A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination
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. Studi...
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MDPI AG
2021-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/8/808 |
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doaj-96f348d4e7164b6896bd4bbde38dc1b82021-04-08T23:01:28ZengMDPI AGMathematics2227-73902021-04-01980880810.3390/math9080808A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or VaccinationJames P. Braselton0Martha L. Abell1Department of Mathematical Sciences, Georgia Southern University, P.O. Box 8093, Statesboro, GA 30458, USADepartment of Mathematical Sciences, Georgia Southern University, P.O. Box 8093, Statesboro, GA 30458, USAIn 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.https://www.mdpi.com/2227-7390/9/8/808SIRSISmeaslesimmunityherd immunitybasic reproductive ratio |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
James P. Braselton Martha L. Abell |
| spellingShingle |
James P. Braselton Martha L. Abell A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination Mathematics SIR SIS measles immunity herd immunity basic reproductive ratio |
| author_facet |
James P. Braselton Martha L. Abell |
| author_sort |
James P. Braselton |
| title |
A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination |
| title_short |
A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination |
| title_full |
A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination |
| title_fullStr |
A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination |
| title_full_unstemmed |
A Viral Disease That Damages the Immunity Conferred by Different Viral Diseases or Vaccination |
| title_sort |
viral disease that damages the immunity conferred by different viral diseases or vaccination |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2021-04-01 |
| description |
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. |
| topic |
SIR SIS measles immunity herd immunity basic reproductive ratio |
| url |
https://www.mdpi.com/2227-7390/9/8/808 |
| work_keys_str_mv |
AT jamespbraselton aviraldiseasethatdamagestheimmunityconferredbydifferentviraldiseasesorvaccination AT marthalabell aviraldiseasethatdamagestheimmunityconferredbydifferentviraldiseasesorvaccination AT jamespbraselton viraldiseasethatdamagestheimmunityconferredbydifferentviraldiseasesorvaccination AT marthalabell viraldiseasethatdamagestheimmunityconferredbydifferentviraldiseasesorvaccination |
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1721533475351166976 |