An ecological system depending on ages and diffusion

DOI10.1016/0895-7177(88)90090-8zbMath0668.92018OpenAlexW1975770090MaRDI QIDQ1118552

Adolf Haimovici

Publication date: 1988

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(88)90090-8

zbMATH Keywords

initial value problempositive solutionfixed point theoremspredator-prey systemspatial structureage structureinteraction functionsLotka-Volterra dynamicsstable steady state solutionlocation- dependent birth dynamicsLotka von-Foerster schemen-species ecological systempredator population growthprey population suppression

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Ecology (92D40)

Cites Work

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• On interacting populations that disperse to avoid crowding: The effect of a sedentary colony
• Non-linear age-dependent population diffusion
• Bifurcations and large-time asymptotic behavior for prey-predator reaction-diffusion equations with Dirichlet boundary data
• Non-linear age-dependent population dynamics
• Diffusion and the Predator-Prey Interaction
• An Initial-Boundary Value Problem for Age-Dependent Population Diffusion

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