Download e-book for kindle: Deterministic And Stochastic Models Of Aids Epidemics And by Tan Wai-Yuan, Hulin Wu

By Tan Wai-Yuan, Hulin Wu

ISBN-10: 9812561390

ISBN-13: 9789812561398

ISBN-10: 981256926X

ISBN-13: 9789812569264

With contributions from a global workforce of prime researchers, the ebook pulls jointly up to date examine ends up in the realm of HIV/AIDS modeling to supply readers with the newest info within the box. issues coated comprise: AIDS epidemic types; vaccine versions; versions for HIV/cell dynamics and interactions; mobile kinetics; viral dynamics with antiviral remedies; modeling of drug resistance and quasispecies. wide deterministic versions, statistical versions, stochastic types and country area types on treating AIDS sufferers with anti-retroviral medicines are supplied, in addition to an in-depth dialogue of those types. The ebook additionally comprises up-to-date stories on mathematical types for assessing results of AIDS vaccines, statistical equipment for reading scientific trial facts on AIDS vaccines, and overviews of versions and statistical equipment for assessing drug resistance of HIV to anti- retroviral medicinal drugs. a few vital statistical equipment particular to the intervention and prevention of HIV epidemic also are mentioned. this can be an invaluable reference resource for graduate scholars and researchers in biomathematics and biostatistics, in addition to for HIV/AIDS epidemiologists and scientific investigators studying quantitative how to research AIDS epidemics and HIV an infection.

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Thus, the p-value is p = ˆ }, where ω ˆ is the observed likelihood ratio. One P {χ2TC (k−1) > −2 log ω rejects H0 at level α if p < α. 6. 1, the HIV seroconversion time is a convolution of HIV infection and the window period. This is analogous to the AIDS onset time which is a convolution of HIV infection time and the HIV incubation period (from HIV infection to the AIDS onset). -Y. -J. -Y. Deng information can be derived from sources other than data. Hence, in the event that there are no other information than the data and the likelihood, one needs to assume the probability distribution of window period as known if one wishes to estimate the HIV infection probability; similarly, in the event that there are no other information than the data and the likelihood, one needs to assume the HIV infection probabilities as known if one wishes to estimate the probability distribution of the window period.

N dt (38) dIij = κi(j−1) Ii(j−1) − (κij + µi )Iij j = 2, . . , m dt dAi = κim Iim − µi Ai − δi Ai . dt By the same assumptions made in Sections 3 and 4, we obtain the following probability of exposure to HIV: ˜ i (S, I), τi (S, I)) βi (S, I) = β(π where ˜ τ) = β(π, π 1−τ ∞ 1− k=2 e−ν ν k−2 1 − τk k(1 − τ ) (k − 2)! π ν − 1 + (1 − ντ )e−ν(1−τ ) = 1− 1−τ ν 2 (1 − τ ) ; and n πi = n ρij π ˆj τi = j=1 ρij τˆj j=1 with m π ˆj = αr r=0 Ijr Tj m (1 − αr ) (1 − θr ) τˆj = r=0 Ijr Tj (Ij0 = S). Therefore, the force of infection acting on each susceptible in the ith subpopulation is ˜ i (S, I), τi (S, I)).

Thus, because HIV infection in IV drug users is caused by IV drug use, we let the first time to use IV drug of an IV drug user be the starting time point of that IV drug user. Because the average age that people start sexual behavior is between 13 and 18 years old, for those homosexuals with age less than 20 years old at the testing time, we let the time of 15 years old as the starting time point; for those homosexuals with age greater than 20 years old at the testing time and because on the average it takes about 5 years for homosexual S people to get HIV infected (Tan 2000, Chapter 6), we chose January 1985 as the starting time point to start the HIV epidemic.

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Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Intervention by Tan Wai-Yuan, Hulin Wu

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