File:StatespaceSI-p9.png

StatespaceSI-p9.png(560 × 420 pixels, file size: 4 KB, MIME type: image/png)

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Summary

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Description

An epidemiological graph for the SIR model. Statespace for S,I. S represents the number of susceptibles, I the number of infectious people. Maximum at S = v/beta = 0.1/0.001 = 100

Graph generated using MATLAB code:
Date 19 June 2006 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. Bye~commonswiki assumed (based on copyright claims).

sirsys.m program

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beta=0.001;
v=0.1;
options = odeset ('RelTol',1e-4,'AbsTol',1e-4);
[T,Y] = ode45(@sirsys1,[0 60],[500 1 0],options,beta,v);
plot (Y(:,1),Y(:,2),'.')

sirsys1.m function

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function dy = sirsys1(t,y,beta,v)
dy = zeros (3,1);
dy(1)=-beta*y(1)*y(2);            %(force of infection) lambda = beta*y(2)
dy(2)=beta*y(1)*y(2)-v*y(2);
dy(3)=v*y(2);

Licensing

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

See also

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Image:Sirsys-p9.png

File history

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Date/TimeThumbnailDimensionsUserComment
current11:55, 19 June 2006Thumbnail for version as of 11:55, 19 June 2006560 × 420 (4 KB)Bye~commonswiki (talk | contribs)== Summary == An epidemiological graph for the SIR model. Statespace for S,I. S represents the number of susceptibles, I the number of infectious people. Graph generated using MATLAB code: ==== sirsys.m program==== <pre> beta=0.001; v=0.1; options = odese

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