Modelling the effect of vaccination policy on epidemics with time delay
AuthorBanerjee, Sumit Kumar
MetadataShow full item record
CitationBanerjee, S. K. (2009). Modelling the effect of vaccination policy on epidemics with time delay. Maltepe Üniversitesi. s. 366.
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.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
The following license files are associated with this item: