Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
暂无分享,去创建一个
Aadil Lahrouz | Lahcen Omari | Driss Kiouach | Aziza Belmaâti | A. Lahrouz | L. Omari | D. Kiouach | Aziza Belmaâti
[1] Philip K Maini,et al. Non-linear incidence and stability of infectious disease models. , 2005, Mathematical medicine and biology : a journal of the IMA.
[2] A. M. Lyapunov. The general problem of the stability of motion , 1992 .
[3] S. Rush,et al. The complete heart-lead relationship in the Einthoven triangle. , 1968, The Bulletin of mathematical biophysics.
[4] Andrei Korobeinikov,et al. Lyapunov Functions and Global Stability for SIR and SIRS Epidemiological Models with Non-Linear Transmission , 2006, Bulletin of mathematical biology.
[5] G. Sallet,et al. Multi-compartment models , 2007 .
[6] Graeme C. Wake,et al. Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models , 2002, Appl. Math. Lett..
[7] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[8] Shigui Ruan,et al. Global analysis of an epidemic model with nonmonotone incidence rate , 2006, Mathematical Biosciences.
[9] 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.
[10] Y. Iwasa,et al. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models , 1986, Journal of Mathematical Biology.
[11] Herbert W. Hethcote,et al. The Mathematics of Infectious Diseases , 2000, SIAM Rev..
[12] Philip K Maini,et al. A lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence. , 2004, Mathematical biosciences and engineering : MBE.
[13] Shigui Ruan,et al. Dynamical behavior of an epidemic model with a nonlinear incidence rate , 2003 .
[14] Vincenzo Capasso,et al. On the general structure of epidemic systems. Global asymptotic stability , 1986 .
[15] A. Lahrouz,et al. Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model , 2011 .
[16] P K Maini,et al. Estimation of effective vaccination rate: pertussis in New Zealand as a case study. , 2003, Journal of theoretical biology.
[17] Aadil Lahrouz,et al. Deterministic and stochastic stability of a mathematical model of smoking , 2011 .
[18] Shigui Ruan,et al. Simulating the SARS outbreak in Beijing with limited data , 2003, Journal of Theoretical Biology.
[19] Herbert W. Hethcote,et al. Dynamic models of infectious diseases as regulators of population sizes , 1992, Journal of mathematical biology.
[20] G. Serio,et al. A generalization of the Kermack-McKendrick deterministic epidemic model☆ , 1978 .