• AN SIRS MODEL WITH EMIGRATION RATE AND SIMPLE MASS ACTION INCIDENCE

Shivram Sharma*, V. H. Badshah, Vandana Gupta

Abstract


In this paper, an SIRS model with emigration rate and simple mass action incidence is formulated and studied. Equilibrium and threshold are determined for the system of ordinary differential equations and discussed. For both, disease free and endemic equilibrium point, stability conditions are determined to see whether the disease dies out or approaches an endemic equilibrium state. An example is also furnished which demonstrates validity of main result.


Keywords


Epidemiological model, Threshold, Hurwitz Criterion, Equilibrium point, Stability.

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