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

Hui Wang, Xiaomin Hu, Zhixing Hu and Fucheng Liao

Mathematical Problems in Engineering, 2015, vol. 2015, 1-15

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:473539

DOI: 10.1155/2015/473539

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