Analysis of an Epidemic Spreading Model with Exponential Decay Law

Authors : Mehmet Yavuz, Necati Özdemir

Pages : 142-154

Doi:10.36753/mathenot.691638

View : 16 | Download : 10

Publication Date : 2020-03-20

Article Type : Research

Abstract :Mathematical modeling of infectious diseases has shown that combinations of isolation, quarantine, vaccine, and treatment are often necessary in order to eliminate most infectious diseases. Continuous mathematical models have been used to study the dynamics of infectious diseases within a human host and in the population. We have used in this study a SIR model that categorizes individuals in a population as susceptible (S), infected (I) and recovered (R). It also simulates the transmission dynamics of diseases where individuals acquire permanent immunity. We have considered the SIR model using the Caputo-Fabrizio and we have obtained special solutions and numerical simulations using an iterative scheme with Laplace transform. Moreover, we have studied the uniqueness and existence of the solutions
Keywords : epidemic model, exponential law, numerical simulation, fractional derivative, non-singularity