Optimal Control for a SIR Epidemic Model with Nonlinear Incidence Rate
Math. Model. Nat. Phenom., 11 4 (2016) 89-104
Published online: 2016-07-19
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Physics-informed neural networks for optimal vaccination plan in SIR epidemic models
Minseok Kim, Yeongjong Kim and Yeoneung KimMathematical Biosciences and Engineering 22 (7) 1598 (2025)
https://doi.org/10.3934/mbe.2025059
Global dynamics and optimal control strategies for the brucellosis model with environmental saturation infection: An assessment of severely affected provinces in China
Caihong Song and Zigen SongMathematics and Computers in Simulation 236 379 (2025)
https://doi.org/10.1016/j.matcom.2025.04.008
On the Optimal Vaccination Control of SIR Model with Erlang-Distributed Infectious Period
Luca Bolzoni and Rossella Della MarcaJournal of Optimization Theory and Applications 205 (2) (2025)
https://doi.org/10.1007/s10957-025-02645-0
On a minimum eradication time for the SIR model with time-dependent coefficients
Jiwoong Jang and Yeoneung KimProceedings of the American Mathematical Society 153 (7) 2965 (2025)
https://doi.org/10.1090/proc/17156
Fuzzy Dynamic Optimal Model for COVID-19 Epidemic in India Based on Granular Differentiability
Debnarayan Khatua, Anupam De, Samarjit Kar, Eshan Samanta, Arif Ahmed Sekh and Debashree Guha AdhyaJournal of Shanghai Jiaotong University (Science) 30 (3) 545 (2025)
https://doi.org/10.1007/s12204-023-2642-7
Extensibility of Solutions of Nonautonomous Systems of Quadratic Differential Equations and Their Application in Optimal Control Problems
E. N. KhailovProceedings of the Steklov Institute of Mathematics 325 (S1) S123 (2024)
https://doi.org/10.1134/S008154382403009X
01 (2024)
https://doi.org/10.1109/ICDCECE60827.2024.10548100
Analysis of an optimal control problem for a spatio‐temporal SIR model with nonlinear density dependent diffusion terms
Mohamed Mehdaoui, Abdesslem Lamrani Alaoui and Mouhcine TiliouaOptimal Control Applications and Methods 44 (4) 2227 (2023)
https://doi.org/10.1002/oca.2976
Isolation‐oriented Lyapunov‐based design of simultaneous feedback strategies for disease control of SIQR
Hiroshi ItoInternational Journal of Robust and Nonlinear Control 32 (16) 8767 (2022)
https://doi.org/10.1002/rnc.6309
Optimal epidemic suppression under an ICU constraint: An analytical solution
Laurent Miclo, Daniel Spiro and Jörgen WeibullJournal of Mathematical Economics 101 102669 (2022)
https://doi.org/10.1016/j.jmateco.2022.102669
1 (2021)
https://doi.org/10.1109/ICCIA52082.2021.9403558
Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate
Zohreh Abbasi, Iman Zamani, Amir Hossein Amiri Mehra, Asier Ibeas, Mohsen Shafieirad and Andrei KorobeinikovComputational and Mathematical Methods in Medicine 2021 1 (2021)
https://doi.org/10.1155/2021/4348910
On analysis and optimal control of a SEIRI epidemic model with general incidence rate
Hassan Aghdaoui, Abdesslem Lamrani Alaoui, Kottakkaran Sooppy Nisar and Mouhcine TiliouaResults in Physics 20 103681 (2021)
https://doi.org/10.1016/j.rinp.2020.103681
Application of Optimal Control of Infectious Diseases in a Model-Free Scenario
Erivelton G. Nepomuceno, Márcia L. C. Peixoto, Márcio J. Lacerda, Andriana S. L. O. Campanharo, Ricardo H. C. Takahashi and Luis A. AguirreSN Computer Science 2 (5) (2021)
https://doi.org/10.1007/s42979-021-00794-3
Mittag-Leffler stability and bifurcation of a nonlinear fractional model with relapse
Aadil Lahrouz, Riane Hajjami, Mustapha El Jarroudi and Adel SettatiJournal of Computational and Applied Mathematics 386 113247 (2021)
https://doi.org/10.1016/j.cam.2020.113247
Optimal Controls of the Highly Active Antiretroviral Therapy
Ellina V. Grigorieva, Evgenii N. Khailov and Andrei KorobeinikovAbstract and Applied Analysis 2020 1 (2020)
https://doi.org/10.1155/2020/8107106
Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2
A. S. Fokas, N. Dikaios and G. A. KastisJournal of The Royal Society Interface 17 (169) 20200494 (2020)
https://doi.org/10.1098/rsif.2020.0494
Optimal CAR T-cell Immunotherapy Strategies for a Leukemia Treatment Model
Evgenii Khailov, Ellina Grigorieva and Anna KlimenkovaGames 11 (4) 53 (2020)
https://doi.org/10.3390/g11040053
(2020)
https://doi.org/10.1101/2020.05.02.20088591
Reducing vaccination level to eradicate a disease by means of a mixed control with isolation
Erivelton G. Nepomuceno, Ricardo H.C. Takahashi and Luis A. AguirreBiomedical Signal Processing and Control 40 83 (2018)
https://doi.org/10.1016/j.bspc.2017.09.004
Optimal Control for an SEIR Epidemic Model with Nonlinear Incidence Rate
Ellina Grigorieva, Evgenii Khailov and Andrei KorobeinikovStudies in Applied Mathematics 141 (3) 353 (2018)
https://doi.org/10.1111/sapm.12227
The global dynamics for a stochastic SIS epidemic model with isolation
Yiliang Chen, Buyu Wen and Zhidong TengPhysica A: Statistical Mechanics and its Applications 492 1604 (2018)
https://doi.org/10.1016/j.physa.2017.11.085