Please answer fast the population density (n) changes as a function of the current population density (n) and the current carrying capacity (k): dn/dt = g(n,k) n as always approaching the carrying capacity, with a rate of this approach that is linearly proportional to the difference between the current population density and the carrying capacity. The scale of the response, s = 0.5. dn/dt = g(n,k) = ???
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Please answer fast
the population density (n) changes as a function of the current population density (n) and the current
dn/dt = g(n,k)
n as always approaching the carrying capacity, with a rate of this approach that is linearly proportional to the difference between the current population density and the carrying capacity. The scale of the response, s = 0.5.
dn/dt = g(n,k) = ???
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- ASAPCompare exponential J-curve growth (line A) to logistic S-curve growth (line B). Explain the conditions under which each might occur in might. ✓ ✓ A Carrying Capacity (K) it Number of Individuals B TimeA population grows according to the logistic model N = 55 1 + 0.9e−1.4t , where t is measured in years and N is measured in thousands. (a) What is r for this population? per year(b) What is the environmental carrying capacity K? thousand(c) This population is subject to harvesting. What is the optimum yield level? thousand
- Calculate the rate of population change for a hypothetical population of wildebeest using the logistics equation and carrying capacity equation. How can you explain these results? N = 500, r = 0.1, K = 1000, calculate dN/dt.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.Kudu Scenario Kudu are an antelope species found in easterm and southerm Africa. Male kuou have dramatically spiraled homs, which makes them a target of trophy hunters. Begin by setting up the following parameters: k= 100, r= 0.26, N, = 10. Use the gear icon to adjust the min & max values of N, and k to 2 and 200, respectively. Set the max value oft to 50. 25. At what time ("T value) do kudu populations reach their carrying capacity, given these parameters? 28. What happens to the growth rate of a kudu population as it gets closer and closer to its carrying сарacity? 27. What sorts of environmental changes might cause k to increase in this environment? What might cause k to decrease? 28. Trophy hunters move into the area, leading to an increased death rate, which decreases the growth rate rto 0.13. Exolain how this change will impact the population growth patten. [Hint Look at when the population now reaches its carrying capacity, given this decrease in r. Compare your original curve…
- Based on the equation for logistic population growth, Logistic Growth O A. new Individuals are added most rapidly at low population sizes. This figure displays the equation for logistic population growth and visualizes population growth as a function of time (number of generations) as it approaches carrying capacity. N stands for population size, K stands for carying capacity, and r stands for intrinsic rate of increase. O B. population growth never exceeds K. C. growth rate decreases as N approaches K. D. the population keeps growing when N equals K. K= carrying capacity dN (K-N) dt Number of generations ered MacBook Air F10 F11 吕口 F3 888 F4 F5 F1 F2 $ % & * @ 7 9 2 4 Y P Q W E R F G H K A S D C V N M Z .. * CO B #3 Population size (M)For the cricket, the intrinsic growth rate is 100 and the carrying capacity of the environment is 200,000 individuals. For the frog, the capture efficiency is 0.0002, the conversion efficiency is 0.1, the handling time per cricket is 0.2 hours, and the density-independent per capita death rate of the predator is 0.4. 18. At what value of the number of crickets is the predator population of frogs at equilibrium? 19. What is the dN/dt of the prey population when the number of frogs is 60 and the number of crickets is 11,000? Round to the nearest hundredth. 20. What is the dP/dt of the predator population when the number of frogs is 60 and the number of crickets is 11,000? Round to the nearest hundredth.A region of North America has a population of 65,000 deer in 2016. The deer are kept in check by a wolf population. The carrying capacity of this region allows for 82,000 deer. For this example, assume the rmax is 1.0. With this information, answer/calculate the following:
- Explain what carrying capacity means and give the similarities/differences for exponential growth and logistic growth along with the factors that might affect them. will upvote if correctIn the Lotka-Volterra equations for predator (P) and prey (V) population sizes, shown below, what term represents the carrying capacity for each species? dV = rV - pVP сpVP — d,P dt dP I3| dt O Pand V dP and dV p and c pVP and dpP Carrying capacity is not represented in the Lotka-Volterra equationsExplain the differences between equations for exponential population growth, logistic population growth, and Lotka-Volterra models for competition. Illustrate how and explain why these equations yield different trends?