Dynamical analysis of a fractional SIR model with birth and death on heterogeneous complex networks
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[1] Jinde Cao,et al. A note on global stability of the virose equilibrium for network-based computer viruses epidemics , 2014, Appl. Math. Comput..
[2] R. Bagley,et al. On the Appearance of the Fractional Derivative in the Behavior of Real Materials , 1984 .
[3] R. Bagley,et al. Fractional order state equations for the control of viscoelasticallydamped structures , 1991 .
[4] J. Liu,et al. The spread of disease with birth and death on networks , 2004, q-bio/0402042.
[5] Mikael Enelund,et al. Fractional Derivative Viscoelasticity at Large Deformations , 2003 .
[6] Yongsheng Ding,et al. A fractional-order differential equation model of HIV infection of CD4+ T-cells , 2009, Math. Comput. Model..
[7] J. Moon. Counting labelled trees , 1970 .
[8] I. Podlubny. Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .
[9] Michael Y. Li,et al. Global-stability problem for coupled systems of differential equations on networks , 2010 .
[10] C. Vargas‐De‐León,et al. Volterra-type Lyapunov functions for fractional-order epidemic systems , 2015 .
[11] Graeme C. Wake,et al. Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models , 2002, Appl. Math. Lett..
[12] E. Ahmed,et al. On fractional order differential equations model for nonlocal epidemics , 2007, Physica A: Statistical Mechanics and its Applications.
[13] Benito M. Chen-Charpentier,et al. A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1) , 2014 .
[14] Elisa F. Long,et al. HIV epidemic control—a model for optimal allocation of prevention and treatment resources , 2014, Health care management science.
[15] Hongyong Zhao,et al. The effect of vaccines on backward bifurcation in a fractional order HIV model , 2015 .
[16] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[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] S. Islam,et al. Stability analysis of a general SIR epidemic model , 2013 .
[19] Marina V. Shitikova,et al. Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems , 1997 .
[20] Maoxing Liu,et al. Global stability analysis of an SIR epidemic model with demographics and time delay on networks , 2014 .
[21] C. F. Lorenzo,et al. Chaos in a fractional order Chua's system , 1995 .
[22] A. Stanislavsky,et al. Memory effects and macroscopic manifestation of randomness. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[23] Alessandro Vespignani,et al. Epidemic spreading in scale-free networks. , 2000, Physical review letters.
[24] Robert J. Plemmons,et al. Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.
[25] Ye Yan,et al. Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay , 2012, Math. Comput. Simul..
[26] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[27] Jitao Sun,et al. Stability analysis of an SIS epidemic model with feedback mechanism on networks , 2014 .