Elliptic systems with nonlinear diffusion in population dynamics

zbMath0870.35037MaRDI QIDQ1355818

Antonio Cañada Villar, José Luis Gámez

Publication date: 28 May 1997

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

coexistence statesupper-lower-solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25)

Related Items (9)

A numerical method for finding positive solution of elliptic systems with nonlinear diffusion in population dynamics ⋮ A numerical method to obtain positive solution for classes of sublinear semipositone systems ⋮ Fixed point theorems for systems of equations in ordered Banach spaces with applications to differential and integral equations ⋮ Existence of positive solutions for some problems with nonlinear diffusion ⋮ Computational method to obtain positive solution for classes of Laplacian systems with sign-changing weight functions ⋮ Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics ⋮ Structure of positive solutions for some semilinear elliptic systems where bifurcation from infinity occurs ⋮ Positive solutions of certain nonlinear elliptic systems with self-diffusions: nondegenerate vs. degenerate diffusions ⋮ Stability and uniqueness for cooperative degenerate Lotka-Volterra model

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