A FOOD CHAIN SYSTEM WITH DENSITY-DEPENDENT BIRTH RATE AND IMPULSIVE PERTURBATIONS

DOI10.1142/S0219525906000781zbMath1107.92060OpenAlexW2091343046MaRDI QIDQ3427033

Fenyan Wang, Shuwen Zhang, Lan-Sun Chen

Publication date: 14 March 2007

Published in: Advances in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219525906000781

zbMATH Keywords

extinctionbiological controlpermanenceimpulsive perturbationfood chain modeldensity-dependent birth

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Impulsive perturbations of a predator-prey system with modified Leslie-Gower and Holling type II schemes

Cites Work

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• Permanence of population growth models with impulsive effects
• Invasion and chaos in a periodically pulsed mass-action chemostat
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• The dynamics of an infectious disease in a population with birth pulses
• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
• Interaction of maturation delay and nonlinear birth in population and epidemic models

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