A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating Marburg infection

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10254796" target="_blank" >RIV/61989100:27740/24:10254796 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.aimspress.com/article/doi/10.3934/math.2024642" target="_blank" >https://www.aimspress.com/article/doi/10.3934/math.2024642</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/math.2024642" target="_blank" >10.3934/math.2024642</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating Marburg infection

Popis výsledku v původním jazyce

Marburg virus disease poses a significant risk to global health, impacting both humans and non-human primates. This study has yielded an optimal control model for potentially mitigating the transmission of the Marburg infection. The proposed mathematical model includes fractional-order derivatives in the Caputo sense. Initially, we analyzed the model without control measures, examining its key characteristics regarding local and global stabilities. Subsequently, we extended the model by incorporating suitable time-dependent optimal control variables. We have also introduced two timedependent control measures: psi 1 for the prevention of human-to-human Marburg transmission, and psi 2 to enhance the rate of quarantine of exposed individuals. We performed simulation analysis for both cases i.e., with and without optimal controls using the two-step Newton polynomial approximation study between classical and fractional cases validate the biological significance of the fractional operator and effectiveness of the proposed optimal control strategies.

Název v anglickém jazyce

A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating Marburg infection

Popis výsledku anglicky

Marburg virus disease poses a significant risk to global health, impacting both humans and non-human primates. This study has yielded an optimal control model for potentially mitigating the transmission of the Marburg infection. The proposed mathematical model includes fractional-order derivatives in the Caputo sense. Initially, we analyzed the model without control measures, examining its key characteristics regarding local and global stabilities. Subsequently, we extended the model by incorporating suitable time-dependent optimal control variables. We have also introduced two timedependent control measures: psi 1 for the prevention of human-to-human Marburg transmission, and psi 2 to enhance the rate of quarantine of exposed individuals. We performed simulation analysis for both cases i.e., with and without optimal controls using the two-step Newton polynomial approximation study between classical and fractional cases validate the biological significance of the fractional operator and effectiveness of the proposed optimal control strategies.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

—

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

AIMS Mathematics

ISSN

2473-6988

e-ISSN

2473-6988

Svazek periodika

9

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

36

Strana od-do

13159-13194

Kód UT WoS článku

001202042000001

EID výsledku v databázi Scopus

2-s2.0-85189986770