Mathematical modeling of hepatitis B infection with vaccination and optimal control interventions

[1]  John T. Workman,et al.  Optimal Control Applied to Biological Models , 2007 .

[2]  C. Bullen,et al.  Hepatitis B in a high prevalence New Zealand population: a mathematical model applied to infection control policy. , 2008, Journal of theoretical biology.

[3]  Ebenezer Bonyah,et al.  A theoretical model for Zika virus transmission , 2017, PloS one.

[4]  D. Kirschner,et al.  A methodology for performing global uncertainty and sensitivity analysis in systems biology. , 2008, Journal of theoretical biology.

[5]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[6]  B. Buonomo,et al.  Global stability for an HIV-1 infection model including an eclipse stage of infected cells , 2011, Journal of Mathematical Analysis and Applications.

[7]  M. Khan,et al.  CONTROL STRATEGIES OF HEPATITIS B WITH THREE CONTROL VARIABLES , 2018 .

[8]  James S. Muldowney,et al.  A Geometric Approach to Global-Stability Problems , 1996 .

[9]  Muhammad Altaf Khan,et al.  On the dynamics of HIV-AIDS and cryptosporidiosis , 2017 .

[10]  D J Nokes,et al.  The transmission dynamics and control of hepatitis B virus in The Gambia. , 1996, Statistics in medicine.

[11]  Colin W Shepard,et al.  Hepatitis B virus infection: epidemiology and vaccination. , 2006, Epidemiologic reviews.

[12]  B. Neal,et al.  A systematic review of economic evaluations of population-based sodium reduction interventions , 2017, PloS one.

[13]  Robert H. Martin Logarithmic norms and projections applied to linear differential systems , 1974 .

[14]  Jianhua Pang,et al.  Dynamical behavior of a hepatitis B virus transmission model with vaccination. , 2010, Journal of theoretical biology.

[15]  James S. Muldowney,et al.  On R.A. Smith's Autonomous Convergence Theorem , 1995 .

[16]  Weinian Zhang,et al.  On the sexual transmission dynamics of hepatitis B virus in China. , 2015, Journal of theoretical biology.

[17]  Soulaymen Kammoun,et al.  Modelling and analysis of transient state during improved coupling procedure with the grid for DFIG based wind turbine generator , 2017 .

[18]  J. C. Burkill,et al.  Ordinary Differential Equations , 1964 .

[19]  Saeed Islam,et al.  Media coverage campaign in Hepatitis B transmission model , 2018, Appl. Math. Comput..

[20]  Graham F. Medley,et al.  Hepatitis-B virus endemicity: heterogeneity, catastrophic dynamics and control , 2001, Nature Medicine.