1. Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment.
- Author
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Coronel, Aníbal, Huancas, Fernando, Hess, Ian, Lozada, Esperanza, and Novoa-Muñoz, Francisco
- Subjects
COMPUTER simulation ,MATHEMATICAL models ,MATHEMATICAL analysis ,COINCIDENCE theory ,COMPUTER viruses ,CONTINUOUS time models ,ORTHOGONAL matching pursuit - Abstract
In this work we develop a study of positive periodic solutions for a mathematical model of the dynamics of computer virus propagation. We propose a generalized compartment model of SEIR-KS type, since we consider that the population is partitioned in five classes: susceptible (S); exposed (E); infected (I); recovered (R); and kill signals (K), and assume that the rates of virus propagation are time dependent functions. Then, we introduce a sufficient condition for the existence of positive periodic solutions of the generalized SEIR-KS model. The proof of the main results are based on a priori estimates of the SEIR-KS system solutions and the application of coincidence degree theory. Moreover, we present an example of a generalized system satisfying the sufficient condition. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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