Impact of Intravenous Drug Use on HIV/AIDS among Women Prisoners: A Mathematical Modelling Approach

Table 1

Model parameters and their interpretations.

Parameter	Symbol	Value	Source
Recruitment rate	Λ	0.00163 yr^−1∗3∗10^6	NPA
Natural mortality rate	𝜇	0.02 yr^−1	𝑏^∗
Natural rate of progression to AIDS	𝛾,𝜎	0.1 yr^−1	𝑏^∗
Modification parameter	𝜃	0.25	Assumed
AIDS related death rate	𝜈	0.4 yr^−1	𝑏^∗
Product of effective contact rate for HIV infection and probability of HIV transmission per drug injection	𝛽ℎ	0.562 yr^−1	𝑎^∗
Rate of becoming a drug user	𝜌	0.4 yr^−1	𝑐^∗
Rate of quitting drug misuse of sickness	𝛼	0.3 yr^−1	𝑐^∗
Rate of release from prison	𝜔	0.25 yr^−1	Assumed
Proportion recruited into 𝑆𝑛, 𝐼𝑛ℎ, 𝑆𝑑, and 𝐼𝑑ℎ classes	𝜋0,𝜋1,𝜋2,𝜋3	0.375, 0.125, 0.375, 0.125	Assumed