A Study of Transmission Dynamics of Monkeypox Mathematical Model in the Context of Protected Travellers Using ABC Fractional Order Derivative

Adom-Konadu, Agnes; Bonyah, Ebenezer; Sackitey, Albert Lanor; Anokye, Martin; Asamoah, Joshua K. Kiddy K.

doi:10.2139/ssrn.4341861

Cited by 1 publication

(1 citation statement)

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“…Najmul et al [35] presented some explanations for the spread of the MP virus in the Western world. In addition, Agnes et al [36] studied the transmission dynamics of the MP virus using the definition of the ABC fractional operator taking into account the effect of protected travelers. The transmission of the MP virus between humans and animals has been studied by Alia et al [37] via a fractional and fractal-fractional operator with a power law kernel.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and optimal control strategies of a fractional-order monkeypox virus infection model

El-Mesady,

Adel,

Elsadany

et al. 2023

Phys. Scr.

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In this study, the spread of the monkeypox virus is investigated through the dynamical study of a novel Caputo fractional order monkeypox epidemic model. The interaction between human and rodent populations along with the effects of control signals are considered in the model. These control signals are established through the optimal control strategy. Furthermore, the effect of memory is examined via varying fractional order parameters in the model. The influences of other parameters are also examined. The positivity and boundness of the solution are verified through theoretical analysis. In addition, the equilibrium points for the system are obtained for both the free and endemic cases, and the local stability has been studied. To verify the theoretical findings, numerical experiments are conducted. The optimal control signals are obtained and verified through numerical simulations of different configurations of control parameters. From these simulations, it is found that the optimal control scheme can help in reducing the size of the infected, quarantined, and exposed categories while increasing the susceptible and recovered categories. These acquired results can provide some assistance to governments in providing some preventive control to suppress the spread of the virus. ‎

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Section: Introductionmentioning

confidence: 99%