Nonlinear incidence rate of a pest management \(SI\) model with biological and chemical control concern

DOI10.1007/s10483-007-0415-yzbMath1231.34019OpenAlexW1980502692WikidataQ113904527 ScholiaQ113904527MaRDI QIDQ940278

Jian-Jun Jiao, Lan-Sun Chen

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0415-y

zbMATH Keywords

impulsivepest-extinctionchemical controlinfective

Mathematics Subject Classification ID

Epidemiology (92D30) Ordinary differential equations with impulses (34A37)

Related Items (7)

Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse ⋮ Local and global bifurcations in an SIRS epidemic model ⋮ Dynamics of a periodic switched predator-prey system with hibernation, birth pulse and impulsive harvesting ⋮ Dynamics of a periodic switched predator-prey system with impulsive harvesting and hibernation of prey population ⋮ Bifurcation Analysis of an SIV Epidemic Model with the Saturated Incidence Rate ⋮ Harvesting policy for a delayed stage-structured Holling II predator-prey model with impulsive stocking prey ⋮ Optimal control policies of pests for hybrid dynamical systems

Cites Work

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• Stability properties of pulse vaccination strategy in SEIR epidemic model
• The dynamics of an infectious disease in a population with birth pulses
• A ratio-dependent predator-prey model with disease in the prey
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
• On an SIS epidemic model with stage structure
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