| Autor: |
Chatzarakis G. E., Dickson S., Padmasekaran S. |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Nonautonomous Dynamical Systems, Vol 9, Iss 1, Pp 56-67 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2353-0626 |
| DOI: |
10.1515/msds-2022-0145 |
| Popis: |
The Susceptible-Isolated-Infected-Recovered-Vaccinated (SIqIRV) deterministic model is examined in this paper. This model considers a nonlinear force of quarantine, infection and care, where vaccinated individuals lose their immunity after a period of time and become susceptible to infection. Isolation is the main key to bringforth the SIqIRV model. The fundamentals of reproduction number calculated using this model is an outbreak threshold that decides whether or not a disease can spread. The infection free steady state solutions are locally and globally found to be asymptotically stable when R0 < 1. Infection persistent steady state solutions are also found to be locally asymptotically stable when R0 > 1. At the end, computational simulations were run to confirm and support our theoretical findings. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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