Hopf bifurcation in a reaction-diffusion model with Degn-Harrison reaction scheme

DOI10.1016/j.nonrwa.2016.07.002zbMath1350.35022OpenAlexW2511062436MaRDI QIDQ321973

Yaying Dong, Shunli Zhang, Shanbing Li

Publication date: 14 October 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.07.002

zbMATH Keywords

homogeneous Neumann boundary conditionsbifurcation direction

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Dynamics and pattern formation in a diffusive predator-prey system ⋮ Bifurcation analysis for energy transport system and its optimal control using parameter self-tuning law ⋮ Stability and bifurcation in a reaction-diffusion-advection predator-prey model ⋮ Hopf Bifurcation of a Generalized Delay-Induced Predator–Prey System with Habitat Complexity ⋮ A generalized Degn-Harrison reaction-diffusion system: asymptotic stability and non-existence results ⋮ Spatial Nonhomogeneous Periodic Solutions Induced by Nonlocal Prey Competition in a Diffusive Predator–Prey Model ⋮ Patterns and dynamics in the diffusive model of a nutrient-microorganism system in the sediment ⋮ Dynamics analysis of a chemical reaction-diffusion model subject to Degn-Harrison reaction scheme ⋮ TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL

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