where S(t),/(t),R(t) and B(t) are compartments for each state variable and they represent the number of susceptible individuals at time t, the number of infected individuals at time t, the number of recovered individuals at time t and the population of bacteria in the aquatic environment at time t respectively. S(t) is the population of individuals who have not beer infected at time t but are capable of being infected, /(t) is the population of individuals whc have been infected at time t and are capable of spreading the infection to those in the susceptible category. A(t) is the population of individuals who have been infected with the disease at one time or the other and have been permanently recovered from it. The recovered individuals cannot be re-infected aagain.17. //.//1 .€.0 andy’ are narameterc Homotopy analysis method provides a direct scheme for obtaining the solution of nonlinear differential equations without perturbation, linearization or massive computation. In order to investigate the advantages and validity of HAM in solving nonlinear equations, we propose the following system of first order ordinary differential equations describing the transmission dynamics of cholera disease and use HAM to attempt its solutions. Table 1: Variables / Parameters and their assigned values -8.83929x 107 8t7+1.99989x 10-°t8-4.022x« 10711t?-7.27982x 107 13t1°
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