Bifurcation analysis of a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey

• Published in: Nonlinear analysis: real world applications Vol. 64; p. 103453
• Main Authors: Shang, Zuchong, Qiao, Yuanhua
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.04.2022
• Subjects: Allee effect; Bogdanov–Takens bifurcation; Hopf bifurcation; Limit cycle(s); Predator–prey system; Predator–prey system; Bogdanov–Takens bifurcation; Hopf bifurcation; Limit cycle(s); Allee effect
• ISSN: 1468-1218; 1878-5719
• DOI: 10.1016/j.nonrwa.2021.103453

In this paper, a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey is proposed. The dissipativity of the system and the existence of all possible equilibria are investigated. The investigation emphasizes the exploring of bifurcation....