Global positive coexistence of a nonlinear elliptic biological interacting model

DOI10.1016/0025-5564(89)90040-0zbMath0698.92022OpenAlexW2064779003WikidataQ52425099 ScholiaQ52425099MaRDI QIDQ912801

Lige Li

Publication date: 1989

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(89)90040-0

zbMATH Keywords

Dirichlet problempositive equilibriumstability propertieselliptic predator-prey systeminteraction modelnecessary and sufficient condition for the coexistence of positive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (4)

Parameter ranges for the existence of solutions whose state components have specified nodal structure in coupled multiparameter systems of nonlinear Sturm–Liouville boundary value problems ⋮ Permanence in ecological systems with spatial heterogeneity ⋮ The relationships between equilibria and positive solutions of certain nonlinear elliptic systems ⋮ Practical persistence in ecological models via comparison methods

Cites Work

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• Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
• Decay to Uniform States in Ecological Interactions

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