Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:317

Article

Martin-Vaquero, J.¹  Martin del Rey, A.¹  Encinas, A. H.¹  Hernandez Guillen, J. D.¹  Queiruga-Dios, A.¹  Rodriguez Sanchez, G.¹ 

[1] Univ Salamanca, E-37008 Salamanca, Spain

关键词: Extrapolation techniques;    Malware propagation;    MSEIR model;    Nonstandard finite difference schemes;   

DOI  :  10.1016/j.cam.2016.11.044

来源: Elsevier

【 摘 要 】

In the present manuscript, higher-order methods are derived to solve a MSEIR model. They are obtained using extrapolation techniques combined with nonstandard finite difference (NSFD) schemes used in Anguelov et al. (2014). Thus, the new algorithms are more efficient computationally, and are dynamically consistent with the continuous model: they replicate the global asymptotic stability (GAS) of the disease free equilibrium (DFE), also the global stability of the endemic equilibrium (EE), and its conservation law. Numerical experiments are provided to illustrate the theory. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free