Modeling the dynamics of dengue fever with double susceptibility and optimal control strategies

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255708" target="_blank" >RIV/61989100:27740/24:10255708 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s40808-024-02152-7#citeas" target="_blank" >https://link.springer.com/article/10.1007/s40808-024-02152-7#citeas</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40808-024-02152-7" target="_blank" >10.1007/s40808-024-02152-7</a>

Result language

angličtina

Original language name

Modeling the dynamics of dengue fever with double susceptibility and optimal control strategies

Original language description

Dengue fever poses a global health challenge and has a substantial economic impact on the world economy. Various epidemic models have been studied to gain a better understanding of transmission patterns and formulate efficient control strategies for this global infection. In this paper, we investigate the transmission dynamics of dengue fever using a novel mathematical model with double susceptibility and partial immunity. Both symptomatic and asymptomatic infections are considered in the model formulation. The dynamics of the model are evaluated through the basic reproduction number R0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathcal {R}_0$$end{document}. We have proved that the model is stable at the disease-free equilibrium for R0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathcal {R}_0$$end{document} is less than 1, and it is globally asymptotically stable under certain conditions. Furthermore, we demonstrate that the infection will persist uniformly in the system if R0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathcal {R}_0$$end{document} exceeds 1. The most sensitive factors influencing the infection incidence are evaluated using the well-known normalized sensitivity analysis. We found that the biting rate and birth rate of infected mosquitoes substantially contribute to dengue infection. Optimal control theory is then used to obtain the best control strategy for eradicating the infection. For this purpose, we incorporate three time-dependent control variables, namely, larvicide mosquito strategies, preventive measures to minimize human-mosquito contacts, and proper treatment or medication. The model is simulated by considering four scenarios that combine the different control variables. These results indicate that the implementation of all control measures simultaneously is necessary for the early eradication of infection in both populations.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

21100 - Other engineering and technologies

Project

—

Continuities

O - Projekt operacniho programu

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Modeling Earth Systems and Environment

ISSN

2363-6203

e-ISSN

2363-6211

Volume of the periodical

10

Issue of the periodical within the volume

6

Country of publishing house

DE - GERMANY

Number of pages

21

Pages from-to

7185-7205

UT code for WoS article

001322460500001

EID of the result in the Scopus database

2-s2.0-85205355534