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


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.

SUBMITTER: Xu C 

PROVIDER: S-EPMC6306177 | biostudies-literature | 2018

REPOSITORIES: biostudies-literature

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

Xu Changjin C   Chen Lilin L   Li Peiluan P   Guo Ying Y  

PloS one 20181226 12


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. ...[more]

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