I have modelled an SVIR model and I intend to assume that at some point in the future, all the subjects will come back for a booster vaccine. How can I incorporate such a consideration into my model and check for its impact?
The easiest would be to assume the effect of the booster is the same as for the original vaccination though of a lesser magnitude. Each subsequent vaccination would have a smaller effect though the exact magnitude would depend on the time lapsed since the last one. Do note though that long-term immunity seems to plateau . . . i.e. at a certain point more boosters do NOT increase the immunity but only result in a short term increase which fall back to the 'set point'.
The group I work in has done some cohort studies to elucidate this effect that can be found in Amanna Hum Immunol 2012, Hammarlund J Virol 2010, Amanna NEJM 2007, Ammana Immunol Rev 2006, Hammarlund Nat Med 2003. Which may be helpful in 'testing' your model.
Consider:
Hellen Namawejje ; Livingstone S. Luboobi, Dmitry Kuznetsov, Eric Wobudeya
Mathematical Model For The Effects Of Treatment And Vaccination Controls On The Dynamics Of Rotavirus Disease With Reference To Uganda
Available Online At Http://Scik.Org
J. Math. Comput. Sci. 4 (2014), No. 5, 958-991, Issn: 1927-5307
https://www.researchgate.net/publication/230637298_Modelling_pertussis_transmission_to_evaluate_the_effectiveness_of_an_adolescent_booster_in_Argentina
Article Modelling pertussis transmission to evaluate the effectivene...
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