The transmission dynamics of a disease in a population is represented by the equation ما بين ,al - ( - 1) - معمل انتقال العرض عمل الأنتقال -Cal dt BI K - اسگان where I is the number of infected individuals in the population, ß denotes the transmission coefficient, K is the total population size and a the recovery rate. Assume that K>0, a>0 and 3>0. 2 (a) Find the steady-state solutions of this model and determine their stability as a function of the: rate a). I represent eradication recovery endawie (b) Hence, or otherwise, determine the condition for the disease to be eradicated. I represets (c) Draw a steady-state diagram for this model treating the recovery rate, a, as the control parameter. Indicate stable and unstable steady-state solutions using solid and dashed lines respectively. due

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