| Issue |
ITM Web Conf.
Volume 49, 2022
International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|
|
|---|---|---|
| Article Number | 01002 | |
| Number of page(s) | 6 | |
| Section | Applied Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20224901002 | |
| Published online | 16 November 2022 | |
The behaviour of an epidemiological model
Department of Applied Mathematics, University of Craiova Al. I. Cuza, 13, Craiova, 200585, Romania
* e-mail: lilianabucur@yahoo.com
In this work we study the next system:
![$$\[\left\{ {\begin{array}{*{20}{l}}{S'}& = &{A - \beta \left( {1 + vI} \right)SI}\\{E'}& = &{\beta \left( {1 + vI} \right)SI - \alpha E}\\{I'}& = &{\alpha E - \gamma I}\\{R'}& = &{\gamma I}\end{array}} \right.\]$$](/articles/itmconf/abs/2022/09/itmconf_icamnm2022_01002/itmconf_icamnm2022_01002-eq1.gif)
which is a SEIR model, where first of all the probability of disease transmission depend linear of the number of infectious.
We also consider and study the behaviour of the system if the probability of disease transmission depend of two degree polinom of the number of infectious.
© The Authors, published by EDP Sciences, 2022
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