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A Model for Hepatitis C with Saturated Chronic infection rate Gajendra Ujjainkar1 , V. K. Gupta2, B. Singh1, R. Khandelwal1 and Neetu Trivedi3

Dynamics of an SEI model with acute and chronic stages were studied with mass action incidence by Yuan and Yang [11]. They formulated and analyzed it especially for the case of Hepatitis C virus. A reinvestigation of this model is presented in this paper to study the stability with a general nonlinear incidence rate in chronic stage. Basic Reproduction number R0 has been obtained. When R0 < 1, the disease free equilibrium point is globally stable. In case R0 > 1, there exist endemic equilibrium, for which stability is also discussed.

Author(s): Gajendra Ujjainkar1 , V. K. Gupta, B. Singh1, R. Khandelwal and Neetu Trivedi

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