Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MBB_2012_7_a15, author = {Ekaterina Nosova}, title = {Models of {Control} and {Spread} of {HIV-infection}}, journal = {Matemati\v{c}eska\^a biologi\^a i bioinformatika}, pages = {632--675}, publisher = {mathdoc}, volume = {7}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MBB_2012_7_a15/} }
Ekaterina Nosova. Models of Control and Spread of HIV-infection. Matematičeskaâ biologiâ i bioinformatika, Tome 7 (2012), pp. 632-675. http://geodesic.mathdoc.fr/item/MBB_2012_7_a15/
[1] (data obrascheniya: 13.11.2012) <ext-link ext-link-type='uri' href='http://unaids.org'>http://unaids.org</ext-link>
[2] Pokrovskii V. V., Ladnaya N. N., Sokolova E. V., Buravtsova E. V., “VICh-infektsiya”, Informatsionnyi byulleten, 35, FNMTs SPID, M., 2011, 24 pp.
[3] (data obrascheniya: 13.11.2012) <ext-link ext-link-type='uri' href='http://www.cdc.gov/nchhstp/healthdisparities/'>http://www.cdc.gov/nchhstp/healthdisparities/</ext-link>
[4] Malyi V. P., VICh. SPID. Noveishii meditsinskii spravochnik, Eksmo, M., 2009, 672 pp.
[5] Anderson R. M., Mei R. M., Infektsionnye bolezni cheloveka: dinamika i kontrol, Mir, M., 2004, 784 pp.
[6] Denisov B. P., Sakevich V. I., “Dinamika epidemii VICh/SPID”, Sotsiologicheskie issledovaniya, 2004, no. 1, 75–85
[7] Denisov B. P., Sakevich V. I., “Prognoz vozmozhnykh demograficheskikh posledstvii epidemii VICh/SPIDa v RF”, Problemy prognozirovaniya, 2005, no. 3, 149–160 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2215733'>2215733</ext-link>
[8] Sorokin P. A., Elektronnyi zhurnal «Issledovano v Rossii», 2003, no. 50, 574–588 (data obrascheniya: 13.11.2012) <ext-link ext-link-type='uri' href='http://zhurnal.ape.relarn.ru/articles/2003/050.pdf'>http://zhurnal.ape.relarn.ru/articles/2003/050.pdf</ext-link>
[9] Robinson N. J., Mulder D. W., Auvert B., Hayes R. J., AIDS, 1995, no. 9, 1263–1270 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199511000-00008'>10.1097/00002030-199511000-00008</ext-link>
[10] Bacaer N., Pretorius C., Auvert B., Bulletin of Mathematical Biology, 2010, 19 pp. <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2734062'>2734062</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:1201.92043'>1201.92043</ext-link>
[11] Morris M., Kretzschmar M., AIDS, 1991, no. 11, 641–648
[12] Kretzschmar M., Wiessing L. G., AIDS, 1998, no. 12, 801–811 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199807000-00017'>10.1097/00002030-199807000-00017</ext-link>
[13] Mei S., Sloot P. M. A., Quax R., van de Vijver D., Zhu Y., 2008, 9 pp., arXiv: <ext-link ext-link-type='uri' href='http://arxiv.org/abs/0812.1155v1'>0812.1155v1</ext-link>
[14] Sloot P. M. A., Ivanov S. V., Boukhanovsky A. V., Van De Vijver D., Boucher C., European Conference on Complex Systems, 2007, no. 1, 1–2
[15] Hyman J. M., Li J., Stanley E. A., Sensitivity studies of the Differential infectivity and staged progression models for the transmission of HIV, LA-UR-99–2253, 1999, 32 pp.
[16] Hyman J. M., Li J., Stanley E. A., Mathematical Biosciences, 1999, no. 155, 77–109 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/S0025-5564(98)10057-3'>10.1016/S0025-5564(98)10057-3</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0942.92030'>0942.92030</ext-link>
[17] Hyman J. M., Li J., Stanley E. A., Mathematical Biosciences, 2003, no. 181, 17–54 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/S0025-5564(02)00128-1'>10.1016/S0025-5564(02)00128-1</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=1943227'>1943227</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:1037.92033'>1037.92033</ext-link>
[18] Cooke K. L., Yorke J. A., Math. Biosci., 1973, no. 16, 75–101 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/0025-5564(73)90046-1'>10.1016/0025-5564(73)90046-1</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=312923'>312923</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0251.92011'>0251.92011</ext-link>
[19] Jacquez J. A., Simon C. P., Koopman J., Sattenspiel L., Perry T., Mathematical Biosciences, 1988, no. 92, 119–199 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/0025-5564(88)90031-4'>10.1016/0025-5564(88)90031-4</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=975856'>975856</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0686.92016'>0686.92016</ext-link>
[20] Simon C. P., Jacquez J. A., Reproduction numbers and the stability of equilibrium of SI models for heterogeneous populations, IMA preprint series, No 669, 1990, 56 pp. <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=1154787'>1154787</ext-link>
[21] Jacquez J. A., Simon C. P., AIDS: the epidemiological significance of two different mean rates of partner change, IMA preprint series, No 668, 1990, 10 pp. <ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0704.92018'>0704.92018</ext-link>
[22] Jacquez J. A., Koopman J. S., Simon C. P., Longini I. M., Journal of Acquired Immunodeficiency Syndrome, 1994, no. 7, 1169–1184
[23] Nosova E. A., Romanyukha A. A., Russian Journal of Numerical Analysis and Mathematical Modelling, 24:4 (2009), 325–340 <ext-link ext-link-type='doi' href='https://doi.org/10.1515/RJNAMM.2009.020'>10.1515/RJNAMM.2009.020</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2548947'>2548947</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:1167.92021'>1167.92021</ext-link>
[24] Romanyukha A. A., Nosova E. A., “Model rasprostraneniya VICh-infektsii v rezultate sotsialnoi dezadaptatsii”, Upravlenie bolshimi sistemami, 2011, no. 34, 227–253
[25] Nosova E. A., Obukhova O. V., Romanyukha A. A., “Rasprostranenie VICh i sotsialnaya dezadaptatsiya naseleniya Rossii”, Russkii zhurnal «SPID, rak i obschestvennoe zdorove», 14:2(24) (2010), 13–32
[26] Cowell M. J., Hoskins W. H., AIDS, HIV mortality and life insurance, Society of Actuaries, 1987, 63 pp.
[27] Castillo-Chavez C., Cooke K., Huang W., Levin S. A., Journal of Mathematical Biology, 1989, no. 27, 373–398 <ext-link ext-link-type='doi' href='https://doi.org/10.1007/BF00290636'>10.1007/BF00290636</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=1009897'>1009897</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0715.92029'>0715.92029</ext-link>
[28] Thieme H. R., Castillo-Chavez C., SIAM Journal on Applied Mathematics, 53:5 (1993), 1447–1479 <ext-link ext-link-type='doi' href='https://doi.org/10.1137/0153068'>10.1137/0153068</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=1239414'>1239414</ext-link>
[29] Law M. G., Prestage G., Grulich A., van de Ven P., Kippax S., AIDS, 2001, no. 15, 1287–1294 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-200107060-00011'>10.1097/00002030-200107060-00011</ext-link>
[30] Longini I. M., Clark W. S., Byers R. H., Ward J. W., Darrow W. W., Lemp G. F., Hethcote H. W., Statistics in Medicine, 8 (1989), 831–843 <ext-link ext-link-type='doi' href='https://doi.org/10.1002/sim.4780080708'>10.1002/sim.4780080708</ext-link>
[31] Nagelkerke N. J. D., Plummer F. A., Holton D., Anzala A. O., Manji F., Ngugi E. N., Moses S., AIDS, 1990, no. 4, 743–747 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199008000-00005'>10.1097/00002030-199008000-00005</ext-link>
[32] Longini I. M., Clark W. S., Karon J. M., American Journal of Epidemiology, 137:11 (1993), 1229–1240
[33] Longini I. M., Satten G. A., Applied Statistics, 45:3 (1996), 275–309 <ext-link ext-link-type='doi' href='https://doi.org/10.2307/2986089'>10.2307/2986089</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0856.62100'>0856.62100</ext-link>
[34] Hendriks J. C. M., Satten G. A., Longini I. M., van Druten H. A. M., Schellekens P. T. A., Coutinho R. A., van Griensven G. J. P., AIDS, 1996, no. 10, 649–656 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199606000-00011'>10.1097/00002030-199606000-00011</ext-link>
[35] Hendriks J. C. M., Satten G. A., van Ameijden E. J. C., van Druten H. A. M., Coutinho R. A., van Griensven G. J. P., AIDS, 1998, no. 12, 1537–1544 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199812000-00017'>10.1097/00002030-199812000-00017</ext-link>
[36] Mathieu E., Loup P., Dellamonica P., Daures J. P., Biometrical journal, 47:6 (2005), 834–846 <ext-link ext-link-type='doi' href='https://doi.org/10.1002/bimj.200410164'>10.1002/bimj.200410164</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2221922'>2221922</ext-link>
[37] Abbas U. L., Anderson R. M., Mellors J. W., JAIDS, 2006, no. 41, 632–641
[38] Velasco-Hernandez J. X., Brauer F., Castillo-Chavez C., IMA Journal of Applied Mathematics in Medicine and Biology, 1996, no. 13, 175–192 <ext-link ext-link-type='doi' href='https://doi.org/10.1093/imammb/13.3.175'>10.1093/imammb/13.3.175</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0857.92015'>0857.92015</ext-link>
[39] Lipsitch M., Nowak M. A., Journal of Theoretical Biology, 1995, no. 174, 427–440 <ext-link ext-link-type='doi' href='https://doi.org/10.1006/jtbi.1995.0109'>10.1006/jtbi.1995.0109</ext-link>
[40] Wilson D. P., Kahn J., Blower S. M., PNAS, 103:38 (2006), 14228–14233 <ext-link ext-link-type='doi' href='https://doi.org/10.1073/pnas.0509689103'>10.1073/pnas.0509689103</ext-link>
[41] Hyman J. M., Li J., Linear algebra and its applications, 2005, no. 398, 101–116 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/j.laa.2004.07.017'>10.1016/j.laa.2004.07.017</ext-link><ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=2121346'>2121346</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:1062.92060'>1062.92060</ext-link>
[42] Aalen O. O., Farewell V. T., De Angelis D., Day N. E., Gill O. N., AIDS, 1999, no. 13, 103–108 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199901140-00014'>10.1097/00002030-199901140-00014</ext-link>
[43] Anderson R. M., Gupta S., May R. M., Nature, 1991, no. 350, 356–359 <ext-link ext-link-type='doi' href='https://doi.org/10.1038/350356a0'>10.1038/350356a0</ext-link>
[44] Blower S. M., McLean A. R., Science, 1994, no. 265, 1451–1454 <ext-link ext-link-type='doi' href='https://doi.org/10.1126/science.8073289'>10.1126/science.8073289</ext-link>
[45] Owens D. K., Edwards D. M., Shachter R. D., AIDS, 1998, no. 12, 1057–1066 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-199809000-00014'>10.1097/00002030-199809000-00014</ext-link>
[46] Bogard E., Kuntz K. M., JAIDS, 2002, no. 29, 132–141 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=1918704'>1918704</ext-link>
[47] Blower S. M., Koelle K., Kirschner D. E., Mills J., PNAS, 98:6 (2001), 3618–3623 <ext-link ext-link-type='doi' href='https://doi.org/10.1073/pnas.061029998'>10.1073/pnas.061029998</ext-link>
[48] Blower S. M., Bodine E. N., Grovit-Ferbas K., Current drug targets — infectious disorders, 2005, no. 5, 179–192 <ext-link ext-link-type='doi' href='https://doi.org/10.2174/1568005054201616'>10.2174/1568005054201616</ext-link>
[49] Blower S., Bodine E., Kahn J., McFarland W., AIDS, 2005, no. 19, 1–14 <ext-link ext-link-type='doi' href='https://doi.org/10.1097/00002030-200501030-00001'>10.1097/00002030-200501030-00001</ext-link>
[50] Hsieh Y.-H., Cooke K., IMA J. Math. Appl. Med. Biol., 2000, no. 17, 213–241 <ext-link ext-link-type='doi' href='https://doi.org/10.1093/imammb/17.3.213'>10.1093/imammb/17.3.213</ext-link>
[51] Eames K. T. D., Keeling M. J., PNAS, 99:20 (2002), 13330–13335 <ext-link ext-link-type='doi' href='https://doi.org/10.1073/pnas.202244299'>10.1073/pnas.202244299</ext-link>
[52] Pertsev N. V., Leonenko V. N., Imitatsionnoe modelirovanie. Teoriya i praktika, Trudy 5-oi Vserossiiskoi nauchno-prakticheskoi konferentsii, v. 1, 2011, 234–238