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

2022 ◽  
Vol 64 ◽  
pp. 103453
Author(s):  
Zuchong Shang ◽  
Yuanhua Qiao
Keyword(s):  
Functional Response ◽  
Bifurcation Analysis ◽  
Allee Effect ◽  
Predator Prey ◽  
Type Iv ◽  
Prey System ◽  
Strong Allee Effect

scholarly journals Investigation on dynamics of an impulsive predator–prey system with generalized Holling type IV functional response and anti-predator behavior

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sekson Sirisubtawee ◽  
Nattawut Khansai ◽  
Akapak Charoenloedmongkhon
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Impulsive Control ◽  
Positive Periodic Solution ◽  
Existence Condition ◽  
Predator Prey ◽  
Type Iv ◽  
Prey System ◽  
Existence And Stability ◽  
Predator Behavior

AbstractIn the present article, we propose and analyze a new mathematical model for a predator–prey system including the following terms: a Monod–Haldane functional response (a generalized Holling type IV), a term describing the anti-predator behavior of prey populations and one for an impulsive control strategy. In particular, we establish the existence condition under which the system has a locally asymptotically stable prey-eradication periodic solution. Violating such a condition, the system turns out to be permanent. Employing bifurcation theory, some conditions, under which the existence and stability of a positive periodic solution of the system occur but its prey-eradication periodic solution becomes unstable, are provided. Furthermore, numerical simulations for the proposed model are given to confirm the obtained theoretical results.

scholarly journals The Dynamical Behavior of a Predator-Prey System with Holling Type II Functional Response and Allee Effect

2020 ◽  
Vol 11 (05) ◽  
pp. 407-425
Author(s):  
Shuangte Wang ◽  
Hengguo Yu ◽  
Chuanjun Dai ◽  
Min Zhao
Keyword(s):  
Functional Response ◽  
Allee Effect ◽  
Dynamical Behavior ◽  
Type Ii ◽  
Predator Prey ◽  
Prey System ◽  
Type Ii Functional Response
Sign in / Sign up

Export Citation Format

Share Document