Rabbits breed Story bit 1: A pair of rabbits can produce 33 young per year. Mode

ID: 3005504 • Letter: R

Question

Rabbits breed Story bit 1: A pair of rabbits can produce 33 young per year.

Model 1: Let R(t) be the population of rabbits in year t. Model the rate of change of a rabbit population. Initially neglect any death terms.

I got the answer to the first model below:

I need help with the second model using the following information:

Story bit 2: The average lifespan of a wild rabbit is 1 year

Model 2: Let R(t) be the population of rabbits in year t. Model the rate of change of a rabbit population, and solve for R(t).

Model l'. dt 2 2. dR - In R t R- t 2. t

if R is population, death rate would br R per year.

so in model !, subtract R in RHS also.

dR/dt= birth rate-death rate

=33/2 R-R=31/2R

now solve the equation

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