Bifurcation analysis and chaos control in a host‐parasitoid model. (10th April 2017)

• Record Type: Journal Article
• Authors: Din, Qamar; Saeed, Umer
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 14(2017)
• Page Start: 5391
• Page End: 5406
• Publication Date: 2017-04-10
• Subjects: host‐parasitoid model -- stability analysis -- Neimark–Sacker bifurcation -- chaos control; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4395
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We investigate the qualitative behavior of a host‐parasitoid model with a strong Allee effect on the host. More precisely, we discuss the boundedness, existence and uniqueness of positive equilibrium, local asymptotic stability of positive equilibrium and existence of Neimark–Sacker bifurcation for the given system by using bifurcation theory. In order to control Neimark–Sacker bifurcation, we apply pole‐placement technique that is a modification of OGY method. Moreover, the hybrid control methodology is implemented in order to control Neimark–Sacker bifurcation. Numerical simulations are provided to illustrate theoretical discussion. Copyright © 2017 John Wiley & Sons, Ltd.