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Volume 5, Issue 4
On Some SEIRS Epidemic Models

Valery G. Romanovski

DOI: 10.12150/jnma.2023.753

J. Nonl. Mod. Anal., 5 (2023), pp. 753-762.

Published online: 2023-12

[An open-access article; the PDF is free to any online user.]

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  • Abstract

We discuss a few variations of the SEIRS epidemic model. How basic dynamical properties of the models can be derived by using some tools of the computer algebra system Mathematica is shown, and how invariant surfaces of the system can be found by using computer algebra system Singular is explained. Some numerical simulations are presented as well.

  • Keywords

Epidemiology, SEIRS model, stability of solution, invariant surface.

  • AMS Subject Headings

92D30, 34D20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-753, author = {Romanovski , Valery G.}, title = {On Some SEIRS Epidemic Models}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {4}, pages = {753--762}, abstract = {

We discuss a few variations of the SEIRS epidemic model. How basic dynamical properties of the models can be derived by using some tools of the computer algebra system Mathematica is shown, and how invariant surfaces of the system can be found by using computer algebra system Singular is explained. Some numerical simulations are presented as well.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.753}, url = {http://global-sci.org/intro/article_detail/jnma/22206.html} }
TY - JOUR T1 - On Some SEIRS Epidemic Models AU - Romanovski , Valery G. JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 753 EP - 762 PY - 2023 DA - 2023/12 SN - 5 DO - http://doi.org/10.12150/jnma.2023.753 UR - https://global-sci.org/intro/article_detail/jnma/22206.html KW - Epidemiology, SEIRS model, stability of solution, invariant surface. AB -

We discuss a few variations of the SEIRS epidemic model. How basic dynamical properties of the models can be derived by using some tools of the computer algebra system Mathematica is shown, and how invariant surfaces of the system can be found by using computer algebra system Singular is explained. Some numerical simulations are presented as well.

Valery G. Romanovski. (2023). On Some SEIRS Epidemic Models. Journal of Nonlinear Modeling and Analysis. 5 (4). 753-762. doi:10.12150/jnma.2023.753
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