Hopf bifurcation and nonlinear state feedback control for a modified Lotka-Volterra differential algebraic predator-prey system

This paper systematically studies a modified Lotka-Volterra differential algebraic predator-prey system, which is combined with nonlinear harvesting in prey and gestation delayed for predator. According to the stability and bifurcation theorem, through considering gestation delayed as a bifurcation...

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Bibliographic Details
Published inFifth International Conference on Intelligent Control and Information Processing pp. 233 - 238
Main Authors Meng Li, Boshan Chen, Gan Wang, Zhenwei Li, Wei Liu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2014
Subjects
Bifurcation
Biological system modeling
Economics
Mathematical model
Predator prey systems
State feedback
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ISBN1479936499
9781479936496
DOI10.1109/ICICIP.2014.7010345

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Summary:This paper systematically studies a modified Lotka-Volterra differential algebraic predator-prey system, which is combined with nonlinear harvesting in prey and gestation delayed for predator. According to the stability and bifurcation theorem, through considering gestation delayed as a bifurcation parameter, the occurrence of Hopf bifurcation of proposed system is shown. Moreover, the nonlinear state feedback controller is designed to control the Hopf bifurcation, and the population of prey and predator can be driven to steady states by adjusting harvesting costs and the economic profit. Lastly, numerical simulations illustrate the effectiveness of the results obtained here.
ISBN:1479936499
9781479936496
DOI:10.1109/ICICIP.2014.7010345