Impacts of predation-driven Allee effect in a predator-prey model

DOI10.1142/S0218127423500232zbMATH Open1539.92102MaRDI QIDQ6537630

Joydev Chattopadhyay, Sudip Samanta, Kaushik Kayal

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

bistabilitydirection of Hopf bifurcationmodified Leslie-Gower modelBogdanov-Tankens bifurcationextinction of preypredator-driven Allee effect

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Cites Work

• A delayed predator-prey model with strong Allee effect in prey population growth
• Allee effect in a discrete-time predator-prey system
• Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
• Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Elements of applied bifurcation theory.
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Modeling the effect of prey refuge on a ratio-dependent predator-prey system with the Allee effect
• Delay induced multiple stability switch and chaos in a predator-prey model with fear effect
• Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model
• Periodic solution and heteroclinic bifurcation in a predator-prey system with Allee effect and impulsive harvesting
• Big bang bifurcations and Allee effect in Blumberg's dynamics
• The stability of predator\,-\,prey systems subject to the Allee effects
• Spatiotemporal dynamics of Leslie-Gower predator-prey model with Allee effect on both populations
• Role of Prey Dispersal and Refuges on Predator-Prey Dynamics
• Population models with Allee effect: a new model
• The properties of a stochastic model for the predator-prey type of interaction between two species
• A DELAY NONAUTONOMOUS PREDATOR–PREY MODEL FOR THE EFFECTS OF FEAR, REFUGE AND HUNTING COOPERATION
• New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
• An Eco-Epidemiological Model with Different Competition Coefficients and Strong-Allee in the Prey
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Complex Dynamics of a Three-Species Food Chain Model with Fear and Allee Effect
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Speeds of invasion in a model with strong or weak Allee effects

Related Items (4)

Chaos and bistabilities in a food-chain model with Allee effect and additional food ⋮ Singular perturbation analysis for a Holling-Tanner model with additive Allee effect ⋮ Impact of predator-driven Allee and spatiotemporal effect on a simple predator-prey model ⋮ Bifurcation solutions to the templator model in chemical self-replication

This page was built for publication: Impacts of predation-driven Allee effect in a predator-prey model

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6537630)