Stability and bifurcation of a diffusive predator-prey model in a spatially heterogeneous environment

zbMath1445.35041MaRDI QIDQ2194519

Zhengce Zhang, Biao Wang

Publication date: 26 August 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2020/26-36.html

zbMATH Keywords

spatial heterogeneitybifurcation of stationary solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
• Local dynamics of a diffusive predator-prey model in spatially heterogeneous environment
• Existence of positive solutions for a prey-predator model with refuge and diffusion
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
• On the dependence of population size upon random dispersal rate
• On global bifurcation for quasilinear elliptic systems on bounded domains
• Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
• The coexistence states of a predator-prey model with nonmonotonic functional response and diffusion
• Large amplitude stationary solutions to a chemotaxis system
• The evolution of slow dispersal rates: a reaction diffusion model
• \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
• The evolution of dispersal rates in a heterogeneous time-periodic environment
• Convergence in competition models with small diffusion coefficients
• Dynamics of a diffusive competition model in spatially heterogeneous environment
• A diffusive predator-prey model in heterogeneous environment
• On the effects of migration and spatial heterogeneity on single and multiple species
• Bifurcation from simple eigenvalues
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Some uniqueness and exact multiplicity results for a predator-prey model
• Spatial Ecology via Reaction‐Diffusion Equations
• Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
• Bifurcation analysis of a diffusive predator-prey model in spatially heterogeneous environment
• Positive steady states of the Holling–Tanner prey–predator model with diffusion
• Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems

This page was built for publication: Stability and bifurcation of a diffusive predator-prey model in a spatially heterogeneous environment