Investigating the effect of three different types of diffusion on the stability of a Leslie-Gower type predator-prey system

DOI10.1142/S1793524523500559zbMATH Open1542.35033MaRDI QIDQ6560741

Hongyu Chen, Chunrui Zhang

Publication date: 24 June 2024

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Title not available (Why is that?)
• Unstable patterns in reaction-diffusion model of early carcinogenesis
• Instability of Turing patterns in reaction-diffusion-ODE systems
• Global Hopf bifurcation of a general predator-prey system with diffusion and stage structures
• Effects of spatial grouping on the functional response of predators
• Turing-Hopf bifurcation and spatiotemporal patterns in a diffusive predator-prey system with Crowley-Martin functional response
• The stability of equilibria for a reaction-diffusion-ODE system on convex domains
• Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator
• Instability of all regular stationary solutions to reaction-diffusion-ODE systems
• Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
• Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect
• Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
• Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations
• Hysteresis-driven pattern formation in reaction-diffusion-ODE systems
• Bifurcations and pattern formation in a predator-prey model with memory-based diffusion
• Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
• Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator
• Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect
• Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion
• Dynamic analysis of a Leslie–Gower-type predator–prey system with the fear effect and ratio-dependent Holling III functional response
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay
• Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory
• Turing patterns induced by self-diffusion in a predator-prey model with schooling behavior in predator and prey

This page was built for publication: Investigating the effect of three different types of diffusion on the stability of a Leslie-Gower type predator-prey system

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6560741)