Coexistence of a general elliptic system in population dynamics

DOI10.1016/j.camwa.2003.01.016zbMath1064.92037OpenAlexW2088434899WikidataQ61635651 ScholiaQ61635651MaRDI QIDQ1767969

Xianqiang Yang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.01.016

zbMATH Keywords

Positive solutionsStrongly-coupled elliptic systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (6)

Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects ⋮ Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion of fractional type ⋮ Direction of Hopf bifurcation in a delayed Lotka-Volterra competition diffusion system ⋮ Bifurcation of Lotka-Volterra competition model with nonlinear boundary conditions

Cites Work

• Existence of positive solutions for elliptic systems - degenerate and nondegenerate ecological models
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Coexistence in a simple food chain with diffusion
• Diffusion vs cross-diffusion: An elliptic approach
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• Stationary patterns in one-predator, two-prey models.
• Travelling waves for a class of cross-diffusion systems with small parameters
• A counterexample on competing species equations
• Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
• On the symbiotic Lotka-Volterra model with diffusion and transport effects
• The Jacobian matrix and global univalence of mappings
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Dynamics of the lotka-volterra systems with diffusion
• Nonlinear elliptic boundary-value problems in unbounded domains
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Global solution to some quasilinear parabolic system in population dynamics
• Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
• Global univalence and global inversion theorems in Banach spaces
• Positive solutions of certain elliptic systems with density-dependent diffusions
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