Dynamic behaviors for fractional epidemiological model featuring vaccination and quarantine compartments

Hariharan, S.; Shangerganesh, L.; Debbouche, A.; Antonov, V.

doi:10.1007/s12190-024-02249-3

J. Appl. Math. Comput.

2024

DOI: 10.1007/s12190-024-02249-3

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Dynamic behaviors for fractional epidemiological model featuring vaccination and quarantine compartments

S. Hariharan,

L. Shangerganesh,

A. Debbouche

et al.

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2024

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Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Suganya,

Parthiban,

Shangerganesh

et al. 2024

Sci Rep

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Understanding the dynamics of the African swine fever virus during periods of intense replication is critical for effective combatting of the rapid spread. In our research, we have developed a fractional-order SVEIR model using the Caputo derivatives to investigate this behaviour. We have established the existence and uniqueness of the solution through fixed point theory and determined the basic reproduction number using the next-generation matrix method. Our study also involves an examination of the local and global stability of disease-free equilibrium points. Additionally, we have conducted optimal control analysis with two control variables to increase the number of recovered pigs while reducing the number of those infected and exposed. We have supported our findings with numerical simulations to demonstrate the effectiveness of the control strategy.

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Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Suganya,

Parthiban,

Shangerganesh

et al. 2024

Sci Rep

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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Dynamic behaviors for fractional epidemiological model featuring vaccination and quarantine compartments

Cited by 1 publication

References 29 publications

Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

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