Optimal control problem of an SIR reaction-diffusion model with inequality constraints
暂无分享,去创建一个
[1] Julien Arino,et al. A model for influenza with vaccination and antiviral treatment. , 2008, Journal of theoretical biology.
[2] Jinde Cao,et al. Effect of time delay on pattern dynamics in a spatial epidemic model , 2014, Physica A: Statistical Mechanics and its Applications.
[3] A. Hatzakis,et al. Use of an inactivated vaccine in mitigating pandemic influenza A(H1N1) spread: a modelling study to assess the impact of vaccination timing and prioritisation strategies. , 2009, Euro surveillance : bulletin Europeen sur les maladies transmissibles = European communicable disease bulletin.
[4] E. Lyons,et al. Pandemic Potential of a Strain of Influenza A (H1N1): Early Findings , 2009, Science.
[5] David G. Luenberger,et al. Linear and nonlinear programming , 1984 .
[6] Gerardo Chowell,et al. Exploring optimal control strategies in seasonally varying flu-like epidemics. , 2017, Journal of theoretical biology.
[7] Wan-Tong Li,et al. A reaction–diffusion SIS epidemic model in an almost periodic environment , 2015 .
[8] Herbert W. Hethcote,et al. The Mathematics of Infectious Diseases , 2000, SIAM Rev..
[9] A. Settati,et al. Dynamics and optimal control of a non-linear epidemic model with relapse and cure , 2018 .
[10] Tianhu Yu,et al. Epidemic model with group mixing: Stability and optimal control based on limited vaccination resources , 2018, Commun. Nonlinear Sci. Numer. Simul..
[11] Zhen Jin,et al. Pattern transitions in spatial epidemics: Mechanisms and emergent properties , 2016, Physics of Life Reviews.
[12] J. Robins,et al. Transmission Dynamics and Control of Severe Acute Respiratory Syndrome , 2003, Science.
[13] Chao-hua,et al. An Optimal Control Problem of a Coupled Nonlinear Parabolic Population System , 2007 .
[14] N. Apreutesei,et al. An optimal control problem for a pest, predator, and plant system , 2012 .
[15] Suzanne Lenhart,et al. Optimal control of treatments in a two-strain tuberculosis model , 2002 .
[16] H. Kwon,et al. Optimal control of an influenza model with seasonal forcing and age-dependent transmission rates. , 2013, Journal of theoretical biology.
[17] Yuan Lou,et al. Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model , 2008 .
[18] Marcus R. Garvie,et al. Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System , 2007, SIAM J. Control. Optim..
[19] V. Barbu. Mathematical Methods in Optimization of Differential Systems , 1994 .
[20] Max Gunzburger,et al. Perspectives in flow control and optimization , 1987 .
[21] Zhongjun Ma,et al. Dynamic stability of an SIQS epidemic network and its optimal control , 2019, Commun. Nonlinear Sci. Numer. Simul..
[22] Narcisa C. Apreutesei. Necessary optimality conditions for three species reaction-diffusion system , 2011, Appl. Math. Lett..
[23] B. Adams,et al. HIV dynamics: Modeling, data analysis, and optimal treatment protocols , 2005 .
[24] John T. Workman,et al. Optimal Control Applied to Biological Models , 2007 .
[25] Fred Brauer,et al. Some simple epidemic models. , 2005, Mathematical biosciences and engineering : MBE.
[26] Settapat Chinviriyasit,et al. Numerical modelling of an SIR epidemic model with diffusion , 2010, Appl. Math. Comput..
[27] Jeehyun Lee,et al. Constrained optimal control applied to vaccination for influenza , 2016, Computers & Mathematics with Applications.
[28] Xiao-Qiang Zhao,et al. A reaction–diffusion malaria model with incubation period in the vector population , 2011, Journal of mathematical biology.
[29] G. Chowell,et al. Modeling Optimal Age-Specific Vaccination Strategies Against Pandemic Influenza , 2011, Bulletin of Mathematical Biology.
[30] Yanzhao Cao,et al. Optimal control of vector-borne diseases: Treatment and prevention , 2009 .
[31] Dexing Feng,et al. s10255-007-0378-z , 2007 .