Abstract
Abstract This article proposes and analyzes a fractional-order susceptible, infectious, susceptible (SIS) epidemic model with saturated treatment and disease transmission by employing four recent analytical techniques along with a novel fractional operator. This model is computationally handled by extended simplest equation method, sech–tanh expansion method, modified Khater method, and modified Kudryashov method. The results’ stable characterization is investigated through the Hamiltonian system’s properties. The analytical solutions are demonstrated through several numerical simulations.
Highlights
Epidemiology is recently considered one of the most interesting factors that have attracted the whole world’s attention because it evaluates the diseases in populations and causes health outcomes [1,2]
Epidemiological science depends on biostatistics and informatics, with biological, behavioral sciences, social, and economics that make the standard definition of this branch of science the basic science of public heal [11,12]
Developing and testing new hypotheses grounded in such scientific fields as physics, behavioral sciences, biology, and ergonomics to explain health-related behaviors, states, and events [14]
Summary
Epidemiology is recently considered one of the most interesting factors that have attracted the whole world’s attention because it evaluates the diseases in populations and causes health outcomes [1,2]. System (1) is given by William Ogilvy Kermack and Anderson Gray McKendrick [21,22] This system is considered as a special case of Kermack–McKendrick theory, which is interested in prediction of the total number infected, the duration of an epidemic, and the disease spreads to estimate various epidemiological parameters such as the reproductive number [23,24]. This article focuses on studying the analytical solutions of the fractional SIS model, which is given by Kermack and McKendrick in 1927 in the following form:. The rest of the article is organized as follows: Section 2 investigates the computational solutions of the fractional nonlinear SIS model by handling the converted ordinary differential system through four analytical schemes [30,31,32,33,34,35,36,37,38,39,40,41,42,43]. Balancing the terms of the previous system with the auxiliary equations of the suggested analytical schemes leads to format the model’s general solutions in the following form:
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
