Mathematical analysis of a cholera model with public health interventions

Mwasa, Abubakar; Tchuenche, Jean M.

doi:10.1016/j.biosystems.2011.04.001

Cited by 97 publications

(55 citation statements)

References 26 publications

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“…Another model simulated combined ORT with antibiotic treatment by decreasing cholera-related death rate and increasing recovery rate [24]. Alternatively, patients under treatment can be represented by a distinct compartment [25]. In this case, there will be a rate at which infected patients receives treatment and the recovery rate of the treated patients respectively.…”

Section: Treatmentmentioning

confidence: 99%

“…Another example was a model that incorporated a separate compartment for people who received health education and therefore may be infected at a rate different from those who did not. It will be beneficial if empirical data can be provided to parameterize the rates of health education, of failure to comply with instructions of health education, and of infection rates of health-educated individuals (all three parameters were “assumed”) [25]. Likewise, for the compartment for quarantine of health-educated individuals who were exposed to cholera, their rate of quarantine after exposure and their rate of actually being infected, it will be beneficial if empirical data can be provided to parameterize them [25].…”

Section: Water Sanitation and Hygiene Interventionsmentioning

confidence: 99%

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Cholera transmission dynamic models for public health practitioners

Fung

2014

Emerg Themes Epidemiol

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Great progress has been made in mathematical models of cholera transmission dynamics in recent years. However, little impact, if any, has been made by models upon public health decision-making and day-to-day routine of epidemiologists. This paper provides a brief introduction to the basics of ordinary differential equation models of cholera transmission dynamics. We discuss a basic model adapted from Codeço (2001), and how it can be modified to incorporate different hypotheses, including the importance of asymptomatic or inapparent infections, and hyperinfectious V. cholerae and human-to-human transmission. We highlight three important challenges of cholera models: (1) model misspecification and parameter uncertainty, (2) modeling the impact of water, sanitation and hygiene interventions and (3) model structure. We use published models, especially those related to the 2010 Haitian outbreak as examples. We emphasize that the choice of models should be dictated by the research questions in mind. More collaboration is needed between policy-makers, epidemiologists and modelers in public health.

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Section: Treatmentmentioning

confidence: 99%

Section: Water Sanitation and Hygiene Interventionsmentioning

confidence: 99%

Cholera transmission dynamic models for public health practitioners

Fung

2014

Emerg Themes Epidemiol

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“…Mukandavire et al (2009) proposed and examined a deterministic model for the co-infection of HIV and malaria in a community. Mwasa and Tchuenche (2011) examined a mathematical model that captures the dynamics of Cholera transmission to study the impact of public health educational campaigns, vaccination and treatment in controlling the disease.…”

Section: Introductionmentioning

confidence: 99%

Optimal control strategies and cost-effectiveness analysis of a malaria model

2013

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“…In 2011, 58 nations reported 589,854 cholera cases and 7728 deaths [5,6]. Due to poor surveillance and under-reporting, the above statistics are likely to be much lower than the actual cases and deaths globally [7].…”

Section: Introductionmentioning

confidence: 98%