Existence of positive solutions of Lotka-Volterra competition model with nonlinear boundary conditions

DOI10.1155/2014/102180zbMath1470.35160OpenAlexW2053157769WikidataQ59035198 ScholiaQ59035198MaRDI QIDQ1722090

Mingxin Wang, Yang Zhang, Yu-Wen Wang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/102180

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
• Pattern formation in competition-diffusion systems in nonconvex domains
• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Diffusion-induced extinction of a superior species in a competition system
• Effect of domain-shape on coexistence problems in a competition-diffusion system
• Existence of non-constant stable equilibria in competition-diffusion equations
• Diffusion, self-diffusion and cross-diffusion
• Separatrices of competition-diffusion equations
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Elliptic Partial Differential Equations of Second Order
• Positive solutions of certain elliptic systems with density-dependent diffusions

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