Solve b part only in 2 to 3 hours and get a thumb up plz solve correctly plz according to question requirements plz (a) First suppose that the two types have the same intrinsic growth rate r = r₁ = r2 but that they differin their sensitivity to crowding:dnydtdn₂dt= rm1dnyrn₂(₁dtdn₂dtn₁ + n₂K₁where K₂ > K₁. Draw the nullclines and direction field for this system on the ni, n₂ state space.On your diagram, identify the equilibrium point where any non-trivial starting point (n₁, n2 # 0)will ultimately end upn₁ + n₂K₂(b) Now set K₁ = K₂ = K but suppose that each type is less sensitive to crowding from the othertype than from their own type (e.g. this could be because the two types don't use exactly the sameresources)- = rm₁ (1-1₁+0₁2 (1-Ka2n1+n₂)KDraw the nullclines and direction field for this system for the case where a₁ = a2 = 1 and identifythe equilibrium point where any non-trivial starting point (n₁, n2 # 0) will ultimately end up.

(b) Now set K₁ = K₂ = K but suppose that each type is less sensitive to crowding from the other type than from their own type (e.g. this could be because the two types don't use exactly the same resources) dny dt dn₂ dt = rny (1-₁+1²) K a2n1 +n₂1 K Draw the nullclines and direction field for this system for the case where a1 =a2 = and identify the equilibrium point where any non-trivial starting point (n₁, n₂ # 0) will ultimately end up.

(b) Now set K₁ = K₂ = K but suppose that each type is less sensitive to crowding from the other type than from their own type (e.g. this could be because the two types don't use exactly the same resources) dny dt dn₂ dt = rny (1-₁+1²) K a2n1 +n₂1 K Draw the nullclines and direction field for this system for the case where a1 =a2 = and identify the equilibrium point where any non-trivial starting point (n₁, n₂ # 0) will ultimately end up.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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