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

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

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.

Suggested Citation

  • Zarin, Rahat & Khan, Amir & Inc, Mustafa & Humphries, Usa Wannasingha & Karite, Touria, 2021. "Dynamics of five grade leishmania epidemic model using fractional operator with Mittag–Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003398
    DOI: 10.1016/j.chaos.2021.110985
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    References listed on IDEAS

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    1. Din, Anwarud & Khan, Amir & Baleanu, Dumitru, 2020. "Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Sajjadi, Samaneh Sadat & Baleanu, Dumitru & Jajarmi, Amin & Pirouz, Hassan Mohammadi, 2020. "A new adaptive synchronization and hyperchaos control of a biological snap oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
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    1. Zehba Raizah & Rahat Zarin, 2023. "Advancing COVID-19 Understanding: Simulating Omicron Variant Spread Using Fractional-Order Models and Haar Wavelet Collocation," Mathematics, MDPI, vol. 11(8), pages 1-30, April.

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