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Modelling the effect of vaccination policy on epidemics with time delay
(Maltepe Üniversitesi, 2009) Banerjee, Sumit Kumar
The spread of communicable diseases depends on rate of transmission or contact rate , removal rate , mode of transmission , latent and incubation period , age - specific susceptibility and immunity of individuals to the disease . The immunity to the specific disease in the individuals can be artificially developed with the help of vaccination . It is understood that the vaccination leads to complete protection and vaccinated individuals are immune but this is not true and in general vaccination only leads to partial protection . The role of latent period in the dynamics of communicable diseases is also an important factor and should be considered in the epidemic models . Further , while studying age-structured epidemic models, maturation period should also be considered in the model, because in the case of several infectious diseases the populations of certain Age - groups are immune from diseases for some finite period and after that they become susceptible. In view of the above , therefore , in this paper a delay epidemic model has been studied to investigate the effect of age - based vaccination policy on the dynamics of a communicable disease incorporating latent period and maturation delay . For the model , the disease- free and endemic equilibrium points have been obtained and their local and global stability analysis have been carried out.