Hopf bifurcation and hybrid control of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response
type: Item
instance of: scholarly article
title: Hopf bifurcation and hybrid control of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response
zbMATH Open document ID: 1427.37069
DOI: 10.1155/2018/6052503
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Hopf bifurcation analysis of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response is investigated. By analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained. In addition, a hybrid control strategy is proposed to postpone the onset of an inherent bifurcation of the system. By utilizing normal form method and center manifold theorem, the explicit formulas that determine the direction of Hopf bifurcation and the stability of bifurcating period solutions of the controlled system are derived. Finally, some numerical simulation examples confirm that the hybrid controller is efficient in controlling Hopf bifurcation.
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 7019227
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6052503
OpenAlex ID: W2805424989
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description: scientific article; zbMATH DE number 7019227