Dynamics of age-structured predator-prey population models

DOI10.1016/0022-247X(90)90073-OzbMath0706.92023OpenAlexW2031501172WikidataQ115599950 ScholiaQ115599950MaRDI QIDQ918898

Jia Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90073-o

zbMATH Keywords

stabilitypersistenceextinctionExistencepredator-prey modelcoexistenceequilibriaage structurefertility functionfunctional responses of predationMcKendrick-von Foerster partial differential equationmortality functionVolterra-Lotka ordinary differential equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Stability theory for ordinary differential equations (34D99)

Related Items (12)

Biological mechanisms of coexistence for a family of age structured population models ⋮ Oscillations in a size-structured prey-predator model ⋮ Stability and Hopf bifurcation analysis of a delayed predator-prey model with age-structure and Holling III functional response ⋮ Oscillations in age-structured models of consumer-resource mutualisms ⋮ Hopf bifurcation in an age-structured predator-prey system with Beddington-DeAngelis functional response and constant harvesting ⋮ A nonautonomous model for the interaction between a size-structured consumer and an unstructured resource ⋮ Stability problem for the age-dependent predator-prey model ⋮ Threshold dynamics of a predator-prey model with age-structured prey ⋮ An age-structured model for the spread of epidemic cholera: analysis and simulation ⋮ Hopf bifurcation for a predator-prey model with age structure ⋮ Hopf bifurcation for a predator-prey model with age structure ⋮ Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling III functional response and delays

Cites Work

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• Existence and stability of equilibria in age-structured population dynamics
• On the qualitative behaviour of populations with age-specific interactions
• Bifurcating periodic solutions for a class of age-structured predator- prey systems
• Predator-prey relationships: Indiscriminate predation
• Equilibria in structured populations
• Persistence and extinction in continuous age-structured population models
• On predator-prey interactions with predation dependent on age of prey
• A predator prey model with age structure
• On global stability of a predator-prey system
• Global Analysis of a System of Predator–Prey Equations

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