• Deepti Mokati
• Viqar Hussain Badshah
• Nirmala Gupta

The present paper deals with a Susceptible-Infected-Susceptible typhoid epidemic model with the effect of vaccination. Our goal to present that how the ratio of population affected in each class when infected population goes to back to susceptiblilty even some humans are vaccinated and recovered also. Equilibrium points(disease-free and endemic) of the model and basic reproduction number are obtained . Locally and globally asymptotic behavior for both equilibrium points are also discussed . Further ,cases studied by numerical calculations and graphically for the model .

Typhoid, vaccination ,basic reproduction number ,stability ,equilibrium .

"Mathematical Modeling and Stability Analysis for a SIS Typhoid Transmission Dynamics", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 3, page no.1125-1134, March-2019, Available :http://www.jetir.org/papers/JETIR1903K62.pdf

"Mathematical Modeling and Stability Analysis for a SIS Typhoid Transmission Dynamics", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 3, page no. pp1125-1134, March-2019, Available at : http://www.jetir.org/papers/JETIR1903K62.pdf