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Modelling of transmission and control of Lassa fever via Caputo fractional-order derivative

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  • Abdullahi, Auwal

Abstract

This study formulates a new integer-order ordinary differential equation (ODE) Lassa fever model, through which its corresponding fractional- order differential equation (FODE) is devised via the Caputo fractional-order derivative. The existence and uniqueness of the solution of proposed FODE are studied through the fixed point theory. Using the Mittag-Leffler function, the positivity of the FODE model is determined. As a disease control measure, a culling strategy is applied on the population of rodents. Though this approach reduces the number of infected rodents, it does not completely eradicate the disease in humans. This finding can be relevant in ecological studies since it is practically impossible to cull the whole rodents potentially spreading the Lassa fever virus.

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  • Abdullahi, Auwal, 2021. "Modelling of transmission and control of Lassa fever via Caputo fractional-order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006251
    DOI: 10.1016/j.chaos.2021.111271
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    1. Li, Peiluan & Gao, Rong & Xu, Changjin & Ahmad, Shabir & Li, Ying & Akgül, Ali, 2023. "Bifurcation behavior and PDγ control mechanism of a fractional delayed genetic regulatory model," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Zhang, Yonghong & Li, Shouwei & Li, Jingwei & Tang, Xiaoyu, 2022. "A time power-based grey model with Caputo fractional derivative and its application to the prediction of renewable energy consumption," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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