Dynamics of Influenza A(H1N1) Epidemic Model with Vaccination under the influence of Recruitment Rate

摘要

The spread of H1N1 (Influenza A) is studied by proposing a mathematical model including the vaccination's role with recruitment rate of infective. It is considered that the vaccine's efficiency is not at par and only susceptible are vaccinated. We have found that the arrangement is uniformly bounded. We have obtained the existent of disease free and endemic equilibrium point when the recruitment of diseased individual in the population is zero, and also proved that there exists endemic equilibrium point for the case when recruitment of diseased individuals is considered. We have studied stability of equilibrium points on the basis of reproduction number. Model's persistency is also examined. Further, quantitative numeric are studied to support theoretical results.