DYNAMICS OF VISCERAL LEISHMANIA EPIDEMIC MODEL WITH NON-SINGULAR KERNEL-Reference-Cited by-同舟云学术

DYNAMICS OF VISCERAL LEISHMANIA EPIDEMIC MODEL WITH NON-SINGULAR KERNEL

Published:2022-06-30 Issue:05 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ZHAO YI¹,KHAN AMIR²,HUMPHRIES USA WANNASINGHA²,ZARIN RAHAT³,KHAN MAJID⁴,YUSUF ABDULLAHI⁵⁶

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, P. R. China

2. Department of Mathematics, Faculty of Science, King Mongkuts, University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

3. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pakhtunkhwa, Pakistan

4. Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan

5. Department of Computer Engineering, Biruni University, Istanbul, Turkey

6. Department of Mathematics, Near East University, TRNC, Mersin 10, Turkey

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.

Funder

the National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22401351

Reference45 articles.

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2. The leishmaniases as emerging and reemerging zoonoses

3. Stability analysis and optimal control of covid-19 with convex incidence rate in Khyber Pakhtunkhawa (Pakistan)

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