Assume a population of individuals consists of susceptible, infected, recovered adults and children. The rates of transmission of disease are: (1) bay, from an infected adult to a suspectable adult; (2) bca, from an infected child to a susceptible adult; (3) bcc, from an infected child to a susceptible child; (4) bac, from an infected adult to a suspectable child. The rates of recovery are: (1) ra, for an infected adult; (2) rc, for an infected child. The rates of losing immunity are: (1) VA, for an adult; (2) vc, for a child. (5p) (a) Write the corresponding differential equations describing this epidemic. (1p) (b) Of what type is this epidemic? Assume a population of individuals consists of susceptible, infected, recovered adults and children. The rates of transmission of disease are: (1) bay, from an infected adult to a suspectable adult; (2) bca, from an infected child to a susceptible adult; (3) bcc, from an infected child to a susceptible child; (4) bac, from an infected adult to a suspectable child. The rates of recovery are: (1) ra, for an infected adult; (2) rc, for an infected child. The rates of losing immunity are: (1) VA, for an adult; (2) vc, for a child. (5p) (a) Write the corresponding differential equations describing this epidemic. (1p) (b) Of what type is this epidemic