Generic predation in age structure predator-prey models

DOI10.1016/j.amc.2013.12.146zbMath1410.92110OpenAlexW2001097521WikidataQ115598394 ScholiaQ115598394MaRDI QIDQ1644526

Roberto A. Ku-Carrillo, Francisco J. Solis

Publication date: 21 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.146

zbMATH Keywords

bifurcationPainlevé propertyanalytical modeling

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (5)

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 ⋮ The asymptotic stability of numerical analysis for stochastic age-dependent cooperative Lotka-Volterra system ⋮ A mathematical model of tree harvesting in age-structured forests subject to beetle infestations ⋮ Unnamed Item

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Nonlinear juvenile predation population dynamics
• Travelling wave solutions in multigroup age-structured epidemic models
• Some simple models for nonlinear age-dependent population dynamics
• The Painlevé property. One century later
• Self-limitation, fishing and cannibalism
• General population theory in the age-time continuum
• Coexistence in chemostat-like models
• Numerical continuation methods for dynamical systems. Path following and boundary value problems.
• Mathematical Models in Population Biology and Epidemiology
• Integrability and singularity structure of predator-prey system
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Global Asymptotic Behavior of a Chemostat Model with Discrete Delays

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