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Unformatted text preview: 3. Pure SIVS (commonly called SIRS) epidemic dS dt = IS + V dI dt = IS I = I ( S ) dV dt = I V dN dt = dS dt + dI dt + dV dt = N ( t ) = N V = N ( S + I ) dS dt = IS + N ( S + I ) ( ) Thus we have a dynamic system in variables S and I (2 nd and last eqs.) Susceptible nullcline: dS dt = IS + N ( S + I ) ( ) = IS + I = N S ( ) I = N S ( ) S + Infectious nullcline: dI dt = I =0 or S = / . S I ! / " N...
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 Fall '10
 WayneM.Getz

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