One problem with this simplified model is assuming every sexual act is with a new partner, which would only be true in the very early stages.
I think your analysis is on the right track though, and it seems barely plausible with this transmission rate, assuming negligible condom use and an intense bathhouse scene. However, in standard theory HIV progresses to AIDS in about 10 years, so this sets a timer which starts removing vectors from the population.
Thus the exact exponent matters considerably. If incidence can only double every year, then after 10 years you get 2^10 ~ 1000 cases.
If incidence doubles every 6 months (quadruples every year), then you get a million cases after ten years.
If you consider that all other STD’s would infect this population before HIV, then one has to wonder how that would effect condom use, and how that changes the model.
So do you find the transmission rate and make the model before you decide that HIV was an STD which spread this way, or after?
One problem with this simplified model is assuming every sexual act is with a new partner, which would only be true in the very early stages.
It assumes that every sexual act is with an uninfected partner. Perhaps that’s what you meant, but then I wouldn’t have used “very.”
If you consider that all other STD’s would infect this population before HIV, then one has to wonder how that would effect condom use, and how that changes the model.
I think this is pretty well documented. STDs were routine and not a big deal (treatable!) in the 70s gay scene. Thus they did not cause condom use.
One problem with this simplified model is assuming every sexual act is with a new partner, which would only be true in the very early stages.
I think your analysis is on the right track though, and it seems barely plausible with this transmission rate, assuming negligible condom use and an intense bathhouse scene. However, in standard theory HIV progresses to AIDS in about 10 years, so this sets a timer which starts removing vectors from the population.
Thus the exact exponent matters considerably. If incidence can only double every year, then after 10 years you get 2^10 ~ 1000 cases.
If incidence doubles every 6 months (quadruples every year), then you get a million cases after ten years.
If you consider that all other STD’s would infect this population before HIV, then one has to wonder how that would effect condom use, and how that changes the model.
So do you find the transmission rate and make the model before you decide that HIV was an STD which spread this way, or after?
It assumes that every sexual act is with an uninfected partner. Perhaps that’s what you meant, but then I wouldn’t have used “very.”
I think this is pretty well documented. STDs were routine and not a big deal (treatable!) in the 70s gay scene. Thus they did not cause condom use.