A NSFD scheme for Lotka–Volterra food web model | ||
| Iranian Journal of Science | ||
| مقاله 2، دوره 38، شماره 4، اسفند 2014، صفحه 399-414 اصل مقاله (1.46 M) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2556 | ||
| نویسندگان | ||
| S. Zibaei1؛ M. Namjoo* 2 | ||
| 1Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran | ||
| 2Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan , Rafsanjan, Iran | ||
| چکیده | ||
| A nonstandard finite difference (NSFD) scheme has been constructed and analyzed for a mathematical model that describes Lotka–Volterra food web model. This new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. Linearized stability theory and Schur–Cohn criteria are used for local asymptoticstability of this discrete time model. Numerical results are given to support the results. | ||
| کلیدواژهها | ||
| Lotka–Volterra؛ nonstandard finite difference scheme؛ Stability | ||
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آمار تعداد مشاهده مقاله: 1,736 تعداد دریافت فایل اصل مقاله: 1,939 |
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