Bifurcation and stability of a Mimura-Tsujikawa model with nonlocal delay effect

DOI10.1002/mma.4135zbMath1370.35041OpenAlexW2513457819MaRDI QIDQ2978118

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Publication date: 21 April 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4135

zbMATH Keywords

Hopf bifurcationLyapunov-Schmidt reductionsteady state solutionshomogeneous Neumann boundary conditions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Bifurcations in context of PDEs (35B32) Bifurcation theory of functional-differential equations (34K18) Cell movement (chemotaxis, etc.) (92C17)

Related Items (7)

Global existence and stability in a two-species chemotaxis system ⋮ Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect ⋮ Dynamics of a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity ⋮ Patterns in a Modified Leslie–Gower Model with Beddington–DeAngelis Functional Response and Nonlocal Prey Competition ⋮ Dynamics of a Nonlocal Dispersal Model with a Nonlocal Reaction Term ⋮ Patterns in a nonlocal time-delayed reaction-diffusion equation ⋮ Stability and Bifurcation in a Predator–Prey System with Prey-Taxis

Cites Work

• Unnamed Item
• Unnamed Item
• Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition
• Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
• Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay
• Exponential attractor for a chemotaxis-growth system of equations
• Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect
• Chemotaxis with logistic source: very weak global solutions and their boundedness properties
• Hopf bifurcations in a reaction-diffusion population model with delay effect
• Singularities and groups in bifurcation theory. Volume II
• Spatial pattern formation in a chemotaxis-diffusion-growth model
• Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
• Quasilinear abstract parabolic evolution equations and exponential attractors
• Theory and applications of partial functional differential equations
• Stability and Hopf bifurcation for a population delay model with diffusion effects
• Bifurcation theory of functional differential equations
• Mathematics of traveling waves in chemotaxis
• Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
• Chemotaxis and growth system with singular sensitivity function
• Hopf bifurcation and stability of a competition diffusion system with distributed delay
• LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
• Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with Diffusion
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Normal forms and Hopf bifurcation for partial differential equations with delays
• Asymptotic dynamics of the one‐dimensional attraction–repulsion Keller–Segel model
• A Chemotaxis System with Logistic Source

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