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Descriptive and Predictive models of dengue epidemiology: an ...

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Modeling uuu <strong>dengue</strong> fever <strong>epidemiology</strong><br />

The two-infections model<br />

without strain structure <strong>of</strong> the pathogens<br />

Ṡ = − β(t)<br />

N S(I P + ρ · N + φI S ) + µ(N − S)<br />

˙ I P<br />

= β(t)<br />

N S(I P + ρ · N + φI S ) − (γ + µ)I P<br />

R˙<br />

P = γI P − (α + µ)R P<br />

(1)<br />

˙ S P<br />

= − β(t)<br />

N S P(I P + ρ · N + φI S ) + R P α − S P µ<br />

I˙<br />

S = β(t)<br />

N S P(I P + ρ · N + φI S ) − (γ + µ)I S<br />

Ṙ = γI S − µR

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