Multi-step Adomian decomposition method for solving a delayed Chikungunya virus system
Year: 2024
Type: article
Abstract: This paper is an extension of work [M. Chamekh, M. A. Latrach, F. Jday, J. Umm Al-Qura Univ. Appll. Sci., \(\bf 9\) (2023), 123--131] in which we proposed a multi-step semi-analytical solution for a chikungunya virus system without delay. Accordingly, this work targets the same problem but with delay. We first used the Lyapunov function method to present the theoretical stability analysis of the Chikungunya virus model with latency and with delay. Afterwards, we discussed the use of the Adomian decomposition method with a technique of multi-step to obtain a solution to a delayed Chikungunya problem in particular, and we aimed in general at some problems of dynamical systems with delay. To validate the accuracy and efficiency of this method, the numerical results were discussed by comparing them to the Runge-Kutta method.
Authors: M. Chamekh, M. A. Latrach, Y. Abed
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: diamond
OpenAlex ID: W4403855829