Each individual in a biological population is assumed to give birth at an exponential rate λ and to die at an exponential rate µ

Question

2 years ago

4

Each individual in a biological population is assumed to give birth at an exponential rate λ and to die at an exponential rate µ

. In addition, there is an exponential rate of increase θ due to immigration. However, immigration is not allowed when the population size is N or larger.a) Set this up as a birth and death model.b) If N=3, λ=θ=1, and μ=2, determine the proportion of time that immigration is restricted.

Mathematics

1 answer:

ycow [4] · Answer 1 · 2023-09-05T23:45:19+03:00

ycow [4]2 years ago

6 0

Answer:

π0 = 0.208

Step-by-step explanation:

check the attachment for explicit explanations.