Some simple models of cannibalism

DOI10.1016/0025-5564(83)90052-4zbMath0502.92014OpenAlexW2029588806MaRDI QIDQ1173045

James C. Frauenthal

Publication date: 1983

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(83)90052-4

zbMATH Keywords

Hopf bifurcationage-structuredstable limit cycleasymptotically stable equilibriumcatastrophic transitionMcKendrick modelegg predationmodels of cannibalismvon Foerster partial differential equation model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

A mathematical model with young predation ⋮ Cycles in cannibalistic egg-larval interactions ⋮ A model for the growth of a population exhibiting stage structure: cannibalism and cooperation ⋮ The stabilizing role of cannibalism in a predator-prey system ⋮ Nonlinearly interacting age-dependent populations ⋮ Egg-eating age-structured predator and prey interactions: Some simple cases ⋮ Satiable egg eating predators ⋮ Egg-eating age-structured predators in interaction with age-structured prey ⋮ Simple mathematical models for cannibalism: A critique and a new approach

Cites Work

• On predator-prey interactions with predation dependent on age of prey
• On the stability of a predator-prey system with egg-eating predators
• Predator-prey interactions: Egg-eating predators
• Satiable egg eating predators
• Some simple models for nonlinear age-dependent population dynamics
• On Populations that Cannibalize Their Young
• Unnamed Item

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