Consider fanciful modification of the SIR modelling a zombie infestation. The zombies infect suscep- tibles more quickly hence the square root in the differential equations. The term -ys is to model zombies being killed by susceptibles. The model equations are -svi s' svi - Bi ys where s, i are the proportions of susceptible,infected, and recovered individuals and a, B,y are positive con- stants. (a) Find the equilibrium solutions and determine the eventual fate of the population for various values of B,Y Consider fanciful modification of the SIR modelling a zombie infestation. The zombies infect suscep- tibles more quickly hence the square root in the differential equations. The term -ys is to model zombies being killed by susceptibles. The model equations are -svi s' svi - Bi ys where s, i are the proportions of susceptible,infected, and recovered individuals and a, B,y are positive con- stants. (a) Find the equilibrium solutions and determine the eventual fate of the population for various values of B,Y