MAT136H1 Lecture : 9.4 Population Growth Model Question #2 (Medium)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): setting the logistic differential equation. ) which shows the rate of population growth over time incorporating the carrying capacity and growth rate k factor, which can be calculated by by plugging in the birth rate over death rate as and initial population of . Population at a small town by a mountain is about in 2013. Birth rates range from to per year, and death rates range from to per year. Since denotes population growth rate, birth rates exceed death rate by on average per year, so. Thus, the logistic differential equation modeling the town"s population is: Thus, ( ) by 2017 to be . Therefore, the model estimates the population: if the carrying capacity is , remains the same because it is not affected by the carrying capacity. However the factor a would change: ( ) ; the population estimation for 2017 would change to: ( )