Disease Spread With Recovery Consider the far more likely scenario in which a disease is circulating in a population, in such a way that individuals recover from the disease unharmed but are susceptible to reinfection. Again, let I, denote the fraction of infected individuals in the population at time t. A discrete-time dynamical system which models this scenario is given by +1 1+ble(1-1)-kl₁ = where the positive parameter b represents the per capita rate at which susceptible member of the population is infected, and the positive parameter k represents the rate at which infected individuals recover. Note that both b> 0 and k> 0. 4. Again let b 0.5, and find the equilibrium points for this new system algebraically (your answers will depend on the parameter k).