全局吸引性。还给出了两个数值模拟来说明我们的主要结果。

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《Mathematical Problems in Engineering》 |2015年第11期|473539.1-473539.15|共15页
作者
Wang Hui; Hu Xiaomin; Hu Zhixing; Liao Fucheng;
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Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China.;

Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China.;

Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China.;

Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China.;

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Global Analysis of a Delayed Impulsive Lotka-Volterra Model with Holling III Type Functional Response

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