A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating Marburg infection
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating Marburg infection
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
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Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
AIMS Mathematics
ISSN
2473-6988
e-ISSN
2473-6988
Volume of the periodical
9
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
36
Pages from-to
13159-13194
UT code for WoS article
001202042000001
EID of the result in the Scopus database
2-s2.0-85189986770