Mwasa2011 - Cholera model with public health interventions

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Model Identifier
MODEL1812040007
Short description
Mathematical analysis of a cholera model with public health interventions
Format
SBML (L2V4)
Related Publication
  • Mathematical analysis of a cholera model with public health interventions.
  • Mwasa A, Tchuenche JM
  • Bio Systems , 9/ 2011 , Volume 105 , Issue 3 , pages: 190-200 Preprint
  • Department of Mathematics, Islamic University in Uganda, Mbale, Uganda. a.mwasa@yahoo.com
  • Cholera, an acute gastro-intestinal infection and a waterborne disease continues to emerge in developing countries and remains an important global health challenge. We formulate a mathematical model that captures some essential dynamics of cholera transmission to study the impact of public health educational campaigns, vaccination and treatment as control strategies in curtailing the disease. The education-induced, vaccination-induced and treatment-induced reproductive numbers R(E), R(V), R(T) respectively and the combined reproductive number R(C) are compared with the basic reproduction number R(0) to assess the possible community benefits of these control measures. A Lyapunov functional approach is also used to analyse the stability of the equilibrium points. We perform sensitivity analysis on the key parameters that drive the disease dynamics in order to determine their relative importance to disease transmission and prevalence. Graphical representations are provided to qualitatively support the analytical results.
Contributors
Submitter of the first revision: Sarubini Kananathan
Submitter of this revision: Krishna Kumar Tiwari
Modellers: Sarubini Kananathan, Krishna Kumar Tiwari

Metadata information

hasProperty (1 statement)
Mathematical Modelling Ontology Ordinary differential equation model


Curation status
Non-curated


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Model files

Model.xml SBML file for the model. 20.04 KB Preview | Download

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V1 - Cholera Model.cps Copasi file for the model 49.86 KB Preview | Download

  • Model originally submitted by : Sarubini Kananathan
  • Submitted: Dec 4, 2018 4:34:19 PM
  • Last Modified: Jul 13, 2020 2:08:10 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Jul 13, 2020 2:08:10 PM
    • Submitted by: Krishna Kumar Tiwari
    • With comment: Edited model metadata online.
  • Version: 2 public model Download this version
    • Submitted on: Dec 4, 2018 4:34:19 PM
    • Submitted by: Sarubini Kananathan
    • With comment: Edited model metadata online.

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