Set #4Show your work to earn credit! Due on Thursday, February 1, 2024.1. Let N(t) be the size of a population of fish. Assume this population grows lo-gistically and that the fish are harvested at the constant rate h,=N-k)K(4.1)dNf(N) - h = r Nh.dtis a bifurcationK is the carrying capacity, r is the intrinsic rate of growth, and h, the harvest rate,parameter. Sketch the bifurcation diagram for this system. Be sureto identify the stability of each branch of your bifurcation diagram. For whatvalue of h is there a bifurcation? What kind of bifurcation is this? Describe thelong-term behavior of the fish population for harvest rates on either side of this bi-furcation. Is there something wrong with this model?

A logistic growth model with a harvest term is the model that is provided. The following formula…

ork to earn credit! Due on Thursday, February 1, 2024. 1. Let N(t) be the size of a population of fish. Assume this population grows lo- gistically and that the fish are harvested at the constant rate h, dN h. dt K K is the carrying capacity, r is the intrinsic rate of growth, and h, the harvest rate, is a bifurcation parameter. Sketch the bifurcation diagram for this system. Be sure to identify the stability of each branch of your bifurcation diagram. For what value of h is there a bifurcation? What kind of bifurcation is this? Describe the long-term behavior of the fish population for harvest rates on either side of this bi- furcation. Is there something wrong with this model? f(N) - h = *N (1- = r N (4.1)

ork to earn credit! Due on Thursday, February 1, 2024. 1. Let N(t) be the size of a population of fish. Assume this population grows lo- gistically and that the fish are harvested at the constant rate h, dN h. dt K K is the carrying capacity, r is the intrinsic rate of growth, and h, the harvest rate, is a bifurcation parameter. Sketch the bifurcation diagram for this system. Be sure to identify the stability of each branch of your bifurcation diagram. For what value of h is there a bifurcation? What kind of bifurcation is this? Describe the long-term behavior of the fish population for harvest rates on either side of this bi- furcation. Is there something wrong with this model? f(N) - h = *N (1- = r N (4.1)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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#17
Ksp for BaCrO4 is 1.17x10^-10
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