HW4MMBS12 - MMB University of Florida HOMEWORK IV Due:...

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University of Florida MMB HOMEWORK IV Due: April 4, 2012 Name: ID #: Instructor: Directions: You have until 5:00 p.m. on the due date to answer the following questions. You must show all your work as neatly and clearly as possible and indicate the Fnal answer clearly. You may use any books and you can work together but each of you must submit a homework. Problem Possible Points 1 5 2 5 All 10 Total 20 1
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(1) Malaria is an infectious disease transmitted by mosquitos. Susceptible human gets infected when bitted by an infectious mosquito; susceptible mosquito gets infected when it bites an infectious human. Let I H ( t ) be the number of infected humans at time t and I V ( t ) be the number of infected mosquitos. If M the total humber of mosquitos and H is the total number of humans (both assumed constant), then the number of susceptible mosquitos is M - I V and the number of susceptible humans is H - I H . Then the dynamics of the number of infected mosquitos and infected humans is given by (1) I V ( t ) = βI H ( M - I V ) - gI V I H ( t ) = αI V ( H - I H ) - rI H where β = ab is the transmission rate from infected human to susceptible mosquito and α = ac
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This note was uploaded on 03/20/2012 for the course MAP 4484 taught by Professor Martcheva,m during the Spring '08 term at University of Florida.

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HW4MMBS12 - MMB University of Florida HOMEWORK IV Due:...

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