Figure 1: Markov Model of AIDS
Full Text
Yun Zhong Xiaoni Zhong* Bin Peng Yan Zhang
School of Public Health and Management, Chongqing Medical University, Chongqing, China*Corresponding author: Xiaoni Zhong, Professor, Supervisor, Department of Epidemiology and Health Statistics, School of Public Health and Management, Chongqing Medical University, Chongqing, China, E-mail: 1932352920@qq.com
Objective: Pre-exposure prophylaxis (PrEP) for AIDS is a biomedical prevention strategy. This research aims to conduct an economic evaluation of PrEP strategy through an analysis of its cost-effectiveness and cost-utility.
Methods: Based on findings of previous studies and data from literature retrieval, this research adopts Markov model to compute the quality-adjusted life years (QALY) gained by MSM (men who have sex with men) as well as the cost and economic burden of disease with or without PrEP, and further analyzes PrEP’s cost-effectiveness and cost-utility.
Results: (1) If promoting PrEP to 10 million MSM for one year, 340,000 new HIV infections (suboptimal medication adherence) or 507,000 new HIV infections (optimal medication adherence) can be prevented. (2) With suboptimal medication adherence, the total cost of PrEP for 340,000 people in 30 years is 52.74 billion RMB, while without PrEP, the economic burden of the disease reaches 95.49 billion RMB. The cost of using PrEP to prevent one HIV infection is 155,100 RMB, and it can save 15,700 RMB per QALY gained. (3) With optimal medication adherence, it costs 61.97 billion RMB to provide PrEP for 507,000 people in 30 years, while 142.39 billion RMB to bear the economic burden of disease without PrEP. The cost to prevent one infection is 122,200 RMB, and it saves 19,800 RMB per QALY gained.
Conclusions: The analysis of PrEP’s cost-effectiveness and cost-utility indicates that this strategy is highly cost-effective and can be promoted among MSM in China.
MSM; AIDS; PrEP; Economic evaluation; Markov model
Nowadays, the global AIDS epidemic is in a grim state, which has begun to spread from high-risk groups to the general population. Besides, China’s large population is a breeding ground for AIDS. Once it spreads to the general population, it will do great harm to the society and economy [1]. So far, many studies have been conducted on HIV/AIDS prevention and control in the world, among which preexposure prophylaxis (PrEP), a biomedical prevention strategy, has become a research hotspot. PrEP, refers to a way for HIV-negative individuals at high risk of infection to take antiretroviral drugs regularly before or during potential exposure in order to lower their chances of getting infected [2-3]. Many studies abroad have proved that PrEP is of effectiveness, safety, and economic value, and thus, the World Health Organization (WHO) has promoted the PrEP strategy as part of comprehensive measures for AIDS prevention and control in recent years.
In China, a ten-year study led by the research group of Chongqing Medical University has also proved that PrEP is both effective and safe. However, there is not enough economic evaluation targeted for PrEP strategy in China. This research aims to predict the costeffectiveness and cost-utility of PrEP through Markov model and provide a reference for further studies on PrEP and policy-making of China’s Health Department.
Source of Material
The data are derived from findings of previous studies (2012ZX10001007-007) as well as literature retrieval on the subject.
According to previous studies, the drug works for MSM (men who have sex with Men) only when it is taken both before and after sexual behavior and the overall drug-taking rate reaches at least 80%. The incidence density can be reduced by 3.4/100 person-year when MSM who use PrEP have suboptimal adherence (80%); by 5.07/100 personyear when they have optimal adherence (94%) [4]. Sources of other data are shown in table 1.
Parameter | Value | Reference | |
HIV incidence density prevented with suboptimal adherence | 3.4/100 person-year | 4 | |
HIV incidence density prevented with optimal adherence | 5.07/100 person-year | 4 | |
Initial Rate | HIV | 1 | |
AIDS | 0 | ||
HIV with ART | 0 | ||
AIDS with ART | 0 | ||
Death | 0 | - | |
Death Rate of HIV-infected persons | 0.026 | 6 | |
Incidence Rate of AIDS for HIV-infected persons | 0.057 | 7-8 | |
Treatment Rate of ART among HIV-infected persons | 0.459 | 10-15 | |
Retention Rate of HIV-infected persons | 0.458 | - | |
Death Rate of AIDS patients | 0.37 | 6 | |
Treatment Rate of ART among AIDS patients | 0.504 | 10-15 | |
Retention Rate of AIDS patients | 0.126 | - | |
Death Rate of HIV with ART | 0.01 | 6 | |
Incidence Rate of AIDS of HIV with ART | 0.037 | 16-18 | |
Retention Rate of HIV with ART | 0.953 | - | |
Death Rate of AIDS with ART | 0.09 | 5 | |
Retention Rate of AIDS with ART | 0.91 | - | |
HUI of each state | HIV | 0.8 | |
HIV with ART | 0.87 | ||
AIDS | 0.68 | ||
AIDS with ART | 0.82 | 19-20 | |
Economic burden of disease | HIV | 10098.5 RMB/year | |
HIV with ART | 16,248 RMB/year | ||
AIDS | 33,817 RMB/year | ||
AIDS with ART | 36,795 RMB/year | 21 | |
The number of MSM in China | 10 million | 22 | |
TDF | 85 RMB/30 pills | - | |
Frequency of sexual behavior | Once per week | 4 | |
Discount Rate | 3% | - |
Table 1: Calculation parameter list.
Research Methods
Establishing Markov Model: Take MSM that avoids to get infected with the use of PrEP as a whole, and utilize a Markov model to simulate their disease progression. In accordance with the natural course of HIV infection and the current situation in China, HIV- infected persons or AIDS patients are divided into five states: HIV, AIDS, HIV with antiretroviral therapy (ART), AIDS with ART and Death, with Death being the absorbing state. Transitions between these states are shown in figure 1. Treeage Pro 2011 is applied to establish the Markov model of AIDS. Take one year as a cycle and simulate it for 30 years.
Assumptions of the Markov Model: To simplify the model analysis, the following assumptions are made for the simulation:
- Every year, a certain proportion of research subjects receive ART and all of them take doses regularly.
- The model takes one year as a cycle, assuming that the economic burden of disease, as well as the transition probability, remains the same within one year.
- Perform a semi-cycle correction on the initial and final states, assuming that transition among states or death occurs at the midpoint of each cycle, that is, the sixth month of each year [5].
Setting model parameters
- The initial probabilities of each state are: HIV (1), AIDS (0), HIV with ART (0), AIDS with ART (0), Death (0).
- The death rate of HIV-infected people, HIV patients with ART, AIDS patients: according to the study [6], the death rate of HIVinfected people=0.005 × 4/10+0.02 × 3/10+0.06 × 3/10=0.026; the death rate of HIV patients with ART=0.005 × 4/10+0.01 × 3/10+0.0154 × 3/10=0.010; the death rate of AIDS patients is 0.37.
- Incidence Rate of AIDS for HIV-infected persons: according to the study [7-8], when the incubation period of HIV is 11.5 years, the instantaneous probability of progression from HIV to AIDS: P1= -[ln(1-0.5)]/11.5=0.0603, and the probability in a year: P2=1-exp(-P1 × t)=0.059 [9]. Therefore, the probability from HIV to AIDS = (1- 0.026) × 0.059=0.057.
- Treatment Rate of ART among HIV-infected people and AIDS patients: according to the study [10-15], assuming that the coverage rates of ART among HIV and AIDS patients are 50% and 80% respectively, the ART treatment rate of HIV-infected persons = (1-0.026-0.057) × 0.5=0.459, and the ART treatment rate of AIDS patients = (1-0.37) × 0.8=0.504.
- Retention Rate of HIV-infected persons=1-0.026-0.057-0.459=0.458. Retention rate of AIDS patients=1-0.37-0.504=0.126.
- Incidence Rate of AIDS for HIV with ART: according to the study [16-18], the median of infection progress of HIV with ART is 18 years, so the instantaneous probability P1 = -[ln(1-0.5)]/18=0.0385, and the probability in one year P2 = 1-exp(-P1 × t)=0.0378. Therefore, the probability of HIV with ART developing into AIDS with ART = (1-0.01) × 0.0378=0.037.
- Retention rate of HIV with ART = 1-0.01-0.037=0.953.
- The death rate of AIDS with ART is 0.09 [5].
- Retention rate of AIDS with ART = 1-0.09=0.91.
- The Health Utilities Index (HUI) of each state: according to the study [19-20], HUI of HIV-infected persons is 0.8; HUI of HIV with ART is 0.87; HUI of AIDS patients are 0.68; HUI of AIDS with ART is 0.82.
- Economic Burden of disease: by calculating the data provided by Zhang [21], the economic burden of HIV without ART, HIV with ART, AIDS without ART and AIDS with ART are 10098.5 RMB/year, 16,248 RMB/year, 33,817 RMB/year and 36,795 RMB/year respectively
- PrEP Index: according to the survey conducted by the Ministry of Public Health of China in 2004, there are 5 to 10 million MSM in China [22]. We assume that the number of MSM is 10 million in this research. The drug of PrEP is Tenofovir disproxil fumarate (TDF), 85 RMB per 30 pills. According to the study [4], penetrative sex among MSM happens once a week.
- The Discount: we assume that the discount rate is 3%.
Evaluation Index
The number of new HIV infections avoided=the number of MSM × decreased HIV incidence density with optimal/suboptimal PrEP adherence × 1 year. Cost-effectiveness ratio (CER) = cost of promoting PrEP / the number of new HIV infections avoided. Cost-utility ratio (CUR) = cost of promoting PrEP /quality-adjusted life years (QALY) gained by people with PrEP. Incremental cost-effectiveness ratio (ICER) / incremental cost-utility ratio (ICUR) = (the cost of launched programs - the cost of undeveloped programs) / (the effectiveness of launched programs - the effectiveness of undeveloped programs) = △C/△E (△C represents incremental cost and △E represents incremental effectiveness).
QALY results of Markov Model Simulation
Through the analog computation of the Markov model, the transition probability of each state and QALY in different stages are displayed in table 2. It is found that as the cycle goes on, the distribution of newly infected people in each state changes, and the death rate increases gradually.
Transition Probability of Each State | QALY (person-year) | |||||||
HIV | HIV with ART | AIDS | AIDS With ART |
Death | QALY under infection |
Cumulative QALY under infection | Cumulative QALY in a healthy state |
|
0 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.4000 | 0.4000 | 0.5000 |
1 | 0.4580 | 0.4590 | 0.0570 | 0.0000 | 0.0260 | 0.7811 | 1.1811 | 1.4709 |
2 | 0.2098 | 0.6476 | 0.0333 | 0.0457 | 0.0636 | 0.7460 | 1.9270 | 2.4135 |
3 | 0.0961 | 0.7135 | 0.0162 | 0.0823 | 0.0919 | 0.7102 | 2.6373 | 3.3286 |
4 | 0.0440 | 0.7241 | 0.0075 | 0.1095 | 0.1150 | 0.6752 | 3.3125 | 4.2171 |
5 | 0.0202 | 0.7102 | 0.0035 | 0.1302 | 0.1360 | 0.6410 | 3.9535 | 5.0797 |
6 | 0.0092 | 0.6861 | 0.0016 | 0.1465 | 0.1566 | 0.6076 | 4.5611 | 5.9172 |
7 | 0.0042 | 0.6581 | 0.0007 | 0.1595 | 0.1775 | 0.5750 | 5.1361 | 6.7303 |
8 | 0.0019 | 0.6291 | 0.0003 | 0.1699 | 0.1988 | 0.5434 | 5.6795 | 7.5197 |
9 | 0.0009 | 0.6004 | 0.0002 | 0.1780 | 0.2205 | 0.5128 | 6.1923 | 8.2861 |
10 | 0.0004 | 0.5726 | 0.0001 | 0.1843 | 0.2426 | 0.4834 | 6.6757 | 9.0302 |
11 | 0.0002 | 0.5459 | 0.0000 | 0.1889 | 0.265 | 0.4551 | 7.1309 | 9.7526 |
12 | 0.0001 | 0.5203 | 0.0000 | 0.1921 | 0.2875 | 0.4280 | 7.5589 | 10.454 |
13 | 0.0000 | 0.4959 | 0.0000 | 0.1941 | 0.3100 | 0.4022 | 7.9611 | 11.135 |
14 | 0.0000 | 0.4726 | 0.0000 | 0.1950 | 0.3324 | 0.3775 | 8.3386 | 11.7961 |
15 | 0.0000 | 0.4504 | 0.0000 | 0.1949 | 0.3547 | 0.3541 | 8.6927 | 12.4379 |
16 | 0.0000 | 0.4292 | 0.0000 | 0.1940 | 0.3767 | 0.3319 | 9.0246 | 13.0611 |
17 | 0.0000 | 0.4091 | 0.0000 | 0.1925 | 0.3985 | 0.3108 | 9.3354 | 13.6661 |
18 | 0.0000 | 0.3898 | 0.0000 | 0.1903 | 0.4199 | 0.2909 | 9.6262 | 14.2535 |
19 | 0.0000 | 0.3715 | 0.0000 | 0.1876 | 0.4409 | 0.2720 | 9.8983 | 14.8238 |
20 | 0.0000 | 0.3541 | 0.0000 | 0.1844 | 0.4615 | 0.2543 | 10.1526 | 15.3775 |
21 | 0.0000 | 0.3374 | 0.0000 | 0.1809 | 0.4817 | 0.2376 | 10.3901 | 15.9150 |
22 | 0.0000 | 0.3216 | 0.0000 | 0.1771 | 0.5013 | 0.2218 | 10.6119 | 16.4369 |
23 | 0.0000 | 0.3064 | 0.0000 | 0.1731 | 0.5205 | 0.2070 | 10.8189 | 16.9436 |
24 | 0.0000 | 0.2920 | 0.0000 | 0.1689 | 0.5391 | 0.1931 | 11.0120 | 17.4355 |
25 | 0.0000 | 0.2783 | 0.0000 | 0.1645 | 0.5572 | 0.1801 | 11.1921 | 17.9131 |
26 | 0.0000 | 0.2652 | 0.0000 | 0.1600 | 0.5748 | 0.1678 | 11.3599 | 18.3768 |
27 | 0.0000 | 0.2528 | 0.0000 | 0.1554 | 0.5919 | 0.1564 | 11.5163 | 18.8270 |
28 | 0.0000 | 0.2409 | 0.0000 | 0.1507 | 0.6084 | 0.1456 | 11.6619 | 19.2641 |
29 | 0.0000 | 0.2296 | 0.0000 | 0.1461 | 0.6243 | 0.1356 | 11.7975 | 19.6885 |
30 | 0.0000 | 0.2188 | 0.0000 | 0.1414 | 0.6398 | 0.0631 | 11.8606 | 19.8944 |
Table 2: Transition probability of each state and QALY in different states.
Take the population who avoid getting HIV infected with PrEP in a year as a whole, and continue PrEP for 30 years. If this population take regular doses before exposition to AIDS from the start of prevention to the end of implementing PrEP and are not infected with HIV in the life cycle of research, each of them will gain 19.89 QALY.
If this population becomes new HIV-infected persons, each patient can gain 11.86 QALY through 30-year follow-up, management, antiviral treatment, and other measures.
The Cost and economic burden of disease calculated by Markov Model
If promoting PrEP to 10 million MSM for one year, with suboptimal medication adherence (80%), 340,000 new HIV infections can be prevented, and with optimal medication adherence (94%), 507,000 can be avoided.
When new HIV-infected persons are involved in the antiviral treatment management for 30 years, the average cost of one HIVinfected person is 280,840 RMB.
If promoting PrEP to this population for 30 years, with suboptimal adherence, the total cost of 340,000 people is 52.74 billion RMB; while with optimal adherence, the total cost of 507,000 people is 61.97 billion RMB. Details are provided in table 3.
Stage (year) | Cost (RMB/ person) | Cumulative cost under infection (RMB/ person) |
Total cumulative cost of PrEP with suboptimal adherence (billion) | Total cumulative cost of PrEP with optimal adherence (billion) |
0 | 5049.25 | 5049.25 | 1.33 | 1.56 |
1 | 13602.44 | 18651.69 | 3.90 | 4.58 |
2 | 14562.11 | 33213.80 | 6.40 | 7.52 |
3 | 14769.25 | 47983.05 | 8.82 | 10.37 |
4 | 14651.67 | 62634.71 | 11.18 | 13.14 |
5 | 14362.71 | 76997.42 | 13.47 | 15.82 |
6 | 13973.02 | 90970.44 | 15.69 | 18.43 |
7 | 13520.24 | 104490.68 | 17.84 | 20.97 |
8 | 13026.79 | 117517.47 | 19.94 | 23.42 |
9 | 12507.48 | 130024.95 | 21.97 | 25.81 |
10 | 11972.95 | 141997.90 | 23.94 | 28.13 |
11 | 11431.22 | 153429.12 | 25.85 | 30.38 |
12 | 10888.61 | 164317.73 | 27.71 | 32.56 |
13 | 10350.12 | 174667.86 | 29.52 | 34.69 |
14 | 9819.75 | 184487.61 | 31.27 | 36.75 |
15 | 9300.65 | 193788.26 | 32.97 | 38.74 |
16 | 8795.30 | 202583.56 | 34.63 | 40.69 |
17 | 8305.60 | 210889.16 | 36.23 | 42.57 |
18 | 7832.95 | 218722.12 | 37.79 | 44.40 |
19 | 7378.37 | 226100.49 | 39.30 | 46.18 |
20 | 6942.51 | 233042.99 | 40.77 | 47.90 |
21 | 6525.74 | 239568.74 | 42.19 | 49.58 |
22 | 6128.23 | 245696.96 | 43.57 | 51.20 |
23 | 5749.90 | 251446.86 | 44.92 | 52.78 |
24 | 5390.56 | 256837.43 | 46.22 | 54.31 |
25 | 5049.87 | 261887.30 | 47.49 | 55.80 |
26 | 4727.39 | 266614.69 | 48.72 | 57.24 |
27 | 4422.61 | 271037.30 | 49.91 | 58.65 |
28 | 4134.95 | 275172.25 | 51.07 | 60.01 |
29 | 3863.78 | 279036.03 | 52.19 | 61.33 |
30 | 1804.23 | 280840.27 | 52.74 | 61.97 |
Table 3: The economic burden of disease and cost of PrEP in each cycle of Markov model.
The economic evaluation of PrEP strategy
With suboptimal adherence, the total cost of implementing PrEP for 30 years is 52.74 billion RMB, while the economic burden of disease caused by not implementing PrEP is 95.49 billion RMB. By promoting PrEP, a total of 2.73 million QALY can be saved, and the cost to prevent one HIV infection is 155,100 RMB, which can save 125,700 RMB. The cost to save a QALY is 7799 RMB through PrEP intervention, which can save 15,700 RMB per QALY gained.
With optimal adherence, the total cost of implementing PrEP for 30 years is 61.97 billion RMB. Without PrEP, the loss caused by the economic burden of the disease reaches 142.39 billion RMB. By promoting PrEP, 4.07 million QALY in total can be gained, and the cost to prevent one HIV infection is 122,200 RMB, which can save 158,600 RMB. The cost to save a QALY is 6,145 RMB through PrEP intervention, which can save 19,800 RMB per QALY gained. The results are shown in table 4.
Index | Suboptimal Adherence | Optimal Adherence |
Number of new HIV infections prevented | 340,000 person | 507,000 person |
The economic burden of disease in total | 95.49 billion RMB | 142.39 billion RMB |
The total cost of PrEP | 52.74 billion RMB | 61.97 billion RMB |
QALY gained by non HIV-infected or non-AIDS patients | 19.89 year-person | |
QALY gained by HIV-infected or AIDS patients | 11.86 year-person | |
QALY gained by PrEP | 2,73 million | 4,07 million |
The incremental cost of PrEP | -42.75 billion RMB | -80.42 billion RMB |
CER of PrEP | 155,100 RMB/person | 122,200 RMB/person |
ICER of PrEP | -125,700 RMB/person | -158,600 RMB/person |
CUR of PrEP | 7799 RMB/QALY | 6145 RMB/QALY |
ICUR of PrEP | -15,700 RMB/QALY | -19,800 RMB/QALY |
Table 4: The economic evaluation of PrEP strategy among MSM.
HIV/AIDS epidemic has caused multiple problems in the society, leaving orphans and the old unsupported, widening the gap between the rich and the poor, leading to social discrimination and social panic as well as damage to social image [1]. Direct impacts on families include changes in family structure and reduced income [1]. It also affects the economy by influencing social structure. According to Li Jingwen [23], the total loss of human capital caused by HIV/AIDS epidemic in China from 2006 to 2010 reaches 354.07 billion RMB, resulting in a total loss of 19.25 billion RMB in GDP.
Though plenty of AIDS-related economic evaluations in healthcare have been carried out at home and abroad, the existing evaluation standard is neither globally acknowledged nor reliable enough. However, studies by Kahn, Pinkerton, and others [24-25] have shown that if the cost of a prevention program to avoid one HIV infection is lower than the economic burden of treatment, the program is considered cost-effective. This research shows that the cost of PrEP to avoid one HIV infection is 125,700 RMB (with suboptimal adherence) or 158,600 RMB (with optimal adherence) lower than the cost of treatment. In terms of CUR evaluation, under the approach promoted by WHO-CHOICE, an intervention, per QALY gained, costs less than three times the GDP per capita is considered cost-effective, whereas one that costs less than the GDP per capita is considered highly costeffective [26]. In this research, it is found that promoting PrEP, per QALY gained, can save 15,700 RMB (with suboptimal adherence) or 19,800 RMB (with optimal adherence). To conclude, when the medication adherence of MSM is no less than 80%, PrEP is highly cost-effective and worth promoting among MSM.
It is found that the higher the adherence is, the better the effect of HIV prevention among MSM is. Besides, the cost of preventing HIV infection and saving QALY decreases, with more money saved. Therefore, to obtain better economic benefits, further studies need to discuss how to improve the medication adherence of MSM and the question that MSM with what characteristics should be targeted to promote PrEP.
This study was supported by the National Key Project for Infectious Diseases of the Ministry of Science and Technology of China (grant number 2012ZX10001007-007). The authors thank all the participants and investigators for their help. All of the analysis, interpretations, and conclusions are solely from the authors.
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Article Type: RESEARCH ARTICLE
Citation: Zhong Y, Zhong X, Peng B, Zhang Y (2019) The Economic Evaluation of PrEP Strategy among MSM. J Epidemiol Public Health Rev 4(1): dx.doi.org/10.16966/2471-8211.170
Copyright: © 2019 Zhong Y, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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