Alpha Elite Lea X S Unproctored Test Questionsheet Bmbc Cloud Q The Population Size Per Square Kilometre Of Some Spe 1 (39.77 KiB) Viewed 17 times
Alpha Elite Lea X S Unproctored Test Questionsheet Bmbc Cloud Q The Population Size Per Square Kilometre Of Some Spe 2 (43.65 KiB) Viewed 17 times
Alpha Elite Lea X S Unproctored Test Questionsheet Bmbc Cloud Q The Population Size Per Square Kilometre Of Some Spe 3 (30.34 KiB) Viewed 17 times
Alpha Elite Lea X S Unproctored Test Questionsheet Bmbc Cloud Q The Population Size Per Square Kilometre Of Some Spe 4 (48.89 KiB) Viewed 17 times
ALPHA ELITE LEA X s/unproctored Test.QuestionSheet BMBC Cloud Q • * The population size per square kilometre of some specie is described by the model AN 10/2 <-f(N) = de 9+N2 where N(t) is the number of individuals at time a) Find the three equilibrium points N₁ < N₂ < Ny for this differential equation N₁ Number N₂ Number N3 Number b) Compute the derivative of f f'(N) = c) For each of the equilibrium points, use the Stability Theorem to determine its local stability Compute the derivatives with an accuracy of two decimal places (N₂) Stability reason Of(N₂) >0 0P(Nico ỐIPIN, >1 Click for List Of(N₁) S1 Of'(N₂) ≤0 0g(Ng) <1 Of(N₂) >1 01¹(N₂) <0 ọ ping st Click for L ọ ping) 50 O f'(N₂) so ỌN <1 X m University of Otte x Number Number N C Sign In or Sign U; x C Nbs
Number Click for List d) Complete the following table. N Sign of f(N) N<N₁ Click for List Ni<N<N, Click for List N₂<N< N3 Click for List N>Ng Click for List e) Which of the following figures represents the phase portrait of this differential equation? N₁ N₁ Y Of'(N₂) <0 O f'(N₂) <1 O f'(N3) ≤1 O f'(N₂) >0 Of'(N₂) >1 Of'(N₂) ≤0 Behavior of N Click for List Click for List Click for List Click for List N N Submit Assignment N₂ N3 N₂ N3 Quit & Save Bac
tionSheet O O N₁ N₁ N₁ N₁ N₁ N₂ N3 N₂ N3 N₂ N3 N₂ N3 N₂ N3 N - N N N Submit Assignment Sign Up N o Quit & Save
N₂ N3 N₁ N₂ N3 N O N₁ N₂ N3 1) What is the threshold for the number of individuals per square kilometre under which the population is doom to extinction? Answer: Number O N₁ > - N N
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