Mathematical modelling to control a pest population by infected pests

DOI10.1016/j.apm.2008.08.018zbMath1205.34065OpenAlexW2088915674MaRDI QIDQ965667

Shulin Sun, Lan-Sun Chen

Publication date: 24 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.apm.2008.08.018

zbMATH Keywords

permanenceintegrated pest managementglobally asymptotic stability

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

A prey-dependent consumption two-prey one predator eco-epidemic model concerning biological and chemical controls at different pulses ⋮ Geometric analysis of a pest management model with Holling's type III functional response and nonlinear state feedback control ⋮ Prey-predator model with two-stage infection in prey: concerning pest control ⋮ Modeling the effects of insects and insecticides with external efforts on agricultural crops ⋮ Two generalized predator-prey models for integrated pest management with stage structure and disease in the prey population ⋮ Geometric analysis of an integrated pest management model including two state impulses ⋮ Periodic solution of a prey-predator model with nonlinear state feedback control ⋮ A Filippov system describing media effects on the spread of infectious diseases ⋮ An eco-epidemic pest-natural enemy SI model in two patchy habitat with impulsive effect ⋮ Dynamical analysis of a pest management Leslie-Gower model with ratio-dependent functional response ⋮ Modeling the effects of insects and insecticides on agricultural crops with NSFD method ⋮ Dynamics of Leslie-Gower pest-predator model with disease in pest including pest-harvesting and optimal implementation of pesticide ⋮ Effect of time delay in controlling crop pest using farming awareness ⋮ Periodic solution of a pest management Gompertz model with impulsive state feedback control

Cites Work

• Integrated pest management models and their dynamical behaviour
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Mathematical models for the control of pests and infectious diseases: A survey
• Graphical stability, enrichment, and pest control by a natural enemy
• On the asymptotic stability of systems with impulses by the direct method of Lyapunov
• The periodic solution of a class of epidemic models
• Stability with respect to part of the variables in systems with impulse effect
• 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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