Study of a Fractional-Order Epidemic Model of Childhood Diseases-Reference-Cited by-同舟云学术

Study of a Fractional-Order Epidemic Model of Childhood Diseases

Published:2020-07-16 Issue: Volume:2020 Page:1-8
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ullah Aman¹^ORCID,Abdeljawad Thabet²³⁴^ORCID,Ahmad Shabir¹,Shah Kamal¹^ORCID

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

3. Department of Medical Research, China Medical University, 40402 Taichung, Taiwan

4. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

Abstract

In this article, we discuss the existence and uniqueness of the solution of the fractional-order epidemic model of childhood diseases by using fixed point theory. The technique of natural transform coupled with the Adomian decomposition is used to find the solution of the proposed model. At the end of the article, the model is demonstrated with appropriate numerical and graphical description.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/5895310.pdf

Reference34 articles.

1. Solutions of Fractional Order Model of Childhood diseases with Constant Vaccination Strategy

2. An epidemic model of childhood disease dynamics with maturation delay and latent period of infection

3. 8. Limit Cycles, Oscillations, and Excitable Systems