fails to take death into consideration; the growth rate equals the birth rate. I

Question

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(t).)

dP dt =

Explanation / Answer

dB/dT = k1P

dD/dt = k2P

therefore, dp/dt = K1*P - K2*P = (K1-K2)P

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