Which laws are supreme - judge-made laws or laws made by parliament?1 AnswerLaw & Ethics8 years ago
In ecology, the logistic equation is often written in the form:
dN/dt = rN (1 – N/K),
where N = N(t) stands for the size of the population at time t, the constants r and K stand for the intrinsic growth rate and the carrying capacity of the species, respectively.
If a pond on a fish farm has a carrying capacity of 1000 fish and an intrinsic growth rate of 0.3 (when time is measured in months), and if the pond was originally stocked with 100 fish.
(a) Set up a logistic equation for the fish population N (t) in the pond, with t measured in months.
(b) Find the size of the population when t = 100
(c) Can the population reach 1200 at any future time?
A rabbit population satisfies the logistic equation:
dy/dt = 2 x 10^-7 y (10^6 – y)
where t is the time measured in months. The population is suddenly reduced to 20% of its steady state size by myxamatosis. If the myxamatosis then has no further effect, how large is the population 6 months later? How long will it take for the population to build up again to 90% of its steady state size?