What value of r2, will lead to the population stabilizing?
A is a 4x4 matrix containing reproduction rate, survival rate and maturity rate. B is a 4x1 matrix containing the populations for each age group. How would I find the value for r2, that would eventually cause my population to stabilize?
A=
A better image of this matrix is attached
B = 4
18
15
23
One of the ways I tried, was to add up all the values I had, and subtract that from 4 (the 4 age groups) which gave me 0.545, which if I substitute it in,
will give me an answer close to stabilization. I did a bit of mucking around with this number and found my answer was 0.548. (The answer has to be to 3 significant figures)
This gives me the closest I can get to an equilibrium to 4 decimal places. However, why do I need to add 3 to get my answer, surely it should be the stabilization figure straight away?
Any help with this would be greatly appreciated, thanks!
A is a 4x4 matrix containing reproduction rate, survival rate and maturity rate. B is a 4x1 matrix containing the populations for each age group. How would I find the value for r2, that would eventually cause my population to stabilize?
A=
- 0 0.0043 r2 0
- 0.9775 0.9111 0 0
- 0 0.0736 0.9534 0
- 0 0 0.0452 0.9804
A better image of this matrix is attached
B = 4
18
15
23
One of the ways I tried, was to add up all the values I had, and subtract that from 4 (the 4 age groups) which gave me 0.545, which if I substitute it in,
will give me an answer close to stabilization. I did a bit of mucking around with this number and found my answer was 0.548. (The answer has to be to 3 significant figures)
This gives me the closest I can get to an equilibrium to 4 decimal places. However, why do I need to add 3 to get my answer, surely it should be the stabilization figure straight away?
Any help with this would be greatly appreciated, thanks!
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