DYNAMICS OF VISCERAL LEISHMANIA EPIDEMIC MODEL WITH NON-SINGULAR KERNEL

Yi Zhao (), Amir Khan (), Usa Wannasingha Humphries, Rahat Zarin (), Majid Khan () and Abdullahi Yusuf
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Yi Zhao: School of Mathematics, Hangzhou Normal University, Hangzhou 311121, P. R. China
Amir Khan: Department of Mathematics, Faculty of Science, King Mongkuts, University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
Usa Wannasingha Humphries: Department of Mathematics, Faculty of Science, King Mongkuts, University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
Rahat Zarin: Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pakhtunkhwa, Pakistan
Majid Khan: Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan
Abdullahi Yusuf: Department of Computer Engineering, Biruni University, Istanbul, Turkey6Department of Mathematics, Near East University, TRNC, Mersin 10, Turkey

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-27

Abstract: In this paper, we have taken into consideration the most dangerous form of leishmaniasis known as visceral leishmaniasis, which has the highest fatality rate and is also famous with the name of kala-azar. The analysis is carried out using Atangana–Baleanu–Caputo (ABC) operator with a convex incidence rate. Using fixed point theorems the existence and uniqueness for the solutions of the fractional leishmania epidemic model have been established. All the basic properties of the given model are studied along with stability analysis. Newton polynomial and Adams–Bashforth methods are taken into account to find the numerical solution.

Keywords: Visceral Leishmaniasis; Stability Analysis; ABC-Operator; Adams–Bashforth Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401351

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