Systems of elliptic boundary value problems and applications to competition models

DOI10.1016/J.AML.2018.10.021zbMath1411.35108OpenAlexW2899075084MaRDI QIDQ1726586

Kunquan Lan, Wei Lin

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.021

zbMATH Keywords

population dynamicsboundary value problems for second-order elliptic systems

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

Positive solutions of Neumann boundary value problems and applications to logistic type population models ⋮ Positive solutions of elliptic boundary value problems and applications to population dynamics ⋮ Existence and uniqueness of solutions of nonlinear Cauchy‐type problems for first‐order fractional differential equations ⋮ Nonzero nonnegative solutions of population models of Ricker types and theory of limit inferiors and superiors ⋮ Newtonian potential and positive solutions of Poisson equations

Cites Work

• Nonzero positive weak solutions of systems of \(p\)-Laplace equations
• A topological approach to the existence and multiplicity of positive solutions of \((p, q)\)-Laplacian systems
• Discrete time models for two-species competition
• A non-variational approach to the existence of nonzero positive solutions for elliptic systems
• Stability analysis of a population model with maturation delay and Ricker birth function
• Note on nontrivial solutions for a class of \(p\)-Laplacian systems
• Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
• Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects
• Nonzero positive solutions of systems of elliptic boundary value problems
• Competitive exclusion and coexistence in ann-species Ricker model
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Multiple positive solutions of systems of Hammerstein integral equations with applications to fractional differential equations
• Interaction of maturation delay and nonlinear birth in population and epidemic models

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