Modeling the parasitic filariasis spread by mosquito in periodic environment

DOI10.1155/2017/4567452zbMath1369.92114OpenAlexW2587704966WikidataQ37657449 ScholiaQ37657449MaRDI QIDQ2401097

Xiao-Yun Wang, Mingfeng He, Yan Cheng, Qiuhui Pan

Publication date: 31 August 2017

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4567452

zbMATH Keywords

reproductive numberdisease-free periodic solutionlymphatic filariasis

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20)

Cites Work

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• Threshold dynamics of a malaria transmission model in periodic environment
• Existence of positive periodic solutions of an SEIR model with periodic coefficients.
• Global behavior for an age-dependent population model with logistic term and periodic vital rates
• Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population
• On a nonautonomous SEIRS model in epidemiology
• The epidemic threshold of vector-borne diseases with seasonality
• Global attractivity for discrete models of nonautonomous logistic equations
• A generalized nonautonomous SIRVS model

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