The dynamics of a delayed Gompertz model with Holling IV function response and impulsive effects at different moment on the prey

DOI10.1007/s12190-015-0889-3zbMath1343.34179OpenAlexW1977917948WikidataQ115601656 ScholiaQ115601656MaRDI QIDQ295425

Yuanfu Shao, Xianjia Fang, Weili Kong, Zhixiang Ju, Zhen Wang, Xiangmin Ma

Publication date: 13 June 2016

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

Full work available at URL: https://doi.org/10.1007/s12190-015-0889-3

zbMATH Keywords

global attractivitypermanencestage-structureimpulsive effect

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

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• Permanence of a stage-structured predator-prey system with impulsive stocking prey and harvesting predator
• Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure
• Optimal control of harvest and bifurcation of a prey-predator model with stage structure
• Delay differential equations: with applications in population dynamics
• The dynamics of an impulsive delay predator-prey model with stage structure and Beddington-type functional response
• Dynamical analysis of a stage structured predator-prey system with impulsive diffusion and generic functional response
• Dynamics behaviors of a delayed stage-structured predator-prey model with impulsive effect
• Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• The dynamic complexity of an impulsive Holling II predator-prey model with mutual interference
• Partial survival and extinction of a delayed predator-prey model with stage structure
• Dynamics of a general prey-predator model with prey-stage structure and diffusive effects
• The dynamics of a stage-structured predator-prey system with impulsive effect and Holling mass defence
• A new stage structured predator-prey Gompertz model with time delay and impulsive perturbations on the prey
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects
• The periodic competing Lotka-Volterra model with impulsive effect
• Periodic solutions of periodic delay Lotka-Volterra equations and systems