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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Modeling Earth Systems and Environment

ISSN

2363-6203

e-ISSN

2363-6211

Svazek periodika

10

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

21

Strana od-do

7185-7205

Kód UT WoS článku

001322460500001

EID výsledku v databázi Scopus

2-s2.0-85205355534