An SEIRS Epidemic Model with Immigration and Vertical Transmission

Main Article Content

Ruksana Shaikh
Pradeep Porwal
V. K. Gupta


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.

Mathematical modeling, immigration rate, vertical transmission, stability analysis, routh-hurwitz criteria.

Article Details

How to Cite
Shaikh, R., Porwal, P., & Gupta, V. K. (2020). An SEIRS Epidemic Model with Immigration and Vertical Transmission. Asian Research Journal of Mathematics, 16(11), 48-53.
Original Research Article


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