Title |
Mathematical Modelling for the Transmission Dynamics of HIV infection and AIDS |
Authors |
정형환(Chung, Hyeng-Hwan) ; 주석민(Joo, Seok-Min) ; 정문규(Chung, Mun-Gyu) ; 이광우(Lee, Kwang-Woo) |
Keywords |
시스템 공학 ; 이배화 시간 ; 동성간의 혼합모델 ; 전파특성 ; 재생율 ; 수학적 모델화 system engineering ; doubling time ; homogeneous mixture model ; transmission dynamics ; reproductive rate ; mathematical modelling ; AIDS(acquired immunodeficiency syndrom) ; HIV(human immunodeficiency virus) |
Abstract |
This study investigates the population model of the spread of HIV/AIDS which the infection is generated by an infectious individual in a population of susceptible. A mathematical model is presented for the transmission dynamics of HIV infection within the communities of homosexual males. The pattern on the epidemic character of HIV, the causative agent of AIDS, was analysed by the mathematical model of AIDS system which is derived according to the ecological relationship between five epidemilogic states of individuals. The computer simulation was performed using real data and the following conclusions are drawn on the basis of the simulations. 1. The model structure and the algorithm described n the thesis is good. 2. In proportion to increase Ro, the population of AIDS patient increases and the time of its widespread reaches earlier. 3. The AIDS patients will be maximum between 7 and 21 years after an attack of AIDS and widespread between 10 and 20 years. 4. Considering the properties of the incubation periods, the maximum number of infected person is increased, and the attack rate is decreased. |