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Original Articles

The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic

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Pages 695-717 | Received 16 Jul 2011, Accepted 18 Apr 2012, Published online: 16 May 2012

References

  • Anderson , R. M. , May , R. M. , Ng , T. W. and Rowley , J. T. 1992 . Age-dependent choice of sexual partner and the transmission dynamics of HIV in sub-Saharan Africa . Philos. Trans. R. Soc. B , 336 : 135 – 185 .
  • Auvert , B. , Buvé , A. , Ferry , B. , Caraël , M. , Morison , L. , Lagarde , E. , Robinson , N. J. , Kahindo , M. , Chege , J. , Rutenberg , N. , Musonda , R. , Laourou , M. , Akam , E. and Study Group on the Heterogeneity of HIV Epidemics in African Cities . 2001 . Ecological and individual level analysis of risk factors for HIV infection in four urban populations in sub-Saharan Africa with different levels of HIV infection . AIDS , 15 ( Supp. 4 ) : S15 – S30 .
  • Bergstrom , T. and Lam , D. 1994 . “ The effects of cohort size on marriage-markets in twentieth-century Sweden ” . In The Family, the Market, and the State in Ageing Societies , Edited by: Ermisch , J. and Ogawa , N. Oxford : Clarendon Press . Reprint No. 454.
  • Blanc , A. K. and Wolff , B. 2001 . Gender and decision-making over condom use in two districts in Uganda . Afr. J. Reprod. Health , 5 ( 3 ) : 15 – 28 .
  • Boerma , J. T. , Gregson , S. , Nyamukapa , C. and Urassa , M. 2003 . Understanding the uneven spread of HIV within Africa: Comparative study of biologic, behavioral, and contextual factors in rural populations in Tanzania and Zimbabwe . Sex. Transm. Dis. , 30 ( 10 ) : 779 – 787 .
  • Brouard , N. 1994 . “ Aspects démographiques et conséquences de l’épidémie de sida ” . In Population Africaines et Sida , Edited by: Vallin , J. 119 – 178 . Paris : La Découverte .
  • Busenberg , S. N. , Iannelli , M. and Thieme , H. R. 1991 . Global behavior of an age-structured epidemic model . SIAM J. Math. Anal. , 22 ( 4 ) : 1065 – 1080 .
  • Buvé , A. , Caraël , M. , Hayes , R. J. , Auvert , B. , Ferry , B. , Robinson , N. J. , Anagonou , S. , Kanhonou , L. , Laourou , M. , Abega , S. , Akam , E. , Zekeng , L. , Chege , J. , Kahindo , M. , Rutenberg , N. , Kaona , F. , Musonda , R. , Sukwa , T. , Morison , L. , Weiss , H. A. , Laga , M. and Study Group on Heterogeneity of HIV Epidemics in African Cities . 2001 . Multicentre study on factors determining differences in rate of spread of HIV in sub-Saharan Africa: Methods and prevalence of HIV infection . AIDS , 15 ( Supp. 4 ) : S5 – S14 .
  • Casterline , J. , Williams , L. and McDonald , P. 1986 . The age difference between spouses: Variations among developing countries . Popul. Stud. , 40 ( 3 ) : 353 – 374 .
  • Clément , Ph. , Heimans , H. J.A.M. , Angenent , S. , van Duijn , C. J. and de Pagter , B. 1987 . One-Parameter Semigroups , Amsterdam : North-Holland . CWI Monographs 5
  • Feng , Z. , Huang , W. and Castillo-Chavez , C. 2005 . Global behavior of a multi-group SIS epidemic model with age structure . J. Differential Equations , 218 ( 2 ) : 292 – 324 .
  • Glynn , J. R. , Carael , M. , Auvert , B. , Kahindo , M. , Chege , J. , Musonda , R. , Kaona , F. and Buve , A. 2001 . Why do young women have a much higher prevalence of HIV than young men? A study in Kisumu, Kenya and Ndola, Zambia . AIDS , 15 ( S4 ) : S51 – S60 .
  • Gouws , E. , Stanecki , K. , Lyerla , R. and Ghys , P. 2008 . The epidemiology of HIV infection among young people aged 15–24 years in southern Africa . AIDS , 22 ( Suppl. 4 ) : S5 – S16 .
  • Gregson , S. , Nyamukapa , C. , Garnett , G. , Mason , P. , Zhuwau , T. , Caraël , M. , Chandiwana , S. and Anderson , R. 2002 . Sexual mixing patterns and sex-differentials in teenage exposure to HIV infection in rural Zimbabwe . Lancet , 359 : 1896 – 1903 .
  • Greiner , G. 1984 . Spectral properties and asymptotic behavior of linear transport equation . Math. Z. , 185 : 167 – 177 .
  • Grobler , J. J. 1987 . A note on the theorems of Jentzsch–Perron and Frobenius . Indag. Math. (Proceedings) , 90 ( 4 ) : 381 – 391 .
  • Grobler , J. J. 1995 . “ Spectral theory in Banach lattice ” . In Operator Theory in Function Spaces and Banach Lattice (Operator Theory, Advances and Applications 75) , Edited by: Huijsmans , C. B. , Kaashoek , M. A. , Luxemburg , W. A.J. and de Pagter , B. 133 – 172 . Basel : Birkhauser .
  • Iannelli , M. 1995 . Mathematical Theory of Age-Structured Population Dynamics , Pisa : Giardini editori e stampatori . Applied Mathematics Monographs 7
  • Kelly , R. J. , Gray , R. H. , Sewankambo , N. , Serwadda , D. , Wabwire-Mangen , F. , Lutalo , T. and Wawer , M. J. 2003 . Age differences in sexual partners and risk of HIV-1 infection in Rural Uganda . J. Acquir. Immune Defic. Syndr. , 32 ( 4 ) : 446 – 451 .
  • Konde-Lule , J. K. , Sewankambo , N. and Morris , M. 1997 . Adolescent sexual networking and HIV transmission in rural Uganda . Health Transition Rev. , 7 ( Suppl. ) : 89 – 100 .
  • Li , J. and Brauer , F. 2008 . “ Continuous-time age-structured models in population dynamics and epidemiology ” . In Mathematical Epidemiology , Edited by: Brauer , F. , van den Driessche , P. and Wu , J. 205 – 227 . Berlin : Springer . Lecture Notes in Mathematics 1945
  • Luke , N. 2003 . Age and economic asymmetries in the sexual relationships of adolescent girls in sub-Saharan Africa . Stud. Fam. Plann. , 34 ( 2 ) : 67 – 86 .
  • Luke , N. 2005 . Confronting the ‘Sugar Daddy’ stereotype: Age and economic asymmetries and risky sexual behavior in urban Kenya . Int. Fam. Plann. Perspect. , 31 ( 1 ) : 6 – 14 .
  • Marek , I. 1970 . Frobenius theory of positive operators: Comparison theorems and applications . SIAM J. Appl. Math. , 19 ( 3 ) : 607 – 628 .
  • Meyer-Nieberg , P. 1991 . Banach Lattices , Berlin : Springer-Verlag .
  • Schaefer , H. 1974 . Banach Lattices and Positive Operators , New York : Springer-Verlag .
  • Spijker , J. J.A. 2011 . Worldwide household patterns of young couples in multilevel perspective , Ann Arbor , MI : Brown Bag Seminar presentation to the Survey Research Center and Population Studies Center, University of Michigan . 29 March
  • UNAIDS . 2010 . Global report: UNAIDS report on the global AIDS epidemic 2010 , Geneva : UNAIDS/WHO .
  • Voigt , J. 1994 . Stability of the essential type of strongly continuous semigroups . Trudy Mat. Inst. Steklov, Izbran. Voprosy Mat. Fiz. I Anal. , 203 : 469 – 477 .
  • Webb , G. F. 1984 . A Semigroup Proof of the Sharpe Lotka Theorem , 254 – 268 . Berlin : Springer . Lecture Notes in Mathematics 1076
  • Webb , G. F. 1985 . Theory of Nonlinear Age-Dependent Population Dynamics , Marcel Dekker, New York .