Xiridou, Maria; Kretzschmar, Mirjam; Geskus, Ronald Competition of pathogen strains leading to infection with variable infectivity and the effect of treatment. (English) Zbl 1076.92034 Math. Biosci. 197, No. 2, 153-172 (2005). MSC: 92C50 92C60 PDF BibTeX XML Cite \textit{M. Xiridou} et al., Math. Biosci. 197, No. 2, 153--172 (2005; Zbl 1076.92034) Full Text: DOI
Martcheva, Maia; Castillo-Chavez, Carlos Diseases with chronic stage in a population with varying size. (English) Zbl 1012.92024 Math. Biosci. 182, No. 1, 1-25 (2003). MSC: 92C60 34D23 92C50 34D05 34C60 92-08 PDF BibTeX XML Cite \textit{M. Martcheva} and \textit{C. Castillo-Chavez}, Math. Biosci. 182, No. 1, 1--25 (2003; Zbl 1012.92024) Full Text: DOI
Kribs-Zaleta, Christopher M.; Martcheva, Maia Vaccination strategies and backward bifurcation in an age-since-infection structured model. (English) Zbl 0998.92033 Math. Biosci. 177-178, 317-332 (2002). MSC: 92D30 34D23 92C60 45J05 34D05 PDF BibTeX XML Cite \textit{C. M. Kribs-Zaleta} and \textit{M. Martcheva}, Math. Biosci. 177--178, 317--332 (2002; Zbl 0998.92033) Full Text: DOI
Greenhalgh, David; Lewis, Fraser Three-stage AIDS incubation period: A best case scenario using addict-needle interaction assumptions. (English) Zbl 0951.92027 IMA J. Math. Appl. Med. Biol. 17, No. 2, 95-118 (2000). MSC: 92D30 34D23 PDF BibTeX XML Cite \textit{D. Greenhalgh} and \textit{F. Lewis}, IMA J. Math. Appl. Med. Biol. 17, No. 2, 95--118 (2000; Zbl 0951.92027)
Kretzschmar, Mirjam; Dietz, Klaus The effect of pair formation and variable infectivity on the spread of an infection without recovery. (English) Zbl 1002.92557 Math. Biosci. 148, No. 1, 83-113 (1998). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Kretzschmar} and \textit{K. Dietz}, Math. Biosci. 148, No. 1, 83--113 (1998; Zbl 1002.92557) Full Text: DOI
Inaba, Hisashi Calculating \(R_0\) for HIV infection via pair formation. (English) Zbl 0930.92023 Arino, O. (ed.) et al., Advances in mathematical population dynamics - molecules, cells and man. Papers from the 4th international conference, Rice Univ., Houston, TX, USA, May 23–27, 1995. Singapore: World Scientific Publishing. Ser. Math. Biol. Med. 6, 355-382 (1997). MSC: 92D30 60J99 60J70 PDF BibTeX XML Cite \textit{H. Inaba}, in: Advances in mathematical population dynamics - molecules, cells and man. Papers from the 4th international conference, Rice Univ., Houston, TX, USA, May 23--27, 1995. Singapore: World Scientific Publishing. 355--382 (1997; Zbl 0930.92023)
Lefèvre, Claude; Picard, Philippe Collective epidemic models. (English) Zbl 0844.92023 Math. Biosci. 134, No. 1, 51-70 (1996). MSC: 92D30 60J20 PDF BibTeX XML Cite \textit{C. Lefèvre} and \textit{P. Picard}, Math. Biosci. 134, No. 1, 51--70 (1996; Zbl 0844.92023) Full Text: DOI
Brauer, Fred Variable infectivity in communicable disease models. (English) Zbl 0843.92019 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 3201-3210 (1996). MSC: 92D30 45J05 PDF BibTeX XML Cite \textit{F. Brauer}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 3201--3210 (1996; Zbl 0843.92019)
Altmann, M. Susceptible-infected-removed epidemic models with dynamic partnerships. (English) Zbl 0824.92024 J. Math. Biol. 33, No. 6, 661-675 (1995). MSC: 92D30 60J20 60J85 PDF BibTeX XML Cite \textit{M. Altmann}, J. Math. Biol. 33, No. 6, 661--675 (1995; Zbl 0824.92024) Full Text: DOI
Dietz, K.; Heesterbeek, J. A. P.; Tudor, D. W. The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity. (English) Zbl 0805.92024 Math. Biosci. 117, No. 1-2, 35-47 (1993). Reviewer: G.Grimmett (Cambridge) MSC: 92D30 PDF BibTeX XML Cite \textit{K. Dietz} et al., Math. Biosci. 117, No. 1--2, 35--47 (1993; Zbl 0805.92024) Full Text: DOI
Thieme, Horst R.; Castillo-Chavez, Carlos How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS? (English) Zbl 0811.92021 SIAM J. Appl. Math. 53, No. 5, 1147-1479 (1993). MSC: 92D30 45D05 35B40 34G20 PDF BibTeX XML Cite \textit{H. R. Thieme} and \textit{C. Castillo-Chavez}, SIAM J. Appl. Math. 53, No. 5, 1147--1479 (1993; Zbl 0811.92021) Full Text: DOI
Hsieh, Ying-Hen Modelling the effects of screening in HIV transmission dynamics. (English) Zbl 0737.92015 Differential equations models in biology, epidemiology and ecology, Proc. Conf., Claremont/CA (USA) 1990, Lect. Notes Biomath. 92, 99-120 (1991). MSC: 92D30 34D05 34D99 PDF BibTeX XML
Busenberg, Stavros; Castillo-Chavez, Carlos A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS. (English) Zbl 0764.92017 IMA J. Math. Appl. Med. Biol. 8, No. 1, 1-29 (1991). Reviewer: G.Hasibeder (Wien) MSC: 92D30 PDF BibTeX XML Cite \textit{S. Busenberg} and \textit{C. Castillo-Chavez}, IMA J. Math. Appl. Med. Biol. 8, No. 1, 1--29 (1991; Zbl 0764.92017)
Busenberg, Stavros; Castillo-Chavez, Carlos Interaction, pair formation and force of infection terms in sexually transmitted diseases. (English) Zbl 0705.92016 Mathematical and statistical approaches to AIDS epidemiology, Lect. Notes Biomath. 83, 289-300 (1989). MSC: 92D30 PDF BibTeX XML
Thieme, Horst R.; Castillo-Chavez, Carlos On the role of variable infectivity in the dynamics of the human immunodeficiency virus epidemic. (English) Zbl 0687.92009 Mathematical and statistical approaches to AIDS epidemiology, Lect. Notes Biomath. 83, 157-176 (1989). MSC: 92D25 45M05 45M10 34D05 PDF BibTeX XML