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When does the growth rate of a population following the logistic model equal zero?the logistic model is given as dN/dt = rN (1-N/K)
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- The per capita birth (b) and death (d) rates are measured for two populations across a range of population sizes in the attached figure. The equation for exponential growth rate is dN/dt=rN where the per capita growth rate is r=(b-d). The equation for logistic population growth rate is dN/dt=rN(1-N/K). With logistic growth, r varies as a function of the population size with density-dependent birth and/or death rates. See attached image If the death rate decreased, what would happen to the population trajectory for population A? a) increase faster b) increase slower c) decrease faster d) decrease slowerIn the logistic model of population growth what are N and K and what happens if N>K and explain why. Ho w is the population growth affected if N=K?What is the major difference between the geometric population growth equation and the exponential population growth equation and when would you use one over the other?
- Write a generalized model for exponential population growth. Define your terms. Then, draw a plot showing an example, being sure to label your axes.The growth rate of a population per unit of time is calculated by using this formula: G = r x N. What is the quantity r and how is it calculated?Why does the exponential model of population growth produce a curve shaped like a J?
- Write a model for discrete population growth from t=0 to t=1. Assume that the population is ‘closed’. Define your terms.Write a generalized model for exponential population growth. Define your terms. Then, draw a plot showing an example, being sure to label your axes. Write a formula that extends the preceding model to incorporate carrying capacity, producing sigmoidal population growth. Define your terms. Then, draw a plot showing an example, being sure to label your axes.In the development of the exponential model of population growth, why can B and D be substituted by bN and dN, respectively? Explain.
- If the incidence rate of a very serious disease is 25/100,000 person-years and the prevalence of this disease in the population is 75/100,000, what is the average survival time of individuals who contract this disease? [Assume the population is in steady state] * Hint* Formula (D=P/IR)Contrast exponential and logistic (= sigmoid) growth of a population. Under what conditions might you expect a population to exhibit ex-ponential growth? Why can exponential growth not be perpetuated indefinitely?If the population of 150 squirrels at UofL has 15 births this year, what is the per capita birth rate? - 0.1 squirrels/yr/squirrel If the population of 150 squirrels at UofL has 10 deaths this year, what is per capita death rate? - 0.067 squirrels/yr/squirrel Calculate the intrinsic rate of increase for this squirrel population, using your answers to the questions above. - 0.03 squirrels/yr/squirrel Between having plenty of shelter in the trees and scavenging through the campus garbage, UofL squirrels have seemingly unlimited resources. Using the information you've calculated so far, determine the growth increment for the coming year for the UofL squirrel population. - 4.5 squirrels/yr Let's say that, after you calculated your predictions for unlimited growth of the UofL squirrel populations in the questions above, a bad storm comes through campus and wipes out half the trees! Now, the growth of the population of squirrels becomes limited. There are still 150 squirrels, but the…