4.7 Article

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

Journal

CHAOS SOLITONS & FRACTALS
Volume 147, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.110985

Keywords

Mittag-Leffler; Sensitivity analysis; Hyers-Ulam stability; Approximation

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This article discusses the transmission of Anthroponotic Cutaneous Leishmania and develops a mathematical model to analyze its qualitative behavior. The threshold number R-0 of the model is derived using the next generation method, and sensitivity analysis with other parameters is also considered. Several graphs of important parameters are discussed in the article.
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 R-0 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. (C) 2021 Elsevier Ltd. All rights reserved.

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