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Computational Modelling of Cholera Bacteriophage with Treatment

This paper examines the computational modelling of cholera bacteriophage with treatment. A nonlinear mathematical model for cholera bacteriophage and treatment is formulated and ana- lysed. 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 equi- librium is found to be locally stable at threshold parameter less than unity and unstable at thresh- old 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 nu- merical 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 en- vironment. Hence with the presence of bacteriophage virus and treatment, cholera is self-limiting in nature.