Complex Dynamics of an SIR Epidemic Model with Saturated Incidence Rate and Treatment
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[1] Wendi Wang. Backward bifurcation of an epidemic model with treatment. , 2006, Mathematical biosciences.
[2] G. Serio,et al. A generalization of the Kermack-McKendrick deterministic epidemic model☆ , 1978 .
[3] Khalid Hattaf,et al. Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment , 2015, Acta biotheoretica.
[4] Soovoojeet Jana,et al. Application of three controls optimally in a vector-borne disease - a mathematical study , 2013, Commun. Nonlinear Sci. Numer. Simul..
[5] S. C. Mpeshe,et al. Optimal Control and Sensitivity Analysis of an Influenza Model with Treatment and Vaccination , 2011, Acta biotheoretica.
[6] N. G. Parke,et al. Ordinary Differential Equations. , 1958 .
[7] J. Watmough,et al. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.
[8] Zhilan Feng,et al. Homoclinic Bifurcation in an SIQR Model for Childhood Diseases , 2000 .
[9] Oluwole Daniel Makinde,et al. Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy , 2007, Appl. Math. Comput..
[10] James S. Muldowney,et al. A Geometric Approach to Global-Stability Problems , 1996 .
[11] Deborah Lacitignola,et al. On the backward bifurcation of a vaccination model with nonlinear incidence , 2011 .
[12] Xianning Liu,et al. Backward bifurcation of an epidemic model with saturated treatment function , 2008 .
[13] Soovoojeet Jana,et al. Complex dynamics of an epidemic model with vaccination and treatment controls , 2016 .
[14] Zhipeng Qiu,et al. Transmission Dynamics of an Influenza Model with Vaccination and Antiviral Treatment , 2010, Bulletin of mathematical biology.
[15] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[16] Zhen Jin,et al. Bifurcation analysis of a delayed epidemic model , 2010, Appl. Math. Comput..
[17] Joydip Dhar,et al. Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate , 2012 .
[18] Zhenqing Li,et al. Complex dynamics of a reaction–diffusion epidemic model , 2012 .
[19] Bilal Ilyas,et al. TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL , 1995 .
[20] H. Thieme,et al. Recurrent outbreaks of childhood diseases revisited: the impact of isolation. , 1995, Mathematical biosciences.
[21] Shigui Ruan,et al. Analysis of SIR epidemic models with nonlinear incidence rate and treatment. , 2012, Mathematical biosciences.
[22] Kai Zhou,et al. Optimal Vaccination Policies for an SIR Model with Limited Resources , 2014, Acta biotheoretica.
[23] Julien Arino,et al. An epidemiology model that includes a leaky vaccine with a general waning function , 2004 .
[24] L. S. Pontryagin,et al. Mathematical Theory of Optimal Processes , 1962 .
[25] Meng Fan,et al. Dynamics of an SIR epidemic model with limited medical resources revisited , 2012 .
[26] Robert H. Martin. Logarithmic norms and projections applied to linear differential systems , 1974 .
[27] Seyed M. Moghadas,et al. A qualitative study of a vaccination model with non-linear incidence , 2003, Appl. Math. Comput..
[28] Soovoojeet Jana,et al. A mathematical study of a prey–predator model in relevance to pest control , 2013 .
[29] Kazeem O. Okosun,et al. Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity , 2011, Biosyst..
[30] W. Eckalbar,et al. Dynamics of an epidemic model with quadratic treatment , 2011 .
[31] Soovoojeet Jana,et al. A theoretical study on mathematical modelling of an infectious disease with application of optimal control , 2013, Biosyst..
[32] Maia Martcheva,et al. SEROTYPE REPLACEMENT OF VERTICALLY TRANSMITTED DISEASES THROUGH PERFECT VACCINATION , 2008 .
[33] Jia Li,et al. Modeling the Effectiveness of Isolation Strategies in Preventing STD Epidemics , 1998, SIAM J. Appl. Math..
[34] Deborah Lacitignola,et al. Global stability of an SIR epidemic model with information dependent vaccination. , 2008, Mathematical biosciences.