| Issue |
ITM Web Conf.
Volume 34, 2020
International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|
|
|---|---|---|
| Article Number | 02002 | |
| Number of page(s) | 8 | |
| Section | Applied Mathematics and Numerical Methods | |
| DOI | https://doi.org/10.1051/itmconf/20203402002 | |
| Published online | 03 December 2020 | |
A mathematical model of infectious disease transmission
1
Department of Applied Mathematics, University of Craiova, Romania
2
Department of Mathematics, Politehnica University of Timişoara, Romania
* e-mail: aurelia.florea@ucv.ro
** e-mail: cristian.lazureanu@upt.ro
In this paper we consider a three-dimensional nonlinear system which models the dynamics of a population during an epidemic disease. The considered model is a SIS-type system in which a recovered individual automatically becomes a susceptible one. We take into account the births and deaths, and we also consider that susceptible individuals are divided into two groups: non-vaccinated and vaccinated. In addition, we assume a medical scenario in which vaccinated people take a special measure to quarantine their newborns. We study the stability of the considered system. Numerical simulations point out the behavior of the considered population.
© The Authors, published by EDP Sciences, 2020
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