Global analysis of the Babesiosis disease in bovine and tick populations model and numerical simulation with multistage modied sinc method

Abstract

Tick-borne diseases (TBDs) a ect 80 of the world's cattle population, hampering livestockproduction throughout the world. In this article we will consider the Babesiosis disease inbovine and tick populations model. We conduct the local and global stability analysis of themodel. We present a dynamic behavior of this model using an ecient computational algo-rithm, namely the multistage modi ed sinc method(MMSM). The MMSM is used here as analgorithm for approximating the solutions of proposed system in a sequence of time intervals.In order to show the eciency of the method, the obtained numerical results are comparedwith the fourth-order Runge-Kutta method (RKM). It is shown that the MMSM has the ad-vantage of giving an analytical form of the solution within each time interval which is notpossible in purely numerical techniques like RKM.