Dynamics of five grade leishmania epidemic model using fractional operator with Mittag–Leffler kernel

Rahat Zarin, Amir Khan, Mustafa Inc, Usa Wannasingha Humphries and Touria Karite

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: In this article, the Anthroponotic Cutaneous Leishmania transmission is discussed. In addition, a mathematical model for the Anthroponotic Cutaneous Leishmania transmission is developed and its qualitative behavior is considered. The threshold number R0 of the model is derived using the next generation method. Local stability at disease free and endemic equilibrium point is carried out. Finally, the sensitivity analysis of the threshold number with other parameters is also taken into account. Several graphs of important parameters are also discussed.

Keywords: Mittag–Leffler; Sensitivity analysis; Hyers–Ulam stability; Approximation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003398

DOI: 10.1016/j.chaos.2021.110985

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