Computational Modelling of Cholera Bacteriophage with Treatment
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Research
Abstract
This paper examines the computational modelling of cholera bacteriophage with treatment. A
nonlinear mathematical model for cholera bacteriophage and treatment is formulated and analysed.
The effective reproduction number of the nonlinear model system is calculated by next
generation operator method. By using the next generation matrix approach, the disease-free equilibrium
is found to be locally stable at threshold parameter less than unity and unstable at threshold
parameter greater than unity. Globally, the disease free equilibrium point is not stable due to
existence of forward bifurcation at threshold parameter equal to unity. Stability analysis and numerical
simulations suggest that the combination of bacteriophage and treatment may contribute
to lessening the severity of cholera epidemics by reducing the number of Vibrio cholerae in the environment.
Hence with the presence of bacteriophage virus and treatment, cholera is self-limiting
in nature.
Description
Keywords
Cholera, Bacteriophage, Treatment, Vibrio cholerae, Equilibrium, Stability, Effective Reproduction Number
Citation
Mgonja, D.S., Massawe, E.S. and Makinde, O.D., 2015. Computational Modelling of Cholera Bacteriophage with Treatment. Open Journal of Epidemiology, 5(03), p.172.