Global stability of an epidemic model with carrier state in heterogeneous networks

[1]  Suh-Yuh Yang,et al.  Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks , 2014, Commun. Nonlinear Sci. Numer. Simul..

[2]  Jinde Cao,et al.  Impact of media coverage on epidemic spreading in complex networks , 2013, Physica A: Statistical Mechanics and its Applications.

[3]  Guanrong Chen,et al.  Global attractivity of a network-based epidemic SIS model with nonlinear infectivity , 2012 .

[4]  Yi Wang,et al.  Global analysis of an SIS model with an infective vector on complex networks , 2012 .

[5]  Chengyi Xia,et al.  An SIR model with infection delay and propagation vector in complex networks , 2012 .

[6]  Jianhong Wu,et al.  Multiple epidemic waves in delayed susceptible-infected-recovered models on complex networks. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Matt J. Keeling,et al.  Networks and the Epidemiology of Infectious Disease , 2010, Interdisciplinary perspectives on infectious diseases.

[8]  Fuzhong Nian,et al.  Efficient immunization strategies on complex networks. , 2010, Journal of theoretical biology.

[9]  Lan Zou,et al.  Modeling the transmission dynamics and control of hepatitis B virus in China. , 2010, Journal of theoretical biology.

[10]  Michael Y. Li,et al.  Global-stability problem for coupled systems of differential equations on networks , 2010 .

[11]  Xinchu Fu,et al.  Spreading of epidemics on scale-free networks with nonlinear infectivity , 2009 .

[12]  Zhien Ma,et al.  Modeling and dynamics of infectious diseases , 2009 .

[13]  Alberto d’Onofrio,et al.  A note on the global behaviour of the network-based SIS epidemic model , 2008 .

[14]  Lin Wang,et al.  Global Stability of Virus Spreading in Complex Heterogeneous Networks , 2008, SIAM J. Appl. Math..

[15]  Michael Y. Li,et al.  A graph-theoretic approach to the method of global Lyapunov functions , 2008 .

[16]  Z. Duan,et al.  An SIS model with infective medium on complex networks , 2008 .

[17]  M. Small,et al.  Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Roger Williams Global challenges in liver disease , 2006, Hepatology.

[19]  Wendi Wang Backward bifurcation of an epidemic model with treatment. , 2006, Mathematical biosciences.

[20]  Guanrong Chen,et al.  Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  D. Earn,et al.  Generality of the Final Size Formula for an Epidemic of a Newly Invading Infectious Disease , 2006, Bulletin of mathematical biology.

[22]  Yinghai Wang,et al.  Epidemic spreading with time delay in complex networks , 2005, physics/0508168.

[23]  Zhou Tao,et al.  Epidemic Spread in Weighted Scale-Free Networks , 2005 .

[24]  Jaewook Joo,et al.  Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Alessandro Vespignani,et al.  Velocity and hierarchical spread of epidemic outbreaks in scale-free networks. , 2003, Physical review letters.

[26]  Yukio Hayashi,et al.  Oscillatory epidemic prevalence in growing scale-free networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  Shigui Ruan,et al.  Dynamical behavior of an epidemic model with a nonlinear incidence rate , 2003 .

[28]  Reuven Cohen,et al.  Efficient immunization strategies for computer networks and populations. , 2002, Physical review letters.

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

[30]  Alessandro Vespignani,et al.  Immunization of complex networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  R. May,et al.  Infection dynamics on scale-free networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Alessandro Vespignani,et al.  Epidemic dynamics and endemic states in complex networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[34]  Liancheng Wang,et al.  Global Dynamics of an SEIR Epidemic Model with Vertical Transmission , 2001, SIAM J. Appl. Math..

[35]  Herbert W. Hethcote,et al.  The Mathematics of Infectious Diseases , 2000, SIAM Rev..

[36]  D S Callaway,et al.  Network robustness and fragility: percolation on random graphs. , 2000, Physical review letters.

[37]  O. Diekmann,et al.  Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation , 2000 .

[38]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

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

[40]  Yasuhiro Takeuchi,et al.  Global stability of an SIR epidemic model with time delays , 1995, Journal of mathematical biology.

[41]  Herbert W. Hethcote,et al.  An SIS epidemic model with variable population size and a delay , 1995, Journal of mathematical biology.

[42]  O. Diekmann,et al.  On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations , 1990, Journal of mathematical biology.

[43]  Roy M. Anderson,et al.  Transmission dynamics of HIV infection , 1987, Nature.

[44]  A. Klovdahl,et al.  Social networks and the spread of infectious diseases: the AIDS example. , 1985, Social science & medicine.

[45]  R. Watson,et al.  On the spread of a disease with gamma distributed latent and infectious periods , 1980 .

[46]  J. P. Lasalle The stability of dynamical systems , 1976 .

[47]  J. Yorke,et al.  A Deterministic Model for Gonorrhea in a Nonhomogeneous Population , 1976 .

[48]  J. Moon Counting labelled trees , 1970 .

[49]  D. Kendall On the Generalized "Birth-and-Death" Process , 1948 .

[50]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .