The population model given in (1) in section 1.3 dp/dt \propto p or dp dt = kp (1)fails to take death into consideration; the growth rate equals the birth rate. in another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. determine a model for the population p(t) if both the birth rate and the death rate are proportional to the population present at time t > 0. (assume the constants of proportionality for the birth and death rates are k1 and k2 respectively. use p for p( dt =