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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 4/2022

18.09.2021 | Original Research

Modeling effects of impulsive control strategies on the spread of mosquito borne disease: role of latent period

verfasst von: Omprakash Singh Sisodiya, O. P. Misra, Joydip Dhar

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 4/2022

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Abstract

Controlling the mosquito population is a big challenge for humans. In this paper, we have studied the effects of impulsive control strategies on the spread of mosquito-borne diseases considering the latent period. Therefore, we proposed and analyzed a mosquito-borne disease model governed by a system of impulsive delay differential equations. The proposed mosquito-borne disease model also accounts for three different impulsive control strategies, namely vaccination, pesticides, and adulticides. Two thresholds \(R_1\) and \(R_2\) established for the global attractivity of the disease-free state and the persistence of the endemic state. The non-trivial disease-free solution of the proposed model is globally asymptotically stable if \(R_1\) and \(R_2\) less than one. It is shown that a unique positive endemic periodic solution exists only when \( R_1 \) and \( R_2\) greater than unity, which makes for the persistence of the disease. Numerical simulation supports the analytical finding and shows the effectiveness of the impulse control strategies.
Vorheriger Artikel Positive solutions for fractional (p, q)-difference boundary value problems
Nächster Artikel An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time

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Metadaten
Titel
Modeling effects of impulsive control strategies on the spread of mosquito borne disease: role of latent period
verfasst von
Omprakash Singh Sisodiya
O. P. Misra
Joydip Dhar
Publikationsdatum
18.09.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 4/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-021-01631-9

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