(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 221830, 6106]*) (*NotebookOutlinePosition[ 222509, 6130]*) (* CellTagsIndexPosition[ 222465, 6126]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ Logistic Models: A Simulation of the Spread of a Virus\ \>", "Title", TextAlignment->Center], Cell[TextData[{ "\nThis ", StyleBox["Mathematica", FontSlant->"Italic"], " notebook provides a simulation of the spread of a virus within a group of \ N people. The spread of the virus is tracked for maxdays or until the entire \ population becomes infected. The simulation provides a demonstration of a \ logistic model.\n\n", StyleBox["First Day:", FontWeight->"Bold"], " One randomly chosen person is infected.\n", StyleBox["Second Day: ", FontWeight->"Bold", FontVariations->{"CompatibilityType"->0}], " The infected individual chooses at random a number between 1 and N. If \ the chosen number is different from the number assigned to the infected \ individual, then there are two infected persons. Otherwise, on the second \ day, only one person is infected.\n", StyleBox["Third Day:", FontWeight->"Bold"], " Each previously infected person chooses at random a number between 1 and \ N. The pool of infected persons may grow or by chance remain the same.\n", StyleBox["Other Days:", FontWeight->"Bold"], " Repeat the previous procedure. The process terminates when all N people \ are infected.\n\nSince a random number generator is being used, it is \ possible that one or more people may remain uninfected for a long period of \ time. 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