Importance of nested models in modeling infectious diseases

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dc.contributor.authorMbabazi, Fulgensia
dc.contributor.authorKimathi, Mark
dc.date.accessioned2021-05-10T06:41:08Z
dc.date.available2021-05-10T06:41:08Z
dc.date.issued2017
dc.descriptionPaper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.en_US
dc.description.abstractMathematical models are believed to achieve good results in prediction of disease prevalence’s. The progression of an infection within a host determines the capacity of a pathogen to spread to new hosts and to sustain itself in the population. Whereas a wide link between the infection dynamics within–host and between hosts, transmission dynamics of pathogens is broadly recognized, an inclusive and quantitative understanding that would allow complete integration of the two scales is yet to be realized. This paper aims at explaining the importance of nested models and giving an example of the within–host and between–dynamics of bacterial pneumonia (pneumococcal). To that end, deterministic differential and integro–differential equations are used to investigate the interaction between the target cell and streptococcus pneumoniae. Analysis on this model, with a focus of streptococcus fitness /threshold dynamics is done. Mathematics Subject Classification (2010).en_US
dc.identifier.urihttp://hdl.handle.net/11071/10489
dc.language.isoenen_US
dc.publisherStrathmore Universityen_US
dc.subjectMathematical modelsen_US
dc.subjectInfectious diseasesen_US
dc.subjectNested modelen_US
dc.titleImportance of nested models in modeling infectious diseasesen_US
dc.typeArticleen_US
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