Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination

Yan, Maode; Xiang, Zhongyi

doi:10.1155/2014/262535

Cited by 2 publications

(2 citation statements)

References 20 publications

(22 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are several works where the study of positive periodic solutions is developed, for instance in [13,[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. In particular, recently in [13] was proved the existence of at one positive periodic solution of the following system modeling the dynamics of a computer virus…”

Section: Related Workmentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2020

View full text Add to dashboard Cite

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.

show abstract

Section: Related Workmentioning

confidence: 99%

“…Then, we can prove Equations ( 28)- (30), by straightforward application of Proposition 2 to Equations ( 27)b,d,e, respectively, since we have that…”

Section: Lemmamentioning

confidence: 99%