6) Solve the problem. 760 6) The logistic growth function f(t) = describes the population of...
please answer correctly The logistic growth function at right describes the number of people, f), who have become ill with influenza t weeks after its initial outbreak in a particular community. 107,000 1 + 4900 a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill? a. The number of people initially infected...
POPULATION MODELS: PLEASE ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP. The logistic growth model describes population growth when resources are constrained. It is an extension to the exponential growth model that includes an additional term introducing the carrying capacity of the habitat. The differential equation for this model is: dP/dt=kP(t)(1-P(t)/M) Where P(t) is the population (or population density) at time t, k > 0 is a growth constant, and M is the carrying capacity of the habitat. This...
step by step please 4. Suppose that the logistic equation dt Pla -bP) models a population of fish in a lake after t months during which no fishing occurs. What is the limiting population for this fish population? suppose that, because of fishing, fish are removed from the lake at a rate proportional to the existing fish population. i. Write a differential equation that describes this situation. ii. Show that if the constant of proportionality for the harvest of fish,...
8. Scientists use the Logistic Growth P.K P(t) = function P. +(K-P.)e FC to model population growth where P. is the population at some reference point, K is the carrying capacity which is a theoretical upper bound of the population and ro is the base growth rate of the population. e. Find the growth rate function of the world population. Be sure to show all steps. f. Use technology to graph P'(t) on the interval [0, 100] > [0, 0.1]....
M 6. The equation for logistic growth has the general form y = 1+ Be-M -M , where M, B, and k are positive constants and M represents the maximum level that y can obtain. Suppose that a lake is stocked with 100 fish. After 3 months there are 250 fish. A study of the ecology of the lake predicts that the lake can support 1000 fish. Find a logistic function for the number NO) of fish in the lake...
12.57 A logistic growth model for world population, f(x), in bilions, x years after 1968 is f(x) 1+4.11e-0026x According to this model when will the world population be billion According to this model, the world population will be 7 bilion in I (Round to the nearest whole number as needed)
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
(5 points) The rabbit population on an island follows a logistic curve f(t) where t is in years after the the year 2000. What is the average population of rabbits on the island between 2000 to 2012? NOTE! Round your decimal answer down to the nearest whole rabbit. 60000.00 f(t) = 6 + 0.066
Solve the problem. 7) If a population has a growth rate of 6% per year, how long to the nearest tenth of a year will it take the population to double? 8) Let P(t) be the quantity of strontium-90 remaining after t years. Suppose the half-life of strontium-90 is 28 years. Which of the following equations expresses the half-life information?
Problem #6: A model for a certain population P(1) is given by the initial value problem dP-H10-3-10-13 P), dt P(0)= 100000000, where t is measured in months (a) What is the limiting value of the population'? (b) At what time (i.e., after how many months) will the populaton be equal to one half of the limiting value in (a)? Do not round any numbers for this part. You work should be all symbolic.) Problem #6(a): 10000000000 Enter your answer symbolically,...