An SEIRS Epidemic Model with Immigration and Vertical Transmission
Ruksana Shaikh, Pradeep Porwal, V. K. Gupta
Asian Research Journal of Mathematics · pp. 48–53 · Published 19 Dec 2020
10.9734/arjom/2020/v16i1130241Abstract
The study indicates that we should improve the model by introducing the immigration rate in the model to control the spread of disease. An SEIRS epidemic model with Immigration and Vertical Transmission and analyzed the steady state and stability of the equilibrium points. The model equations were solved analytically. The stability of the both equilibrium are proved by Routh-Hurwitz criteria. We see that if the basic reproductive number R0<1 then the disease free equilibrium is locally asymptotically stable and if R0<1 the endemic equilibrium will be locally asymptotically stable.
Cited by 2
Balajied Me Syrti, Anuradha Devi, Ankur Jyoti Kashyap · Communication in Biomathematical Sciences · 2023
Mary Ng’endo Githinji, Isaac Chepkwony · Asian Journal of Probability and Statistics · 2024
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