The population model given in (1) in Section 1.3 dP dP = kP (1) or dt dt 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 ki and kz respectively. Use P for P(t).) dP dt
The population model given in (1) in Section 1.3 dP dP = kP (1) or dt dt 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 ki and kz respectively. Use P for P(t).) dP dt
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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