Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

Hethcote, 2000, The mathematics of infectious diseases, SIAM Rev., 42, 599, 10.1137/S0036144500371907

Diekmann, 1990, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28, 365, 10.1007/BF00178324

Wiggins, 1990

Berman, 1970

Anderson, 1991

Diekmann, 1999

Hethcote, 1987, Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs, Math. Biosci., 84, 85, 10.1016/0025-5564(87)90044-7

Huang, 1992, Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission, SIAM J. Appl. Math., 52, 835, 10.1137/0152047

Castillo-Chavez, 2002, On the computation of R0 and its role in global stability, 229

Nold, 1980, Heterogeneity in disease-transmission modeling, Math. Biosci., 52, 227, 10.1016/0025-5564(80)90069-3

Hyman, 1999, The differential infectivity and staged progression models for the transmission of HIV, Math. Biosci., 155, 77, 10.1016/S0025-5564(98)10057-3

Castillo-Chavez, 1997, To treat of not to treat: the case of tuberculosis, J. Math. Biol., 35, 629, 10.1007/s002850050069

Blower, 1996, Control strategies for tuberculosis epidemics: new models for old problems, Science, 273, 497, 10.1126/science.273.5274.497

Hethcote, 1978, An immunization model for a heterogeneous population, Theor. Populat. Biol., 14, 338, 10.1016/0040-5809(78)90011-4

Dushoff, 1998, Backwards bifurcations and catastrophe in simple models of fatal diseases, J. Math. Biol., 36, 227, 10.1007/s002850050099

Jacquez, 1988, Modelling and analyzing HIV transmission: the effect of contact patterns, Math. Biosci., 92, 119, 10.1016/0025-5564(88)90031-4

Feng, 1997, Competitive exclusion in a vector–host model for the Dengue fever, J. Math. Biol., 35, 523, 10.1007/s002850050064

Castillo-Chavez, 2000, A model for TB with exogenous reinfection, Theor. Populat. Biol., 57, 235, 10.1006/tpbi.2000.1451

D. Greenhalgh, O. Diekmann, M.C.M. de Jong, Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity, Math. Biosci. 165 (2000) 1

Busenberg, 1995, Disease transmission in multigroup populations of variable size, vol. 1, 15

Lin, 1993, An epidemiological model for HIV/AIDS with proportional recruitment, Math. Biosci., 118, 181, 10.1016/0025-5564(93)90051-B

Horn, 1991