### Modified Sirs Epidemic Model with Immigration and Saturated Incidence

#### Abstract

**The present mathematical model deals with the study of SIRS epidemic model with immigration and saturation type incidence. We start from formulation of model and analyze it. The disease free equilibrium and endemic equilibrium of the system are established. If the DFE (Disease Free Equilibrium) is globally stable and if then the endemic equilibrium is obtained which is globally stable. An example also provides to justify the stability.**

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**MAYFEB Journal of Mathematics**

**Toronto, Ontario, Canada**

**MAYFEB TECHNOLOGY DEVELOPMENT**

**ISSN**

**2371-6193**