Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Problem 2: Consider the following equation for a certain population of squirrels given by P(t) (t is measured in years). dP = 2.32P dt - 10 a Find all the equilibrium points of the equations. Draw the phase line and determine the stability of each equilibrium points. b Make a graph of the solutions with initial conditions P(0) = 4, P(0) = 6, and P(0) = 12. c At a certain time the hunting of squirrels become permitted and the law allows that a certain percentage a of the squirrel population be eliminated every year. A new equation for the squirrel population is then dP 2.32P ( 1 10 1) – aP dt The IALS (International Association for the Liberation of Squirrels) asserts than no more than 19% of squirrels should be eliminated every year (i.e a = 0.19), otherwise the pop- ulation would go extinct. On the contrary the UHA (United Hunters of America) asserts that it is safe to hunt 41% of the squirrel population every year (i.e. a = 0.41). • Analyze the systems as a varies and determine who is right from the IALS or the UHA. • Find the largest possible value of a so that the squirrel population does not go extinct.

Problem 2: Consider the following equation for a certain population of squirrels given by P(t) (t is measured in years). dP = 2.32P dt - 10 a Find all the equilibrium points of the equations. Draw the phase line and determine the stability of each equilibrium points. b Make a graph of the solutions with initial conditions P(0) = 4, P(0) = 6, and P(0) = 12. c At a certain time the hunting of squirrels become permitted and the law allows that a certain percentage a of the squirrel population be eliminated every year. A new equation for the squirrel population is then dP 2.32P ( 1 10 1) – aP dt The IALS (International Association for the Liberation of Squirrels) asserts than no more than 19% of squirrels should be eliminated every year (i.e a = 0.19), otherwise the pop- ulation would go extinct. On the contrary the UHA (United Hunters of America) asserts that it is safe to hunt 41% of the squirrel population every year (i.e. a = 0.41). • Analyze the systems as a varies and determine who is right from the IALS or the UHA. • Find the largest possible value of a so that the squirrel population does not go extinct.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Problem 2: Consider the following equation for a certain population of squirrels given by P(t) (t is measured in years). dP = 2.32P | 1- dt 1) 10 a Find all the equilibrium points of the equations. Draw the phase line and determine the stability of each equilibrium points. b Make a graph of the solutions with initial conditions P(0) = 4, P(0) = 6, and P(0) = 12. c At a certain time the hunting of squirrels become permitted and the law allows that a certain percentage a of the squirrel population be eliminated every year. A new equation for the squirrel population is then dP = 2.32P | 1- dt - 1) - αP 5 10 The IALS (International Association for the Liberation of Squirrels) asserts than no more than 19% of squirrels should be eliminated every year (i.e a = ulation would go extinct. On the contrary the UHA (United Hunters of America) asserts that it is safe to hunt 41% of the squirrel population every year (i.e. a = 0.19), otherwise the pop- 0.41). • Analyze the systems as a varies and determine who is right from the IALS or the UHA. • Find the largest possible value of a so that the squirrel population does not go extinct.
Transcribed Image Text:Problem 2: Consider the following equation for a certain population of squirrels given by P(t) (t is measured in years). dP = 2.32P | 1- dt 1) 10 a Find all the equilibrium points of the equations. Draw the phase line and determine the stability of each equilibrium points. b Make a graph of the solutions with initial conditions P(0) = 4, P(0) = 6, and P(0) = 12. c At a certain time the hunting of squirrels become permitted and the law allows that a certain percentage a of the squirrel population be eliminated every year. A new equation for the squirrel population is then dP = 2.32P | 1- dt - 1) - αP 5 10 The IALS (International Association for the Liberation of Squirrels) asserts than no more than 19% of squirrels should be eliminated every year (i.e a = ulation would go extinct. On the contrary the UHA (United Hunters of America) asserts that it is safe to hunt 41% of the squirrel population every year (i.e. a = 0.19), otherwise the pop- 0.41). • Analyze the systems as a varies and determine who is right from the IALS or the UHA. • Find the largest possible value of a so that the squirrel population does not go extinct.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS