Bifurcation analysis and chaos of a modified Holling-Tanner model with discrete time

DOI10.11948/20240028zbMATH Open1547.34057MaRDI QIDQ6616948

Chun-Rui Zhang, Qingkai Xu

Publication date: 9 October 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

chaosHopf bifurcationflip bifurcationHolling-Tanner model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Unnamed Item
• Unnamed Item
• Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response
• A derivation of Holling's type I, II and III functional responses in predator-prey systems
• Elements of applied bifurcation theory.
• Study of a Leslie-Gower-type tritrophic population model
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• A predator-prey system with generalized Holling type IV functional response and Allee effects in prey
• Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population
• Holling-Tanner model with Beddington-DeAngelis functional response and time delay introducing harvesting
• Persistence in predator-prey systems with ratio-dependent predator influence
• Complex dynamic behaviors of a discrete-time predator-prey system
• Nonlinear semelparous Leslie models
• Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system
• Stochastic persistence and stability analysis of a modified Holling-Tanner model
• Dynamics of a Predator-Prey Model
• Global Stability for a Class of Predator-Prey Systems
• Synchronization in chaotic systems
• DYNAMICAL BEHAVIOR ANALYSIS OF A TWO-DIMENSIONAL DISCRETE PREDATOR-PREY MODEL WITH PREY REFUGE AND FEAR FACTOR
• Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect
• Dynamic analysis of a Leslie–Gower-type predator–prey system with the fear effect and ratio-dependent Holling III functional response
• A Holling–Tanner Predator–Prey Model with Strong Allee Effect
• Global Dynamics of a Predator-Prey Model with Stage Structure for the Predator
• Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment
• Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices
• Bifurcation analysis of a modified Leslie-Gower predator-prey system
• A predator-prey model with Crowley-Martin functional response: a nonautonomous study

This page was built for publication: Bifurcation analysis and chaos of a modified Holling-Tanner model with discrete time