Models of age-dependent predation and cannibalism via the McKendrick equation

DOI10.1016/0898-1221(83)90055-XzbMath0541.92017WikidataQ115598989 ScholiaQ115598989MaRDI QIDQ794955

Daniel S. Levine

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

bifurcationcannibalismMcKendrick equationage-dependent population growthfixed point techniquesKolmogorov predator-prey equationLotka-Volterra differential equationone species age-dependent modelstwo species age-dependent modelsVolterra-Lotka

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Population dynamics (general) (92D25)

Related Items (3)

Biological mechanisms of coexistence for a family of age structured population models ⋮ Birth rate effects on an age-structured predator-prey model with cannibalism in the prey ⋮ Equilibria in structured populations

Cites Work

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• Bifurcating periodic solutions for a class of age-structured predator- prey systems
• On predator-prey interactions with predation dependent on age of prey
• On the stability of a predator-prey system with egg-eating predators
• Some simple models for nonlinear age-dependent population dynamics
• Non-linear age-dependent population dynamics
• On Populations that Cannibalize Their Young
• Bifurcation of Periodic Solutions of Integrodifferential Systems with Applications to Time Delay Models in Population Dynamics

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