Browsing by Author "Abdulai, Taofeek"

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    Using Atanackovic and Stankovic Numerical Method to Investigate Fractional Order Cholera Model
    (October, 2015) Abdulai, Taofeek
    In this work, we investigate the dynamical behavior of a fractional order cholera model. Here, we developed interest in the use of the deterministic model proposed by Codeco in 2001. The fractional order cholera model is converted to a system of ordinary differential equations of integer order by using Atanackovic and Stankovic numerical method and is then solved numerically by using the fourth order well-known Runge-Kutta method. All the feasible equilibria for the system are obtained and the conditions for the existence of interior equilibrium are determined. Local stability analysis of the cholera model is studied by using the fractional Routh-Hurwitz stability conditions. The findings reveal that, the disease dies out at the disease free equilibrium state but will persist at the endemic state and that the concentration of toxigenic vibrio cholerae in water largely depends on (i) the rate of exposure to contaminated water (parameter a) and (ii) the contribution of each effected person to the aquatic environment (parameter ).