Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment

Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment

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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); Pentair IntelliCenter Parts 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 Elastic Watch Strap solutions and the application of coincidence degree theory.Moreover, we present an example of a generalized system satisfying the sufficient condition.