The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay | Zendy

Hui Cao | Zendy; Si Wang | Zendy; Dongxue Yan | Zendy; Hongwu Tan | Zendy; Hemiao Xu | Zendy

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The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay

Author(s) -

Hui Cao,

Si Wang,

Dongxue Yan,

Hongwu Tan,

Hemiao Xu

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/5538438

Subject(s) - hopf bifurcation , stability (learning theory) , basic reproduction number , age structure , mathematics , bifurcation , computer science , instability , reproduction , statistical physics , biology , physics , demography , nonlinear system , mechanics , population , ecology , machine learning , quantum mechanics , sociology

This paper deals with the dynamical behaviors for a computer viruses model with age structure, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and instability of equilibria for the model are established. These findings show that the age structure and delay can produce Hopf bifurcation for the computer viruses model. The numerical examples are executed to validate the theoretical results.

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