Incorporating heterogeneity into the transmission dynamics of a waterborne disease model.
We formulate a mathematical model that captures the essential dynamics of waterborne disease transmission to study the effects of heterogeneity on the spread of the disease. The effects of heterogeneity on some important mathematical features of the model such as the basic reproduction number, type reproduction number and final outbreak size are analysed accordingly. We conduct a real-world application of this model by using it to investigate the heterogeneity in transmission in the recent cholera outbreak in Haiti. By evaluating the measure of heterogeneity between the administrative departments in Haiti, we discover a significant difference in the dynamics of the cholera outbreak between the departments.
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa. Electronic address: obioracollins1@gmail.com.
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Collins
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa. Electronic address: govinder@ukzn.ac.za.
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Govinder
D002771:Cholera / Q000453:epidemiology / Q000635:transmission; D003141:Communicable Diseases / Q000453:epidemiology*; D004196:Disease Outbreaks; D018562:Disease Transmission, Infectious; D006801:Humans; D008954:Models, Biological; D014867:Water; D014871:Water Microbiology
D014867:Water
Basic reproduction number; Cholera; Disease dynamics