Modelling the effect of vaccination policy on epidemics with time delay

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dc.contributor.authorBanerjee, Sumit Kumar
dc.date.accessioned2024-07-12T20:51:14Z
dc.date.available2024-07-12T20:51:14Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe 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.en_US
dc.identifier.citationBanerjee, S. K. (2009). Modelling the effect of vaccination policy on epidemics with time delay. Maltepe Üniversitesi. s. 366.en_US
dc.identifier.endpage367en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage366en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2382
dc.institutionauthorBanerjee, Sumit Kumar
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07747
dc.subjectIncubation perioden_US
dc.subjectImmunityen_US
dc.subjectMaturation delayen_US
dc.subjectGlobal stabilityen_US
dc.titleModelling the effect of vaccination policy on epidemics with time delayen_US
dc.typeConference Object
dspace.entity.typePublication

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