Stochastic mathematical model of Chikungunya spread with the global derivative

Abstract

In this paper, we have considered a mathematical model able to describe a dynamic spread of Chikungunya virus within a given population. We considered different differential operators ranging from classical to nonlocal operators. For each case, we introduced a stochastics component and present the existence and uniqueness of solutions using the linear growth and Lipschitz conditions. Each case was solved numerical using the latest numerical scheme with the Newton polynomial interpolations. Some numerical simulations are presented.