Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Suppose the population of a particular endangered bird changes on a yearly basis as a discrete dynamic system. Suppose that initially there are 60 juvenile chicks and 30 Suppose also that the yearly transition matrix is 60 breeding adults, that is Xo = 30 A [0 1.25] S 0.5 where s is the proportion of chicks that survive to become adults (note that 0 < s < 1 must be true because of what this number represents). (a) Which entry in the transition matrix gives the annual birthrate of chicks per adult? (b) Scientists are concerned that the species may become extinct. Explain why if 0 < s < 0.4 the species will become extinct. (c) If s = 0.4, the population will stabilise at a fixed size in the long term. What will this size be?

Suppose the population of a particular endangered bird changes on a yearly basis as a discrete dynamic system. Suppose that initially there are 60 juvenile chicks and 30 Suppose also that the yearly transition matrix is 60 breeding adults, that is Xo = 30 A [0 1.25] S 0.5 where s is the proportion of chicks that survive to become adults (note that 0 < s < 1 must be true because of what this number represents). (a) Which entry in the transition matrix gives the annual birthrate of chicks per adult? (b) Scientists are concerned that the species may become extinct. Explain why if 0 < s < 0.4 the species will become extinct. (c) If s = 0.4, the population will stabilise at a fixed size in the long term. What will this size be?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 14EQ
See similar textbooks
icon
Related questions
Question

can you pls upload a pic of how you doing it pls

Suppose the population of a particular endangered bird changes on a yearly basis as a discrete dynamic system. Suppose that initially there are 60 juvenile chicks and 30 Suppose also that the yearly transition matrix is [60] breeding adults, that is xo = 30 [0 1.25] A [ where s is the proportion of chicks that survive to become adults (note S 0.5 that 0< s < 1 must be true because of what this number represents). (a) Which entry in the transition matrix gives the annual birthrate of chicks per adult? (b) Scientists are concerned that the species may become extinct. Explain why if 0 < s < 0.4 the species will become extinct. (c) If s = 0.4, the population will stabilise at a fixed size in the long term. What will this size be?
Transcribed Image Text:Suppose the population of a particular endangered bird changes on a yearly basis as a discrete dynamic system. Suppose that initially there are 60 juvenile chicks and 30 Suppose also that the yearly transition matrix is [60] breeding adults, that is xo = 30 [0 1.25] A [ where s is the proportion of chicks that survive to become adults (note S 0.5 that 0< s < 1 must be true because of what this number represents). (a) Which entry in the transition matrix gives the annual birthrate of chicks per adult? (b) Scientists are concerned that the species may become extinct. Explain why if 0 < s < 0.4 the species will become extinct. (c) If s = 0.4, the population will stabilise at a fixed size in the long term. What will this size be?
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS