Change Language

dx_t/dt=r(x_t+y_t+z_t)-bx_ty_t-ex_t , dy_t/dt=bx_ty_t-(c+e+v)y_t , dz_t/dt=vy_t-ez_t

This model describes an endemic model. The host population growth is taken into consideration in this model. The base model of host's growing is exponential growth model and Newborns are assumed to be susceptible. The number of susceptible population(X) is x, the patient(Y)'s population is y and cured (Z) population is z.Cure host assumed to have registance to infection. The initial z value, z₀=0. When c>(r-e)(1+v/e) then the surviving host population (x+y+z) will converges to one stable value.