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Theory and Modern Applications

Table 2 Parameters values of Γ, β , μ , and γ utilized for the resolution of the SIR multi-domains differential system ( 11 )-( 13 ), and then leading to simulations obtained from Figure  5 to Figure  7 , with the initial conditions \(\pmb{S_{0}}\) , \(\pmb{I_{0}}\) , and \(\pmb{R_{0}}\) associated to the three regions \(\pmb{\Omega_{1}}\) , \(\pmb{\Omega_{2}}\) , and \(\pmb{\Omega_{3}}\)

From: Effect of awareness programs and travel-blocking operations in the control of HIV/AIDS outbreaks: a multi-domains SIR model

 

S (0)

I (0)

R (0)

Γ

β

μ

γ

\(\Omega_{1}\)

10,000

200

0

100

0.04

0.012

0.002

\(\Omega_{2}\)

9,000

100

0

180

0.05

0.013

0.001

\(\Omega_{3}\)

9,500

50

0

80

0.001

0.0144

0.002