The dynamic complexity of an impulsive Holling II predator-prey model with mutual interference

DOI10.1016/j.apm.2009.12.003zbMath1195.34018OpenAlexW2064206983WikidataQ115588065 ScholiaQ115588065MaRDI QIDQ1957344

Decai He, Qiujin Xu, Wen-tao Huang

Publication date: 25 September 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.12.003

zbMATH Keywords

comparison theorembifurcationimpulsive Holling II predator-prey modelpermanent existence

Mathematics Subject Classification ID

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

Related Items (12)

The dynamics of a delayed Gompertz model with Holling IV function response and impulsive effects at different moment on the prey ⋮ Dynamic analysis of a stage-structured predator–prey system with disturbed time delay and birth pulse ⋮ Periodic property and asymptotic behavior for a discrete ratio-dependent food-chain system with delays ⋮ Dynamics of stochastic predator-prey models with Holling II functional response ⋮ The dynamics of an eco-epidemic model with distributed time delay and impulsive control strategy ⋮ A delayed impulsive food chain system with prey refuge and mutual inference of predator ⋮ An impulsive three-species model with square root functional response and mutual interference of predator ⋮ Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a prey refuge and predator mutual interference ⋮ Multiple positive periodic solutions to a predator-prey model with Leslie-Gower Holling-type II functional response and harvesting terms ⋮ An impulsive two-stage predator-prey model with stage-structure and square root functional responses ⋮ The dynamic behaviors of one-predator two-prey system with mutual interference and impulsive control ⋮ Existence of positive periodic solutions for a neutral impulsive predator-prey model with Crowley-Martin functional response

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