Numerical dynamics of nonstandard finite difference schemes for a computer virus propagation model

被引：0
作者：
Dang Q.A. [1 ]
Hoang M.T. [2 ]
机构：
[1] Centre for Informatics and Computing, Vietnam Academy of Science and Technology (VAST), 18 Hoang Quoc Viet, Cau Giay, Hanoi
[2] Institute of Information Technology, Vietnam Academy of Science and Technology (VAST), 18 Hoang Quoc Viet, Cau Giay, Hanoi
来源：
International Journal of Dynamics and Control | 2020年 / 8卷 / 03期
关键词：
Computer virus model; Dynamic consistency; Global stability; Lyapunov function; Nonstandard finite difference schemes;
D O I：
10.1007/s40435-019-00604-y
中图分类号：
学科分类号：
摘要：
In this paper, we construct and analyze nonstandard finite difference (NSFD) schemes for a computer virus propagation model. We prove theoretically that the proposed NSFD schemes preserve essential qualitative properties of the continuous model. These properties are positivity and boundedness of solutions, equilibria and their stability properties. The performed numerical simulations support the theoretical results. The numerical experiments also show that standard finite difference schemes fail to preserve the essential properties of the continuous model for large step sizes. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
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页码：772 / 778
页数：6
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