Image:Sirsys-p9.png

[edit] Summary

(Colors are believed to be: Blue=Susceptible, Green=Infected, and Red=Recovered)
An epidemiological graph for the SIR model. S represents the number of susceptibles, I the number of infectious people and R the number of recovered. Graph generated using MATLAB code:

[edit] sirsys.m program

beta=0.005;
v=0.5;
options = odeset ('RelTol',1e-4,'AbsTol',1e-4);
[T,Y] = ode45(@sirsys1,[0 60],[500 1 0],options,beta,v);
plot(T,Y(:,1),'.',T,Y(:,2),'.',T,Y(:,3),'.')

[edit] sirsys1.m function

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);

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

• Compartmental models in epidemiology