Population systems with nonlinear discrete diffusion terms.

DOI10.1016/S0022-247X(03)00249-XzbMath1037.34040OpenAlexW2012995251MaRDI QIDQ1399364

Manuel Gámez, Antonio R. Tineo

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00249-x

zbMATH Keywords

competitive systemBrouwer's degreeIterative schemesPredator-preypopulation systemsFixed-point indexNonlinear diffusion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• An iterative scheme for the \(N\)-competing species problem
• Cooperative systems and time-varying discrete diffusion for single species
• The periodic predator-prey Lotka-Volterra model
• Positive periodic solutions of predator-prey reaction-diffusion systems
• On an abstract competition model and applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Asymptotic behaviour of solutions of periodic competition diffusion system

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