Subject:
MathematicsAuthor:
jaydenCreated:
7 months agoAnswer:
A) Differential equation for population growth in case of individual immigration is:
\frac{dP}{dt}=kP+r
B) Differential equation for population growth in case of individual emigration is:
\frac{dP}{dt}=kP-r
Step-by-step explanation:
Population growth rate in the absence of immigration and emigration is given as:
\frac{dP}{dt}=kP--(1)
A) When individuals are allowed to immigrate:
Let r be the constant rate of individual immigration given that r >0.
Differential equation for population growth in this case is:
\frac{dP}{dt}=kP+r
B) In case of individual emigration:
Let r be the constant rate of individual emigration given that r >0.
Differential equation for population growth in this case is:
\frac{dP}{dt}=kP-r
Author:
casperbjfn
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