Abstract
Influenza Virus is an infectious disease caused by the Orthomyxoviridae virus. This paper discussed mathematical modeling that explains the model of the influenza virus transmission with SEIR model, where S is susceptible, E is exposed, I is infected, and R is recovered. Basic reproduction numbers (R0) are used to analyze the stability of the model. When R0 less than 1 the virus free equilibrium is stable asymptotically local, while when R0 greater than 1 the endemic equilibrium is stable asymptotically local. From the numerical simulation results based on data from Pekalongan, Indonesia, it’s found that reproduction number is equal to 0,03492209390.This indicates that the virus free equilibrium is locally asymptotically stable and the endemic equilibrium is not locally asymptotically stable, so that there is no virus transmission in Pekalongan.
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