Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions

DOI10.3934/mbe.2015.12.699zbMath1329.35054OpenAlexW2318740705WikidataQ46728718 ScholiaQ46728718MaRDI QIDQ888645

Fang Yu, Lin Wang, James Watmough

Publication date: 2 November 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.699

zbMATH Keywords

Dirichlet boundary conditionsHopf bifurcationtransient dynamicssteady state bifurcation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) General biology and biomathematics (92B05) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Transient spatio-temporal dynamics of a diffusive plant–herbivore system with Neumann boundary conditions ⋮ The Influence of Dirichlet Boundary Conditions on the Dynamics for a Diffusive Predator–Prey System ⋮ Dynamics of a diffusive delayed competition and cooperation system ⋮ SPATIAL PATTERN FORMATIONS IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH NON-HOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS

Cites Work

• On positive solutions of some pairs of differential equations. II
• Stability and bifurcation of steady-state solutions for predator-prey equations
• Bifurcation from simple eigenvalues
• On Positive Solutions of Some Pairs of Differential Equations
• Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Transient oscillatory patterns in the diffusive non-local blowfly equation with delay under the zero-flux boundary condition
• Unnamed Item

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