A PREY-PREDATOR MODEL WITH HOLLING Ⅱ FUNCTIONAL RESPONSE AND THE CARRYING CAPACITY OF PREDATOR DEPENDING ON ITS PREY

DOI10.11948/2018.1464zbMath1461.34071OpenAlexW2893900185MaRDI QIDQ5148044

Hanwu Liu, Fengqin Zhang, Ting Li

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1464

zbMATH Keywords

prey-predator modeldensity-dependentglobal behaviorHolling II functional response

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Adaptation of species as response to climate change: predator-prey mathematical model ⋮ Stable limit cycles in an intraguild predation model with general functional responses ⋮ Metapopulation model for a prey-predator system: nonlinear migration due to the finite capacities of patches ⋮ DYNAMICS OF A STOCHASTIC THREE SPECIES PREY-PREDATOR MODEL WITH INTRAGUILD PREDATION ⋮ DYNAMICS OF A MODIFIED LESLIE-GOWER MODEL WITH GESTATION EFFECT AND NONLINEAR HARVESTIN

Cites Work

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• A predator-prey model with Ivlev's functional response
• Logistic growth with a slowly varying Holling type II harvesting term
• Novel dynamics of a predator-prey system with harvesting of the predator guided by its population
• Hopf bifurcation for a predator-prey model with age structure

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