Mathematics, 13.12.2020 09:50 bneilesauger
Controlling a population The fish and game department in a certain state is planning to issue hunting permits to control the deer population (one deer per permit). It is known that if the deer population falls below a certain level m, the deer will become extinct. It is also known that if the deer population rises above the carrying capacity M, the population will decrease back to M through disease and malnutrition.
a. Discuss the reasonableness of the following model for the growth rate of the deer population as a function of time:
dP/dt=rP(M−P)(P−m)
where P is the population of the deer and r is a positive constant of proportionality. Include a phase line.
b. Explain how this model differs from the logistic model dP/dt=rP(M−P). Is it better or worse than the logistic model?
c. Show that if P>M for all t, then limt→∞P(t)=M
d. What happens if P
e. Discuss the solutions to the differential equation. What are the equilibrium points of the model? Explain the dependence of the steady-state value of P on the initial values of P.
About how many permits should be issued?
Answers: 2
Mathematics, 21.06.2019 18:30, Kelseyyleigh2611
Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?
Answers: 3
Mathematics, 21.06.2019 19:30, lalaokawami0912
Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?
Answers: 3
Mathematics, 21.06.2019 21:00, nell1234565
A25- foot ladder leans against a building and reaches a point of 23.5 feet above the ground .find the angle that the ladder makes with the building
Answers: 2
Mathematics, 21.06.2019 21:30, thompsonmark0616
Find the domain and range of the following function f(x) = 51x - 21+ 4
Answers: 2
Controlling a population The fish and game department in a certain state is planning to issue huntin...
Mathematics, 12.04.2021 21:30
Computers and Technology, 12.04.2021 21:30
Social Studies, 12.04.2021 21:30