Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

In tracking the propagation of a disease, a population can be divided into 3 groups: the portion that is susceptible, S(t), the portion that

 

In tracking the propagation of a disease, a population can be divided into 3 groups: the portion that is susceptible, S(t), the portion that is infected, F(t), and the portion that is recovering, R(t). Each of these will change according to a differential equation: S' = F = -5 R' = so that the portion of the population that is infected is increasing in proportion to the number of susceptible people that contract the disease, and decreasing as a proportion of the infected people who recover. If we introduce the vector y = [S F R, this can be written in matrix form as y' = Ay. If one of the solutions is y = x1 + 600 e-ud x, + 500 e-t/c X3 , where x1 = [0 0 50,000], x2 = [0 -1 1]', and x3 [b 63 -81]", what are the values of a, b, and c? %3D

Step by Step Solution

3.51 Rating (148 Votes )

There are 3 Steps involved in it

Step: 1

4 o 0 4 4 0 O 1 0 2 R 3D A 63 ta X x 600 ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Document Format ( 2 attachments)

PDF file Icon
635e17304f5ea_181369.pdf

180 KBs PDF File

Word file Icon
635e17304f5ea_181369.docx

120 KBs Word File

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Automation Production Systems and Computer Integrated Manufacturing

Authors: Mikell P.Groover

3rd edition

132393212, 978-0132393218

More Books

Students also viewed these Accounting questions

Question

What are master black belts in the Six Sigma hierarchy?

Answered: 1 week ago