Explicit and implicit schemes for fractional–order Hantavirus model

Iranian Journal of Numerical Analysis and Optimization

مقاله 4، دوره 8، شماره 2 - شماره پیاپی 14، دی 2018، صفحه 75-94   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v8i2.49973

نویسندگان

Mevlüde Yakit Ongun^{* 1}؛ Damla Arslan²

¹Suleyman Demirel University, Isparta, Turkey.

²Suleyman Demirel University, Isparta, Turkey

چکیده

In this paper, the fractional–order form of a mouse population model is introduced. Some explicit and implicit schemes, which are Theta methods and nonstandard finite difference (NSFD) schemes, are implemented to give a numerical solution of nonlinear ordinary differential equation system named Hantavirus epidemic model. These methods are compared and discussed that the method preserves the positivity properties of the integer order system.
The numerical solutions are illustrated by means of some graphs. Numerical results of explicit and implicit methods denote that these methods are easy and accurate when applied to fractional–order Hantavirus model.

کلیدواژه‌ها

Explicit and implicit methods؛ Theta method؛ Nonstandard finite difference scheme؛ Fractional–order nonlinear differential equation systems؛ Mouse population model

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