Non-constant positive steady states for a strongly coupled nonlinear reaction-diffusion system arising in population dynamics
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Publication:888124
DOI10.1216/RMJ-2015-45-4-1333zbMath1335.35130OpenAlexW1928920733MaRDI QIDQ888124
Publication date: 4 November 2015
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1446472437
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Pattern formations in context of PDEs (35B36)
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
- Positive steady states for a prey-predator model with some nonlinear diffusion terms
- Non-constant positive steady states of a prey-predator system with cross-diffusions
- Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model
- Coexistence in a simple food chain with diffusion
- Diffusion vs cross-diffusion: An elliptic approach
- Coexistence of three species in a strongly coupled elliptic system.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
- On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion
- Mathematical biology. Vol. 1: An introduction.
- New solutions of the Gelfand problem
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Diffusion, self-diffusion and cross-diffusion
- Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
- Strategy and stationary pattern in a three-species predator--prey model
- Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
- Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion
- A strongly coupled predator-prey system with non-monotonic functional response
- Positive solutions of a diffusive prey-predator model in a heterogeneous environment
- The instability of spiky steady states for a competing species model with cross diffusion
- Analysis of a parabolic cross-diffusion population model without self-diffusion
- Global bifurcation of co-existence states for a predator-prey-mutualist model with diffusion
- Elliptic Partial Differential Equations of Second Order
- Singular Perturbation Approach to a 3-component Reaction-Diffusion System Arising in Population Dynamics
- The chemical basis of morphogenesis
- Regularity and coexistence problems for strongly coupled elliptic systems