A Singular Perturbation Result and its Application to Mathematical Ecology

DOI10.2307/2048571zbMath0736.35048OpenAlexW4235525019MaRDI QIDQ3971078

Lige Li, Alexander G. Ramm

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048571

zbMATH Keywords

existencesingular perturbationBanach spacenonlinear equationpredator-prey systemunique positive solutionbounded regionnonlinear Dirichlet boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear differential equations in abstract spaces (34G20) Ecology (92D40) Singular perturbations of ordinary differential equations (34D15)

Related Items (1)

Necessary and sufficient condition for the existence of positive solutions of certain cooperative system

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Multiplicative perturbation of semigroup generators
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
• Diffusion and the Predator-Prey Interaction

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