Abstract
Tick-borne diseases affect 80 of the world’s cattle population, hampering livestock production throughout the world. In this article, we will 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 efficient computational algorithm, namely the multistage modified sinc method (MMSM). The MMSM is used here as an algorithm for approximating the solutions of proposed system in a sequence of time intervals. To show the efficiency of the method, the obtained numerical results are compared with the fourth-order Runge–Kutta method (RKM). It is shown that the MMSM has the advantage of giving an analytical form of the solution within each time interval which is not possible in purely numerical techniques like RKM.
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We thank professor Frank Stenger for his valuable discussions and directions.
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Pourbashash, H. Global Analysis of the Babesiosis Disease in Bovine and Tick Populations Model and Numerical Simulation with Multistage Modified Sinc Method. Iran J Sci Technol Trans Sci 42, 39–46 (2018). https://doi.org/10.1007/s40995-018-0510-3
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DOI: https://doi.org/10.1007/s40995-018-0510-3