A population model applied to HIV transmission considering protection and treatment.

An epidemiological population model is proposed to assess the impact of protection and/or treatment strategies applied to HIV infection. Sex-education campaigns are the available protection strategy, and drug (or association of drugs) administration is the treatment strategy considered. In this model we assumed recruitment and differential mortality rates for the homosexual population. In addition to the classical threshold contact rate related to the establishment of the disease, we obtained a threshold input rate.

[1]  J. Strang,et al.  AIDS And Drug Misuse: The Challenge for Policy and Practice in the 1990s , 1990 .

[2]  Herbert W. Hethcote,et al.  Optimal ages of vaccination for measles , 1988 .

[3]  D Greenhalgh,et al.  Some results for an SEIR epidemic model with density dependence in the death rate. , 1992, IMA journal of mathematics applied in medicine and biology.

[4]  D J Nokes,et al.  Rubella seroepidemiology in a non-immunized population of São Paulo State, Brazil , 1994, Epidemiology and Infection.

[5]  M. Eslami,et al.  Introduction to System Sensitivity Theory , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  A Pugliese,et al.  Population models for diseases with no recovery , 1990, Journal of mathematical biology.

[7]  I. Longini,et al.  Estimating the stage-specific numbers of HIV infection using a Markov model and back-calculation. , 1992, Statistics in medicine.

[8]  S S Stevens,et al.  Neural events and psychophysical law. , 1971, Science.

[9]  Roy M. Anderson,et al.  Population dynamics of fox rabies in Europe , 1981, Nature.

[10]  S. Gupta,et al.  The transmission dynamics of the human immunodeficiency virus type 1 in the male homosexual community in the United Kingdom: the influence of changes in sexual behaviour. , 1989, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[11]  Martin A Nowak,et al.  THE EVOLUTION OF VIRULENCE IN PATHOGENS WITH VERTICAL AND HORIZONTAL TRANSMISSION , 1996, Evolution; international journal of organic evolution.

[12]  E Massad,et al.  Assessing the efficacy of a mixed vaccination strategy against rubella in São Paulo, Brazil. , 1995, International journal of epidemiology.

[13]  Roy M. Anderson,et al.  Possible demographic consequences of HIV/AIDS epidemics. I. assuming HIV infection always leads to AIDS , 1988 .

[14]  Roger H.J. Grimshaw,et al.  Nonlinear Ordinary Differential Equations , 1990 .

[15]  M. Nowak,et al.  The evolution of virulence in sexually transmitted HIV/AIDS. , 1995, Journal of theoretical biology.

[16]  D Greenhalgh,et al.  Vaccination campaigns for common childhood diseases. , 1990, Mathematical biosciences.

[17]  H. Hethcote,et al.  Disease transmission models with density-dependent demographics , 1992, Journal of mathematical biology.

[18]  H R Thieme,et al.  Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations. , 1992, Mathematical biosciences.

[19]  William H. Press,et al.  Numerical recipes : the art of scientific computing : FORTRAN version , 1989 .

[20]  Hyun Mo Yang.  Modelling Vaccination Strategy Against Directly Transmitted Diseases Using a Series of Pulses , 1998 .

[21]  J. Hyman,et al.  Using mathematical models to understand the AIDS epidemic , 1988 .

[22]  J. Ward,et al.  Statistical analysis of the stages of HIV infection using a Markov model. , 1989, Statistics in medicine.

[23]  A. Berman,et al.  Nonnegative matrices in dynamic systems , 1979 .

[24]  R. May,et al.  Infectious Diseases of Humans: Dynamics and Control , 1991, Annals of Internal Medicine.

[25]  Herbert W. Hethcote,et al.  Dynamic models of infectious diseases as regulators of population sizes , 1992, Journal of mathematical biology.

[26]  C. M. Place,et al.  Ordinary differential equations : a qualitative approach with applications , 1982 .

[27]  R. M. May,et al.  Possible demographic consequences of AIDS in developing countries , 1988, Nature.

[28]  D Greenhalgh,et al.  Vaccination in density-dependent epidemic models. , 1992, Bulletin of mathematical biology.

[29]  G. Rutherford,et al.  Relationship between AIDS latency period and AIDS survival time in homosexual and bisexual men. , 1990, Journal of acquired immune deficiency syndromes.

[30]  D Greenhalgh,et al.  Modelling epidemics with variable contact rates. , 1995, Theoretical population biology.