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Title of Journal: Bull Math Biol

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Abbravation: Bulletin of Mathematical Biology

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Springer US

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DOI

10.1002/uog.11223

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1522-9602

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Dynamics Analysis of a Multistrain Cholera Model

Authors: Mohammad A Safi Dessalegn Y Melesse Abba B Gumel
Publish Date: 2013/05/01
Volume: 75, Issue: 7, Pages: 1104-1137
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Abstract

A new twostrain model for assessing the impact of basic control measures treatment and dosestructured mass vaccination on cholera transmission dynamics in a population is designed The model has a globallyasymptotically stable diseasefree equilibrium whenever its associated reproduction number is less than unity The model has a unique and locallyasymptotically stable endemic equilibrium when the threshold quantity exceeds unity and another condition holds Numerical simulations of the model show that with the expected 50  minimum efficacy of the first vaccine dose vaccinating 55  of the susceptible population with the first vaccine dose will be sufficient to effectively control the spread of cholera in the community Such effective control can also be achieved if 50  of the first vaccine dose recipients take the second dose It is shown that a control strategy that emphasizes the use of antibiotic treatment is more effective than one that emphasizes the use of basic nonpharmaceutical anticholera control measures only Numerical simulations show that while the universal strategy involving all three control measures gives the best outcome in minimizing cholera burden in the community the combined basic anticholera control measures and treatment strategy also has very effective communitywide impactABG acknowledges with thanks the support in part of the Natural Science and Engineering Research Council NSERC of Canada DYM acknowledges the support from the Centre for Global Public Health at the University of Manitoba The authors are grateful to the anonymous reviewers for their constructive comments


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  2. Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation
  3. A Mathematical Model of the Human Metabolic System and Metabolic Flexibility
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  5. Game Dynamic Model for Yeast Development
  6. The Common Ancestor Process Revisited
  7. Identifying Environmental Determinants of Diurnal Distribution in Marine Birds and Mammals
  8. Diffusion of Finite-Size Particles in Confined Geometries
  9. A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating
  10. Model of Prey–Predator Dynamics with Reflexive Spatial Behaviour of Species Based on Optimal Migration
  11. On the Probability of Random Genetic Mutations for Various Types of Tumor Growth
  12. Game Dynamics with Learning and Evolution of Universal Grammar
  13. An Evolutionary Reduction Principle for Mutation Rates at Multiple Loci
  14. Piecewise Linear and Boolean Models of Chemical Reaction Networks
  15. Phenologically-Structured Predator-Prey Dynamics with Temperature Dependence
  16. The Impact of Hepatitis A Virus Infection on Hepatitis C Virus Infection: A Competitive Exclusion Hypothesis
  17. Neural Population Modes Capture Biologically Realistic Large Scale Network Dynamics
  18. The Tumor Growth Paradox and Immune System-Mediated Selection for Cancer Stem Cells
  19. Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems
  20. The Dynamics of Growing Islets and Transmission of Schistosomiasis Japonica in the Yangtze River
  21. Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic
  22. Modeling Effect of a γ -Secretase Inhibitor on Amyloid- β Dynamics Reveals Significant Role of an Amyloid Clearance Mechanism
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  24. Chemical Organisation Theory
  25. Global Properties of SIR and SEIR Epidemic Models with Multiple Parallel Infectious Stages

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