The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments

Title:

The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments

Creator:

Wang, Linjun, Xie, Youxiang, and Deng, Qicheng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3dbafde6-2187-4106-9827-a731cfd876e5
uuid:3dbafde6-2187-4106-9827-a731cfd876e5
doi:10.14736/kyb-2018-3-0522

Subject:

impulsive differential equation, bifurcation theory, stability, impulsive control, and persistence and extinction

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution are analyzed by bifurcation theory of impulsive differential equation. Finally, the analytical results presented in the work are validated by numerical simulation figures for this proposed model.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2018 Volume:54 | Number:3

Harvested from:

CDK

Metadata only:

false