Control optimization and homoclinic bifurcation of a prey–predator model with ratio-dependent

Control optimization and homoclinic bifurcation of a prey–predator model with ratio-dependent

Abstract In this paper, a predator–prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the homoclinic cycle is obtained by analyzing the control parameter q. The existence,...

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Bibliographic Details
Main Authors: Zhenzhen Shi, Jianmei Wang, Qingjian Li, Huidong Cheng
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Advances in Difference Equations
Subjects:
Semi-continuous dynamic systems
Order one periodic orbit
Homoclinic cycle
Subsequence functions
Optimization
Online Access:http://link.springer.com/article/10.1186/s13662-018-1933-z

Internet

http://link.springer.com/article/10.1186/s13662-018-1933-z

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