Here's a tough question that my brother came up with:

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Here's a tough question that my brother came up with:

Post  Matt on Wed Oct 08, 2008 6:18 am

In a certain city, every day, some people become sick, some people stay well, and some people die.

Of all the people that stay well, 55% are sick the next day.
Of all people that are sick, 60% die the next day.
Dead people, of course, remain dead.

Assuming the society starts with a population of 10,000 on Monday, how many people are well on Friday? How many are sick? Dead?

Find the steady state vector of the population of this city as time approaches infinity (HINT: use the eigenvalue 1 and its associated eigenvector!!!!!).
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Re: Here's a tough question that my brother came up with:

Post  Mira Holford on Wed Oct 08, 2008 6:45 am

Matt wrote:In a certain city, every day, some people become sick, some people stay well, and some people die.

Of all the people that stay well, 55% are sick the next day.
Of all people that are sick, 60% die the next day.
Dead people, of course, remain dead.

Assuming the society starts with a population of 10,000 on Monday, how many people are well on Friday? How many are sick? Dead?

Find the steady state vector of the population of this city as time approaches infinity (HINT: use the eigenvalue 1 and its associated eigenvector!!!!!).

thats a cheerful problem Very Happy ...

im workin on it it gets really confusing ill post the answer when (if)i get one.
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Re: Here's a tough question that my brother came up with:

Post  Ben R on Wed Oct 08, 2008 8:31 am

Mira Holford wrote:
Matt wrote:In a certain city, every day, some people become sick, some people stay well, and some people die.

Of all the people that stay well, 55% are sick the next day.
Of all people that are sick, 60% die the next day.
Dead people, of course, remain dead.

Assuming the society starts with a population of 10,000 on Monday, how many people are well on Friday? How many are sick? Dead?

Find the steady state vector of the population of this city as time approaches infinity (HINT: use the eigenvalue 1 and its associated eigenvector!!!!!).

thats a cheerful problem Very Happy ...

Yeah, really. I have to answer for you: 0. That's how many people would stay with conditions like that. (But seriously, I'll probably get around to answering it sooner or later.)
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Re: Here's a tough question that my brother came up with:

Post  Archis on Wed Oct 08, 2008 8:53 am

My solution:
Spoiler:
Monday- Well: 10,000
Tuesday- Well: 4,500 Sick:5,500
Wednesday- Well: 2,025 Sick: 2,200(not dead... yet)+ 2475(just sick)=4675 Dead:3300
Thursday (Note: Here estimation to nearest whole number begins)- Well: 911 Sick: 2984 Dead: 6105
Friday- Well: 410 Sick:995 Dead: 7895
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Re: Here's a tough question that my brother came up with:

Post  Mira Holford on Wed Oct 08, 2008 9:52 am

ill post my solution tomarrow or the next day cuz i didnt have time today.
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Re: Here's a tough question that my brother came up with:

Post  Mira Holford on Thu Oct 09, 2008 4:23 am

still working
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Re: Here's a tough question that my brother came up with:

Post  Steve on Thu Oct 09, 2008 6:48 am

I don't even know where to start. What is a "eigenvalue 1"???? confused confused confused confused confused
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Re: Here's a tough question that my brother came up with:

Post  Mira Holford on Thu Oct 09, 2008 6:50 am

Steve wrote:I don't even know where to start. What is a "eigenvalue 1"???? confused confused confused confused confused


idk
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