Oscillatory dynamics in a discrete predator-prey model with distributed delays.

Xu, Changjin; Chen, Lilin; Li, Peiluan; Guo, Ying · PLoS One · 2018

basic_science · Level V

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Abstract

This work aims to discuss a predator-prey system with distributed delay. Various conditions are presented to ensure the existence and global asymptotic stability of positive periodic solution of the involved model. The method is based on coincidence degree theory and the idea of Lyapunov function. At last, simulation results are presented to show the correctness of theoretical findings.

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