A NEW MATHEMATICAL MODEL FOR OPTIMAL CONTROL STRATEGIES OF INTEGRATED PEST MANAGEMENT

DOI10.1142/S0218339007002143zbMath1279.92053WikidataQ113777216 ScholiaQ113777216MaRDI QIDQ2871170

Zhi-Tao Song, Lan-Sun Chen, Xin-Zhu Meng

Publication date: 22 January 2014

Published in: Journal of Biological Systems (Search for Journal in Brave)

zbMATH Keywords

periodic solutioneconomic thresholdimpulsive effectSI epidemic modelbiological and mechanical control

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60) Impulsive optimal control problems (49N25)

Related Items (10)

Impulsive perturbations of a three-trophic prey-dependent food chain system ⋮ Estimation of the domain of attraction for a class of hybrid systems ⋮ Transmission dynamics of a Huanglongbing model with cross protection ⋮ A new predator-prey model with a profitless delay of digestion and impulsive perturbation on the prey ⋮ The dynamics of an epidemic model for pest control with impulsive effect ⋮ Optimal control policies of pests for hybrid dynamical systems ⋮ A stage-structured SI eco-epidemiological model with time delay and impulsive controlling ⋮ Modeling citrus Huanglongbing transmission within an orchard and its optimal control ⋮ The onset of positive periodic solutions for a biochemical pest management model ⋮ Global stability and optimisation of a general impulsive biological control model

Cites Work

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• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• The dynamics of an infectious disease in a population with birth pulses
• On the Lambert \(w\) function
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• The dynamics of a prey-dependent consumption model concerning impulsive control strategy
• The periodic competing Lotka-Volterra model with impulsive effect

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