Mutual interference and its effects on searching efficiency between predator–prey interaction with bifurcation analysis and chaos control. (March 2023)

• Record Type: Journal Article
• Authors: Ishaque, Waqas; Din, Qamar; Taj, Muhammad
• Is Part Of: Journal of vibration and control. Volume 29:Number 5/6(2023)
• Page Start: 1031
• Page End: 1045
• Publication Date: 2023-03
• Subjects: Predator–prey -- mutual interference -- searching efficiency -- stability -- Neimark–Sacker bifurcation -- chaos control; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/10775463211056475
• Languages: English
• ISSNs: 1077-5463

Abstract

In this paper, we study the dynamic of the predator–prey model based on mutual interference and its effects on searching efficiency. The parametric conditions, existence, and stability for trivial and boundary equilibrium points are studied. Also, it has shown that by applying the center manifold theorem and bifurcation theory, system undergoes Neimark–Sacker bifurcation across the neighborhood of a positive fixed point. Moreover, due to the bifurcation and chaos which objectively exist in a system, three chaos control strategies are designed and used. Moreover, to validate our theoretical and analytical discussions, numerical simulations are applied to show complex and chaotic behavior. Finally, theoretical discussions are validated with experimental field data.