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Global analysis of the Babesiosis disease in bovine and tick populations model and numerical simulation with multistage modi ed sinc method | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 اردیبهشت 1395 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3676 | ||
| نویسنده | ||
| hossein pourbashash* | ||
| Garmsar semnan, Iran | ||
| چکیده | ||
| Tick-borne diseases (TBDs) a ect 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 ecient computational algo- rithm, namely the multistage modi ed sinc method(MMSM). The MMSM is used here as an algorithm 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 compared with 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 not possible in purely numerical techniques like RKM. | ||
| کلیدواژهها | ||
| The Babesiosis disease in bovine and tick populations model؛ local stability؛ global stability؛ second compound matrices؛ Sinc method | ||
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آمار تعداد مشاهده مقاله: 810 |
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