logistic model

[mturab110]

A herd of goats was introduced onto an island on 1 march 1970 and the size of the population was estimated on 1 march in subsequent year.
The size of the initial population was 50, and it had grown to approx 110 after one year. After another year the size of the population was approx 200 and following year it was approx 260. Assume that the behavior of the population satisfies the logistic model.


A) show that the annual proportionate growth rate for the population of size 50 was approx 1.2 and that the annual proportionate growth rate for the population of size 200 was approx 0.3.

B) find the corresponding values of the annual proportionate growth rate for low population level R and the equilibrium population size E.

 

[Deleted member 4993]

A herd of goats was introduced onto an island on 1 march 1970 and the size of the population was estimated on 1 march in subsequent year.
The size of the initial population was 50, and it had grown to approx 110 after one year. After another year the size of the population was approx 200 and following year it was approx 260. Assume that the behavior of the population satisfies the logistic model.


A) show that the annual proportionate growth rate for the population of size 50 was approx 1.2 and that the annual proportionate growth rate for the population of size 200 was approx 0.3.

B) find the corresponding values of the annual proportionate growth rate for low population level R and the equilibrium population size E.

This is a standard problem in logistic growth - without any apparent "gotcha"s. So look into your textbooks example problems (or google the topic to find example problems) to start.

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.