Consider the following variation of the Lotka-Volterra predator prey model N = N(a - BN - YP) P = P(-8 + €N) Assume a > SB. (a) Draw the nullclines assuming that a = 2 and 3 = 8 = e = y = 1 and determine the directions the vector field. (b) Show that the equilibria are (c) Show that is stable. δα (0,0), (,0), (2, -50) δα BS YE
Consider the following variation of the Lotka-Volterra predator prey model N = N(a - BN - YP) P = P(-8 + €N) Assume a > SB. (a) Draw the nullclines assuming that a = 2 and 3 = 8 = e = y = 1 and determine the directions the vector field. (b) Show that the equilibria are (c) Show that is stable. δα (0,0), (,0), (2, -50) δα BS YE
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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