A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination

James P. Braselton and Martha L. Abell
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James P. Braselton: Department of Mathematical Sciences, Georgia Southern University, P.O. Box 8093, Statesboro, GA 30458, USA
Martha L. Abell: Department of Mathematical Sciences, Georgia Southern University, P.O. Box 8093, Statesboro, GA 30458, USA

Mathematics, 2021, vol. 9, issue 8, 1-18

Abstract: In this paper we modify a standard SIR model used to study the spread of some diseases by incorporating a disease that destroys the immunity that is conferred by having one of the other diseases or being vaccinated against the disease. A specific biological example of this occurs with measles. Studies of recent measles’ patients has shown that many patients have lost some (or all) of their immunity to other diseases from which they were previously protected. In the future, models like those developed here might be helpful in understanding how viruses that affect multiple organ systems can impact the effect the disease has on at risk populations.

Keywords: SIR; SIS; measles; immunity; herd immunity; basic reproductive ratio (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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