Impact of vaccination and treatment on SIRS model with Non-linear incidence rate
In this paper, an epidemic model consisting of susceptible, vaccination, infected and removal is formulated mathematically. The proposed model deals with incorporating the vaccination factor, treatment factor and non-linear incidence rate. Non negative for the model Solutions are proved, a simplex...
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| Format: | Article |
| Language: | English |
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Tikrit University
2023-06-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/1429 |
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| author | Arkan N. Mustafa Hanaa J. Ahmed |
| author_facet | Arkan N. Mustafa Hanaa J. Ahmed |
| author_sort | Arkan N. Mustafa |
| collection | DOAJ |
| description |
In this paper, an epidemic model consisting of susceptible, vaccination, infected and removal is formulated mathematically. The proposed model deals with incorporating the vaccination factor, treatment factor and non-linear incidence rate. Non negative for the model Solutions are proved, a simplex attractor invariant set is found, the basic reproduction number of the model is calculated using the method of the next-generation matrix, and the model equilibrium points performed a local stability analysis, we have collected the infected cases COVID-19 real data in Kurdistan region from Iraq to estimate the model parameters and sensitivity of the basic reproduction number and the model variable to the parameters of the model was studied
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| format | Article |
| id | doaj-art-4488d8171ddf4f58bd3bb5e64a869f3d |
| institution | DOAJ |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-4488d8171ddf4f58bd3bb5e64a869f3d2025-08-20T03:17:47ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-06-0128310.25130/tjps.v28i3.1429Impact of vaccination and treatment on SIRS model with Non-linear incidence rateArkan N. MustafaHanaa J. Ahmed In this paper, an epidemic model consisting of susceptible, vaccination, infected and removal is formulated mathematically. The proposed model deals with incorporating the vaccination factor, treatment factor and non-linear incidence rate. Non negative for the model Solutions are proved, a simplex attractor invariant set is found, the basic reproduction number of the model is calculated using the method of the next-generation matrix, and the model equilibrium points performed a local stability analysis, we have collected the infected cases COVID-19 real data in Kurdistan region from Iraq to estimate the model parameters and sensitivity of the basic reproduction number and the model variable to the parameters of the model was studied https://tjpsj.org/index.php/tjps/article/view/1429epidemic modelbasic reproduction numberstability analysissensitivity analysis |
| spellingShingle | Arkan N. Mustafa Hanaa J. Ahmed Impact of vaccination and treatment on SIRS model with Non-linear incidence rate Tikrit Journal of Pure Science epidemic model basic reproduction number stability analysis sensitivity analysis |
| title | Impact of vaccination and treatment on SIRS model with Non-linear incidence rate |
| title_full | Impact of vaccination and treatment on SIRS model with Non-linear incidence rate |
| title_fullStr | Impact of vaccination and treatment on SIRS model with Non-linear incidence rate |
| title_full_unstemmed | Impact of vaccination and treatment on SIRS model with Non-linear incidence rate |
| title_short | Impact of vaccination and treatment on SIRS model with Non-linear incidence rate |
| title_sort | impact of vaccination and treatment on sirs model with non linear incidence rate |
| topic | epidemic model basic reproduction number stability analysis sensitivity analysis |
| url | https://tjpsj.org/index.php/tjps/article/view/1429 |
| work_keys_str_mv | AT arkannmustafa impactofvaccinationandtreatmentonsirsmodelwithnonlinearincidencerate AT hanaajahmed impactofvaccinationandtreatmentonsirsmodelwithnonlinearincidencerate |