A MATHEMATICAL MODEL FOR NIPAH VIRUS DISEASE BY USING PIECEWISE FRACTIONAL ORDER CAPUTO DERIVATIVE

Abstract

In the Caputo sense, the goal of this paper is to develop a thorough analysis for the Nipah virus sickness under piecewise equations with fractional order derivative. Here, we take into account a SIRD-type model with classes for susceptible, infected, recovered, and dead individuals. We evaluate the solution’s viability using the notion of fractional order derivative. The fundamental reproduction number is also calculated. Here, we offer sufficient requirements for the Ulam–Hyers (UH) stability and the existence theory of the solution. We also give some numerical simulations for several compartments using the RK4 approach. In order to deepen our investigation, we therefore investigate the aforementioned disease’s transmission process using some novel fractional calculus notions.