Epidemiological models with prevalence dependent endogenous self-protection measure

Mathematical Biosciences

Volumn 229, Issue 1, 2011, Pages 41-49

  Kassa, Semu Mitiku ^a,b   Ouhinou, Aziz ^b,c  

^a ADDIS ABABA UNIVERSITY   (Ethiopia)

^b AFRICAN INSTITUTE FOR MATHEMATICAL SCIENCES   (South Africa)

^c STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

Behaviour change; Dynamical systems; Epidemiological models; Infectious diseases

Indexed keywords

BEHAVIOUR CHANGE; EPIDEMIOLOGICAL MODELS; HUMAN DISEASE; HUMAN LEARNING; INFECTIOUS DISEASE; PROTECTION MEASURES; SELF-PROTECTIVE;

BEHAVIORAL RESEARCH; DYNAMICAL SYSTEMS;

MATHEMATICAL MODELS;

BEHAVIORAL RESPONSE; DISEASE PREVALENCE; EPIDEMIC; EPIDEMIOLOGY; INFECTIOUS DISEASE; NUMERICAL MODEL; POPULATION DYNAMICS;

ARTICLE; BEHAVIOR; EPIDEMIC; EPIDEMIOLOGY; LEARNING; MATHEMATICAL MODEL; PREVALENCE; PROTECTION;

ALGORITHMS; BOTSWANA; COMMUNICABLE DISEASES; COMPUTER SIMULATION; DISEASE TRANSMISSION, INFECTIOUS; HEALTH BEHAVIOR; HEALTH EDUCATION; HIV INFECTIONS; HUMANS; MODELS, BIOLOGICAL; PREVALENCE; RISK REDUCTION BEHAVIOR; SEXUAL BEHAVIOR;

EID: 78650748160     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2010.10.007     Document Type: Article

References (24)

1. Mathematical Epidemiology 2008, Springer-Verlag, Berlin, Heidelberg. F. Brauer, P. van den Driessche, J. Wu (Eds.).
2. Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 2000, 42:599.
3. Mukandavire Z., Garira W. Effects of public health educational campaigns and the role of sex workers on the spread of HIV/AIDS among heterosexuals. Theor. Popul. Biol. 2007, 72:346.
4. Mukandavire Z., Garira W., Tchuenche J.M. Modelling effects of public health educational campaigns on HIV/AIDS transmission dynamics. Appl. Math. Model. 2009, 33:2084.
5. Kovacs S. Dynamics of an HIV/AIDS model - the effect of time delay. Appl. Math. Comput. 2007, 188:1597.
6. Ying-Hen H., Cooke K. Behaviour change and treatment of core groups: its effect on the spread of HIV/AIDS. IMA J. Math. Appl. Med. Biol. 2000, 17:213.
7. Baryarama F., Mugisha J.Y.T., Luboobi L.S. A mathematical model for the dynamics of HIV/AIDS with gradual behaviour change. Comput. Math. Methods Med. 2006, 7:15.
8. Hyman J.M., Li J. Behaviour changes in SIS STD models with selective mixing. SIAM J. Appl. Math. 1997, 57:1082.
9. S.D. Hove-Musekwa, F. Nyabadza, H. Mambili-Mamboundou, Modelling hospitalization, home-based care and individual withdrawal for people living with HIV/AIDS in high prevalence areas, Manuscript (unpublished), African Institute for Mathematical Sciences (AIMS), October 2009.
10. Chen F.H. Rational behavioural response and the transmission of STDs. Theor. Popul. Biol. 2004, 66:307.
11. Chen F.H. On the transmission of HIV with self-protective behaviour and preferred mixing. Math. Biosci. 2006, 199:141.
12. Chen F.H. Modelling the effect of information quality on risk behaviour change and the transmission of infectious diseases. Math. Biosci. 2009, 217:125.
13. A. Galata, N. Johnson, D. Hogg, Learning behaviour models of human activities, in: Proceedings of the British Machine Vision Conference, BMVC'99, September 1999.
14. Hill A.V. The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J. Physiol. 1910, 40:01. (retrieved 19.4.10). http://www.jp.physoc.org/cgi/reprint/40/Suppl/i.
15. Van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibrium for compartmental models of disease transmission. Math. Biosci. 2002, 180:29.
16. Castillo-Chávez C., Song B. Dynamical models of Tuberculosis and their applications. Math. Biosci. Eng. 2004, 1:361.
17. UNAIDS/WHO Epidemiological Fact sheet on HIV and AIDS, 2008 update. Available from: http://www.unaids.org.
18. United Nations, Department of International Economic and Social Affairs, Statistical Office, Demographic year book 1983, 35th issue, UN, New York, 1985.
19. United Nations, Department of International Economic and Social Affairs, Statistical Office, Demographic year book 1990, 42nd issue, UN, New York, 1992.
20. United Nations, Department of International Economic and Social Affairs, Statistical Office, Demographic year book 2000, 52nd issue, UN, New York, 2002.
21. United Nations, Department of International Economic and Social Affairs, Statistical Office, Demographic year book 2007, 59th issue, UN, New York, 2009.
22. Vardavas R., Blower S. The emergence of HIV transmitted resistance in Botswana: When will the WHO detection threshold be exceeded?. PLoS ONE 2007, 2(1):e152. 10.1371/journal.pone.0000152.
23. Del Valle S., Evangelista A.M., Velasco M.C., Kribs-Zaleta C.M., Hsu Schmitzu S.F. Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity. Math. Biosci. 2004, 187:111.
24. Philipson T. Private vaccination and public health: an empirical examination for US measles. J. Hum. Resour. 1996, 31:611.