Abstract
Tick-borne diseases (TBDs) aect 80 of the world's cattle population,hampering livestock production throughout the world. In this article wewill consider the Babesiosis disease in bovine and tick populations model . We conduct the local and global stability analysis of the model .We present a dynamic behavior of this model using an ecient compu-tational algorithm, namely the multistage modied sinc method(MMSM).The MMSM is used here as an algorithm for approximating the solutions ofproposed system in a sequence of time intervals. In order to show the e-ciency of the method, the obtained numerical results are compared with thefourth-order Runge-Kutta method (RKM). It is shown that the MMSM hasthe advantage of giving an analytical form of the solution within each timeinterval which is not possible in purely numerical techniques like RKM.
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