Bifurcation diagrams of population models with nonlinear diffusion
From MaRDI portal
Publication:2496271
DOI10.1016/j.cam.2005.08.004zbMath1122.35309OpenAlexW2158062808MaRDI QIDQ2496271
Young He Lee, Junping Shi, Lena Sherbakov, Jackie Taber
Publication date: 12 July 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.08.004
Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)
Related Items (8)
Unnamed Item ⋮ Asymptotic behavior for a class of the renewal nonlinear equation with diffusion ⋮ Coexistence and asymptotic periodicity in a competitor-competitor-mutualist model ⋮ Extinction conditions for isolated populations with Allee effect ⋮ Decay solution for the renewal equation with diffusion ⋮ Permanence of delay competitive systems with weak Allee effects ⋮ Persistence in reaction diffusion models with weak Allee effect ⋮ On a nonlinear renewal equation with diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcation studies in reaction-diffusion
- Bifurcation studies in reaction-diffusion. II
- Global bifurcation of steady-state solutions
- Global solution branches of two point boundary value problems
- Exact multiplicity of positive solutions for a class of semilinear problems
- On the time map of a nonlinear two point boundary value problem
- Positive solutions to a system of differential equations modeling a competitive interactive system with nonlogistic growth rates
- A complete classification of bifurcation diagrams of a Dirichlet problem with concave-convex nonlinearities.
- Blow up points of solution curves for a semilinear problem
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 1: An introduction.
- Persistence and bifurcation of degenerate solutions
- Persistence in reaction diffusion models with weak Allee effect
- Sur les périodes des solutions de l'équation différentielle x + g(x) = 0
- Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
- Spatial Ecology via Reaction‐Diffusion Equations
- Conditional persistence in logistic models via nonlinear diffusion
- Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity
This page was built for publication: Bifurcation diagrams of population models with nonlinear diffusion