Abstract
The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analysed in this chapter with the Atanagana-Baleanu (AB) fractional operator. The considered non-linear model has been efficiently applied to describe the evolution of childhood disease in a population and its influence on the community. The Adams-Bashforth scheme is applied to find and analyse the solution for the proposed model. The fixed-point hypothesis is considered in order to demonstrate the existence and uniqueness of the derived solution for the future fractional-order model. Two distinct explanatory cases are considered and for both cases, the simulations have been demonstrated in terms of plots. The present investigation illuminates that the AB derivative plays a vital role in the analysis and describes the behaviour of the diverse model arising in human disease.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.