Steady states for resource and sexual competition models with diffusions

DOI10.1007/s10883-011-9129-9zbMath1244.35040OpenAlexW2015560014MaRDI QIDQ415574

Wonlyul Ko, Inkyung Ahn

Publication date: 8 May 2012

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-011-9129-9

zbMATH Keywords

fixed point indexelliptic systemresource competitionpositive coexistencesexual competitionupper/lower solution

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Second-order elliptic systems (35J47)

Cites Work

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• Coexistence and stability of a competition-diffusion system in population dynamics
• Population dynamics of sexual and resource competition
• On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
• Competitive exclusion and persistence in models of resource and sexual competition
• Dynamics of Lotka-Volterra competition systems with large interaction
• On the indices of fixed points of mappings in cones and applications
• Asymptotic behavior of a competition—diffusion system in population dynamics
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Positive solutions of a class of biological models in a heterogeneous environment
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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