Extinction and permanence of a two-prey two-predator system with impulsive on the predator

DOI10.1016/j.chaos.2005.08.076zbMath1142.34306OpenAlexW2027697839WikidataQ115580038 ScholiaQ115580038MaRDI QIDQ943244

Xinyu Song, Zhong-Yi Xiang

Publication date: 9 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.076

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25)

Related Items (8)

Bifurcation and complex dynamics of a two-prey two-predator system concerning periodic biological and chemical control ⋮ Coupling-induced oscillations in two intrinsically quiescent populations ⋮ The dynamic complexity of an impulsive Holling II predator-prey model with mutual interference ⋮ An impulsively controlled three-species prey-predator model with stage structure and birth pulse for predator ⋮ Tumour chemotherapy strategy based on impulse control theory ⋮ Stability and bifurcation in a two harmful phytoplankton-zooplankton system ⋮ The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response ⋮ Awakened oscillations in coupled consumer-resource pairs

Cites Work

• Unnamed Item
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• Permanence of population growth models with impulsive effects
• Permanence in Lotka-Volterra equations: Linked prey-predator systems
• Stable equilibrium of systems of generalized Volterra type
• Graphical stability, enrichment, and pest control by a natural enemy
• 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
• Chaos in three species food chain system with impulsive perturbations
• Stability in multispecies community models
• A two-component model of host-parasitoid interactions: Determination of the size of inundative releases of parasitoids in biological pest control

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