Artículos de revistas
The Attracting Basins And The Assessment Of The Transmission Coefficients For Hiv And M. Tuberculosis Infections Among Women Inmates
Registro en:
Journal Of Biological Systems. , v. 10, n. 1, p. 61 - 83, 2002.
2183390
10.1142/S0218339002000457
2-s2.0-0347303201
Autor
Raimundo S.M.
Yang H.M.
Bassanezi R.C.
Ferreira M.A.C.
Institución
Resumen
It has been observed that in many cases one infection can partially protect against another infection or it may lead to a co-infection. For instance, the interaction between infections with different strains, like dengue and malaria or tuberculosis and lepra, induces cross immunity. On the other hand, individuals infected with HIV are much more susceptible to other infections, for instance, tuberculosis. We propose a compartmental model to describe the transmission of AIDS and tuberculosis in a closed community as an example of one infection activating the other one. When studying the dynamics of the interactions we obtain basins of attraction where one infection prevails over the other one and where both infections coalesce. Furthermore, we are taking into account an adaptation of the model in order to assess the transmission coefficients for HIV and Mycobacterium tuberculosis infections among women inmates. 10 1 61 83 Bailey, N.T.J., (1975) The Mathematical Theory of Infectious Diseases and Its Applications, 2nd Edn., , Charles Griffin & Comp. Ltd., London & High Wycombe Barnes, P.F., Block, A.B., Davidson, P.T., Snider Jr., D.E., Tuberculosis in patients with human immunodeficiency virus infection (1991) The New England J. Med., 324 (23), pp. 1644-1650 Bates, D.M., Watts, D.G., (1988) Nonlinear Regression Analysis and Its Applications, , John Willey & Sons, New York Blower, S.M., McLean, A.R., Porco, T.C., Small, P.M., Hopewell, P.C., Sanchez, M.A., Moss, A.R., The intrinsic transmission dynamics of tuberculosis epidemics (1995) Nature Medicine, 1 (8), pp. 815-821 Chaisson, R.E., Slutikin, G., Tuberculosis and human immunodeficient virus infection (1989) J. Infect. Disease, 159, pp. 96-100 Ferreira, M.A.C., Ferrazoli, L., Palaci, M., Salles, P.S., Medeiros, L.A., Novoa, P., Schechtmann, M., Ferreira Jr., O.C., Tuberculosis among HIV infected women inmates in São Paulo, Brazil: A prospective cohort study (1996) J. AIDS and Human Retrovirology, 13, pp. 111-120 Hershfield, E.S., Tuberculosis in the world (1979) Chest, 76, pp. 805-811 Massad, E., Burattini, M.N., Coutinho, F.A.B., Yang, H.M., Raimundo, S.M., Modelling the interaction between AIDS and tuberculosis (1993) Math. Comp. Modelling, 17 (9), pp. 7-22 Porco, T.C., Blower, S.M., Quantifying the intrisic transmission dynamics of tuberculosis (1998) Theor. Pop. Biol., 54, pp. 117-132 Press, W.P., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., (1989) Numerical Recipes: The Art of Scientific Computing, , FORTRAN version Cambridge University Press, Cambridge Raimundo, S.M., (1996) Uma Abordagem Determinística da Interação de Doenças: AIDS e TB num Presidio (Port.), , Doctoral thesis, IMECC da UNICAMP Schulzer, M., Radhamani, M.P., Grzybowski, S., Mak, E., Fitzgerald, J.M., A mathematical model for the prediction of the impact of HIV infection on tuberculosis (1994) Int. J. Epidem., 23, pp. 400-407 Yang, H.M., Silveira, A.S.B., The loss of immunity in directly transmitted infections modelling: Effects on the epidemiologícal parameters (1998) B. Math. Biol., 60 (2), pp. 355-372 Yang, H.M., Ferreira Jr., W.C., A population model applied to HIV transmission considering protection and treatment (1999) IMA Jour. Math. Appl. Med. Biol., 16 (3), pp. 237-259