journal article Open Access Jul 15, 2016

Classification of different Hepatitis B infected individuals with saturated incidence rate

View at Publisher Save 10.1186/s40064-016-2706-3
Topics

No keywords indexed for this article. Browse by subject →

References
23
[1]
Ali N, Zaman G (2016) Asymptotic behavior of HIV-1 epidemic model with infinite distributed intracellular delays. Ali and Zaman. SpringerPlus 5:324. doi: 10.1186/s40064-016-1951-9 10.1186/s40064-016-1951-9
[2]
Anderson RM, May RM (1991) Infectious disease of humans, dynamics and control. Oxford University Press, Oxford, UK 10.1093/oso/9780198545996.001.0001
[3]
Capasso V, Serio G (1978) A generation of the KermackMcKendrick deterministic epidemic model. Math Biosci 42:43–61 10.1016/0025-5564(78)90006-8
[4]
Chang MH (2007) Hepatitis virus infection. Semen Fetal Neonatal Med 12(3):160–167 10.1016/j.siny.2007.01.013
[5]
Global stability of an SEIS epidemic model with recruitment and a varying total population size

Meng Fan, Michael Y. Li, KE WANG

Mathematical Biosciences 2001 10.1016/s0025-5564(00)00067-5
[6]
Gomes MGM, Margheri A, Medley GF, Rebelo C (2005) Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence. Math Biosci 51:414–430
[7]
Kar TK, Jana S (2013) A theoratical study on mathematical modeling of an infectious disease with application of optimal control. Biosystem 111:37–50 10.1016/j.biosystems.2012.10.003
[8]
[9]
Li J, Ma Z (2002) Qualitative analysis of SIS epidemic model with vaccination and varying total population size. J Math Comput Model 20:1235–1243 10.1016/s0895-7177(02)00082-1
[10]
Li MY, Muldowney JS (1996) A geometric approach to global stability problems. SIAM J Math Anal Appl 27:1070–1083 10.1137/s0036141094266449
[11]
Liu X, Yang L (2005) Stability analysis of an SEIQV epidemic model with saturated incidence rate. Nonlinear Anal Real World Appl 13:2671–2679 10.1016/j.nonrwa.2012.03.010
[12]
Lok AS, Heathcote EJ, Hoofnagle JH (2001) Management of hepatitis B, 2000- summary of a workshop. Gastroenterology 120:1828–1853 10.1053/gast.2001.24839
[13]
Mann J, Roberts M (2011) Modelling the epidemiology of hepatitis B in New Zealand. J Theor Biol 269(1):266–272 10.1016/j.jtbi.2010.10.028
[14]
Martin JH (1974) Logrithmic norms and projections applied to linear differential system. J Math Anal Appl 45:432–454 10.1016/0022-247x(74)90084-5
[15]
McMahon BJ (2005) Epidemiology and natural history of hepatitis B. Semin Liver Dis 25(Suppl 1):3–8 10.1055/s-2005-915644
[16]
Thornley S, Bullen C, Roberts M (2008) Hepatitis B in a high prevalence New Zealand population a mathematical model applied to infection control policy. J Theor Biol 254:599–603 10.1016/j.jtbi.2008.06.022
[17]
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

P. van den Driessche, James Watmough

Mathematical Biosciences 2002 10.1016/s0025-5564(02)00108-6
[18]
Van Den Driessche P, Watmough J (2008) Mathematical epidemiology. Springer, New York
[19]
WHO, Hepatitis B. Fact sheet No. 204. Updated June 2014. http://www.who.int/meadiacenter/factsheet/fs204/en/index.html . Revised Agust 2014
[20]
Zaman G, Kang YH, Jung IH (2008) Stability and optimal vaccination of an SIR epidemic model. BioSystems 93:240–249 10.1016/j.biosystems.2008.05.004
[21]
Zaman G, Kang YH, Jung IH (2009) Optimal treatment of an SIR epidemic model with time delay. Biosystems 98:43–50 10.1016/j.biosystems.2009.05.006
[22]
Zhao SJ, Xu ZY, Lu Y (2000) A mathematical model of hepatitis B virus transmission and its application for vaccination strategy in China. Int J Epidemiol 29(4):744–752 10.1093/ije/29.4.744
[23]
Zou L, Zhang W, Ruan S (2010) Modeling the transmission dynamics and control of Hepatitis B virus in China. J Theor Biol 262:330–338 10.1016/j.jtbi.2009.09.035
Metrics
44
Citations
23
References
Details
Published
Jul 15, 2016
Vol/Issue
5(1)
License
View
Cite This Article
Tahir Khan, Gul Zaman (2016). Classification of different Hepatitis B infected individuals with saturated incidence rate. SpringerPlus, 5(1). https://doi.org/10.1186/s40064-016-2706-3