Stability of a fractional HIV/AIDS model
Tóm tắt
Từ khóa
Tài liệu tham khảo
Aguila-Camacho, 2014, Lyapunov functions for fractional order systems, Commun. Nonlinear Sci. Numer. Simul., 19, 2951, 10.1016/j.cnsns.2014.01.022
Ahmed, 2007, Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models, J. Math. Anal. Appl., 325, 542, 10.1016/j.jmaa.2006.01.087
Ahmed, 2007, On fractional order differential equations model for nonlocal epidemics, Physica A, 379, 607, 10.1016/j.physa.2007.01.010
Almeida, 2015, xii+266
Caputo, 2008, Linear models of dissipation whose Q is almost frequency independent. II, Fract. Calc. Appl. Anal., 11, 4
Delavari, 2012, Stability analysis of Caputo fractional-order nonlinear systems revisited, Nonlinear Dynam., 67, 2433, 10.1007/s11071-011-0157-5
Diethelm, 2010, vol. 2004, viii+247
Diethelm, 2004, Detailed error analysis for a fractional Adams method, Numer. Algorithms, 36, 31, 10.1023/B:NUMA.0000027736.85078.be
Diethelm, 1999, The FracPECE subroutine for the numerical solution of differential equations of fractional order, 57
Ding, 2009, A fractional-order differential equation model of HIV infection of CD4+ T-cells, Math. Comput. Modelling, 50, 386, 10.1016/j.mcm.2009.04.019
Garrappa, 2010, On linear stability of predictor-corrector algorithms for fractional differential equations, Int. J. Comput. Math., 87, 2281, 10.1080/00207160802624331
R. Garrappa, Predictor-corrector PECE method for fractional differential equations, MATLAB Central File Exchange (2011) File ID: 32918.
George, 1995, The Adomian method applied to some extraordinary differential equations, Appl. Math. Lett., 8, 91, 10.1016/0893-9659(95)00036-P
Guo, 2017, The stability of the positive solution for a fractional SIR model, Int. J. Biomath., 10, 1750014, 10.1142/S1793524517500140
Li, 2009, Mittag-Leffler stability of fractional order nonlinear dynamic systems, Autom. J. IFAC, 45, 1965, 10.1016/j.automatica.2009.04.003
Li, 2011, A survey on the stability of fractional differential equations, Eur. Phys. J. Spec. Top., 193, 27, 10.1140/epjst/e2011-01379-1
Matignon, 1996, Stability results for fractional differential equations with applications to control processing, 963
Owolabi, 2017, Spatiotemporal dynamics of fractional predator–prey system with stage structure for the predator, Int. J. Appl. Comput. Math., 3, 903, 10.1007/s40819-017-0389-2
Özalp, 2011, A fractional order SEIR model with vertical transmission, Math. Comput. Modelling, 54, 1, 10.1016/j.mcm.2010.12.051
Pinto, 2013, Fractional model for malaria transmission under control strategies, Comput. Math. Appl., 66, 908, 10.1016/j.camwa.2012.11.017
Podlubny, 1999, vol. 198, xxiv+340
Rivero, 2013, Stability of fractional order systems, Math. Probl. Eng., 356215
Rosa, 2018, Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection, Chaos Solitons Fractals, 117, 142, 10.1016/j.chaos.2018.10.021
Saeedian, 2017, Memory effects on epidemic evolution: the susceptible-infected-recovered epidemic model, Phys. Rev. E, 95, 022409, 10.1103/PhysRevE.95.022409
Silva, 2015, A TB-HIV/AIDS coinfection model and optimal control treatment, Discrete Contin. Dyn. Syst., 35, 4639, 10.3934/dcds.2015.35.4639
Silva, 2017, A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde, Ecol. Complex., 30, 70, 10.1016/j.ecocom.2016.12.001
Silva, 2018, Global stability for a HIV/AIDS model, Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat., 67, 93, 10.1501/Commua1_0000000833
Silva, 2018, Modeling and optimal control of HIV/AIDS prevention through PrEP, Discrete Contin. Dyn. Syst., 11, 119, 10.3934/dcdss.2018008
Vargas-De-León, 2015, Volterra-type Lyapunov functions for fractional-order epidemic systems, Commun. Nonlinear Sci. Numer. Simul., 24, 75, 10.1016/j.cnsns.2014.12.013
Wei, 2014, General output feedback stabilization for fractional order systems: an LMI approach, Abstr. Appl. Anal., 737495
Wei, 2014, Observation of a class of disturbance in time series expansion for fractional order systems, Abstr. Appl. Anal., 874943