Nonstandard theta Milstein method for solving stochastic multi-strain tuberculosis model | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 28, Issue 1, June 2020, Page 1-16 PDF (2.07 MB) | ||||
| DOI: 10.1186/s42787-020-00073-9 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| M. Nunokawa1; N.E. Cho2; S. Owa3; Nasser H. Sweilam; Seham M. AL-Mekhlafi4 | ||||
| 1University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan | ||||
| 2Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Pusan 608-737, Republic of Korea | ||||
| 3Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan | ||||
| 4Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt | ||||
| Abstract | ||||
| In this article, a novel stochastic multi-strain tuberculosis model is presented. Numerical simulations for this model are the main aim of this work. A non-standard theta Milstein method is constructed to study the proposed model, where the proposed method is based on choosing the weight factor theta. The main advantage of this method is it can be explicit or implicit with large stability regions using the idea of the weighed step introduced by R.E. Mickens. Mean-square stability of nonstandard theta Milstein method is studied. The new scheme shows a greater behavior compared to the theta Milstein method. It is concluded that the proposed scheme preserves the positivity of the solution and numerical stability in larger region than the standard method. | ||||
| Keywords | ||||
| A non-standard theta Milstein method; Multi-strain Tuberculosis; Mean square stability analysis | ||||
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