23
Views
75
CrossRef citations to date
0
Altmetric
Theoretical Paper

Optimal Control of Some Simple Deterministic Epidemic Models

&
Pages 129-136 | Published online: 19 Dec 2017

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (2)

Bing Sun & Mi-Xia Wu. (2013) Optimal control of age-structured population dynamics for spread of universally fatal diseases. Applicable Analysis 92:5, pages 901-921.
Read now
Tunde T. Yusuf & Francis Benyah. (2012) Optimal strategy for controlling the spread of HIV/AIDS disease: a case study of South Africa. Journal of Biological Dynamics 6:2, pages 475-494.
Read now

Articles from other publishers (73)

Franco Galante, Chiara Ravazzi, Michele Garetto & Emilio Leonardi. (2024) Planning Interventions in a Controlled Pandemic: The COVID-19 Case. IEEE Transactions on Network Science and Engineering 11:2, pages 2314-2331.
Crossref
Xu Sun & Yunan Liu. (2023) Optimal interventions of infectious disease. Naval Research Logistics (NRL) 71:1, pages 27-40.
Crossref
A. Gómez-Corral, M.J. Lopez-Herrero & D. Taipe. (2023) A Markovian epidemic model in a resource-limited environment. Applied Mathematics and Computation 458, pages 128252.
Crossref
Sha He, Sanyi Tang, Qimin Zhang, Libin Rong & Robert A. Cheke. (2023) Modelling optimal control of air pollution to reduce respiratory diseases. Applied Mathematics and Computation 458, pages 128223.
Crossref
Nishat Alam Choudhury, M. Ramkumar, Tobias Schoenherr & Shalabh Singh. (2023) The role of operations and supply chain management during epidemics and pandemics: Potential and future research opportunities. Transportation Research Part E: Logistics and Transportation Review 175, pages 103139.
Crossref
SHUANGSHUANG LIANG, SHENGFU WANG, LIN HU & LIN-FEI NIE. (2023) GLOBAL DYNAMICS AND OPTIMAL CONTROL FOR A VECTOR-BORNE EPIDEMIC MODEL WITH MULTI-CLASS-AGE STRUCTURE AND HORIZONTAL TRANSMISSION. Journal of Biological Systems 31:02, pages 375-416.
Crossref
Kundan Kandhway. (2023) Maximizing Spread of a Message in the Susceptible-Infected-Recovered Process. Maximizing Spread of a Message in the Susceptible-Infected-Recovered Process.
A. Gómez-Corral, M. J. Lopez-Herrero & D. Taipe. 2023. Computer Performance Engineering and Stochastic Modelling. Computer Performance Engineering and Stochastic Modelling 123 138 .
Flavio Toxvaerd & Robert Rowthorn. (2022) On the management of population immunity. Journal of Economic Theory 204, pages 105501.
Crossref
Joseph Chadi Lemaitre, Damiano Pasetto, Mario Zanon, Enrico Bertuzzo, Lorenzo Mari, Stefano Miccoli, Renato Casagrandi, Marino Gatto & Andrea Rinaldo. (2022) Optimal control of the spatial allocation of COVID-19 vaccines: Italy as a case study. PLOS Computational Biology 18:7, pages e1010237.
Crossref
Fouad El Ouardighi, Eugene Khmelnitsky & Suresh P. Sethi. (2022) Epidemic control with endogenous treatment capability under popular discontent and social fatigue. Production and Operations Management 31:4, pages 1734-1752.
Crossref
Xingru Chen & Feng Fu. (2022) Highly coordinated nationwide massive travel restrictions are central to effective mitigation and control of COVID-19 outbreaks in China. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478:2260.
Crossref
Florin Avram, Lorenzo Freddi & Dan Goreac. (2022) Optimal control of a SIR epidemic with ICU constraints and target objectives. Applied Mathematics and Computation 418, pages 126816.
Crossref
Emma Hubert, Thibaut Mastrolia, Dylan Possamaï & Xavier Warin. (2022) Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic. Journal of Mathematical Biology 84:5.
Crossref
Anwarud Din & Yongjin Li. (2022) Stochastic optimal analysis for the hepatitis B epidemic model with Markovian switching. Mathematical Methods in the Applied Sciences.
Crossref
Sushil Gupta, Martin K. StarrReza Zanjirani FarahaniNasrin Asgari. (2022) OM Forum—Pandemics/Epidemics: Challenges and Opportunities for Operations Management Research. Manufacturing & Service Operations Management 24:1, pages 1-23.
Crossref
Gülin Zeynep Öztaş, Aybars Bars, Volkan Genç & Sabri Erdem. 2022. Advances in Best-Worst Method. Advances in Best-Worst Method 228 237 .
Hippolyte d’Albis & Emmanuelle Augeraud-Véron. (2021) Optimal prevention and elimination of infectious diseases. Journal of Mathematical Economics 93, pages 102487.
Crossref
Wonjun Lee, Siting Liu, Hamidou Tembine, Wuchen Li & Stanley Osher. (2021) Controlling Propagation of Epidemics via Mean-Field Control. SIAM Journal on Applied Mathematics 81:1, pages 190-207.
Crossref
Suresh P. SethiSuresh P. Sethi. 2021. Optimal Control Theory. Optimal Control Theory 313 343 .
Alina Glaubitz & Feng Fu. (2020) Oscillatory dynamics in the dilemma of social distancing. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476:2243.
Crossref
Davide La Torre, Tufail Malik & Simone Marsiglio. (2020) Optimal control of prevention and treatment in a basic macroeconomic–epidemiological model. Mathematical Social Sciences 108, pages 100-108.
Crossref
E. H. Bussell & N. J. Cunniffe. (2020) Applying optimal control theory to a spatial simulation model of sudden oak death: ongoing surveillance protects tanoak while conserving biodiversity. Journal of The Royal Society Interface 17:165, pages 20190671.
Crossref
Alexey Piunovskiy, Alexander Plakhov & Mikhail Tumanov. (2019) Optimal impulse control of a SIR epidemic. Optimal Control Applications and Methods 41:2, pages 448-468.
Crossref
Romuald Elie, Emma Hubert & Gabriel Turinici. (2020) Contact rate epidemic control of COVID-19: an equilibrium view. Mathematical Modelling of Natural Phenomena 15, pages 35.
Crossref
E. H. Bussell, C. E. Dangerfield, C. A. Gilligan & N. J. Cunniffe. (2019) Applying optimal control theory to complex epidemiological models to inform real-world disease management. Philosophical Transactions of the Royal Society B: Biological Sciences 374:1776, pages 20180284.
Crossref
Naveed Chehrazi, Lauren E. Cipriano & Eva A. Enns. (2019) Dynamics of Drug Resistance: Optimal Control of an Infectious Disease. Operations Research 67:3, pages 619-650.
Crossref
Bruno Buonomo, Piero Manfredi & Alberto d’Onofrio. (2018) Optimal time-profiles of public health intervention to shape voluntary vaccination for childhood diseases. Journal of Mathematical Biology 78:4, pages 1089-1113.
Crossref
Suresh P. SethiSuresh P. Sethi. 2019. Optimal Control Theory. Optimal Control Theory 335 363 .
Bing Sun, Zhen-Zhen Tao & Yang-Yang Wang. 2019. Mathematics Applied to Engineering, Modelling, and Social Issues. Mathematics Applied to Engineering, Modelling, and Social Issues 363 420 .
Emma Hubert & Gabriel Turinici. (2018) Nash-MFG equilibrium in a SIR model with time dependent newborn vaccination. Ricerche di Matematica 67:1, pages 227-246.
Crossref
Evans Otieno Omondi, Titus Okello Orwa & Farai Nyabadza. (2018) Application of optimal control to the onchocerciasis transmission model with treatment. Mathematical Biosciences 297, pages 43-57.
Crossref
Charles Sims, David Finnoff & Suzanne M. O’Regan. (2016) Public control of rational and unpredictable epidemics. Journal of Economic Behavior & Organization 132, pages 161-176.
Crossref
Martin Vyska & Christopher Gilligan. (2016) Complex Dynamical Behaviour in an Epidemic Model with Control. Bulletin of Mathematical Biology 78:11, pages 2212-2227.
Crossref
Amy J. Ekanayake. (2016) Stochastic SIS metapopulation models for the spread of disease among species in a fragmented landscape. International Journal of Biomathematics 09:04, pages 1650055.
Crossref
Monica Betta, Marco Laurino, Andrea Pugliese, Giorgio Guzzetta, Alberto Landi & Piero Manfredi. (2016) Perspectives on optimal control of varicella and herpes zoster by mass routine varicella vaccination. Proceedings of the Royal Society B: Biological Sciences 283:1826, pages 20160054.
Crossref
Soheil Eshghi, M. H. R. Khouzani, Saswati Sarkar & Santosh S. Venkatesh. (2016) Optimal Patching in Clustered Malware Epidemics. IEEE/ACM Transactions on Networking 24:1, pages 283-298.
Crossref
Kazeem Oare Okosun, M. Mukamuri & Daniel Oluwole Makinde. (2016) Global stability analysis and control of leptospirosis. Open Mathematics 14:1, pages 567-585.
Crossref
Laetitia Laguzet & Gabriel Turinici. (2015) Global optimal vaccination in the SIR model: Properties of the value function and application to cost-effectiveness analysis. Mathematical Biosciences 263, pages 180-197.
Crossref
Kundan Kandhway & Joy Kuri. (2014) Optimal control of information epidemics modeled as Maki Thompson rumors. Communications in Nonlinear Science and Numerical Simulation 19:12, pages 4135-4147.
Crossref
Yinggao Zhou, Kuan Yang, Kai Zhou & Yiting Liang. (2014) Optimal Vaccination Policies for an SIR Model with Limited Resources. Acta Biotheoretica 62:2, pages 171-181.
Crossref
Kundan Kandhway & Joy Kuri. (2014) How to run a campaign: Optimal control of SIS and SIR information epidemics. Applied Mathematics and Computation 231, pages 79-92.
Crossref
Kazeem O. Okosun, Ouifki Rachid & Nizar Marcus. (2013) Optimal control strategies and cost-effectiveness analysis of a malaria model. Biosystems 111:2, pages 83-101.
Crossref
Sabina S. Alistar & Margaret L. Brandeau. (2010) Decision Making for HIV Prevention and Treatment Scale up. Medical Decision Making 32:1, pages 105-117.
Crossref
M. H. R. Khouzani, E. Altman & S. Sarkar. (2012) Optimal Quarantining of Wireless Malware Through Reception Gain Control. IEEE Transactions on Automatic Control 57:1, pages 49-61.
Crossref
Aditya Karnik & Pankaj Dayama. (2012) Optimal control of information epidemics. Optimal control of information epidemics.
K.O. Okosun, Rachid Ouifki & Nizar Marcus. (2011) Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity. Biosystems 106:2-3, pages 136-145.
Crossref
Mark Gersovitz. (2011) The Economics of Infection Control. Annual Review of Resource Economics 3:1, pages 277-296.
Crossref
Petra KlepacRamanan Laxminarayan & Bryan T. Grenfell. (2011) Synthesizing epidemiological and economic optima for control of immunizing infections. Proceedings of the National Academy of Sciences 108:34, pages 14366-14370.
Crossref
BRUNO BUONOMO. (2011) ON THE OPTIMAL VACCINATION STRATEGIES FOR HORIZONTALLY AND VERTICALLY TRANSMITTED INFECTIOUS DISEASES. Journal of Biological Systems 19:02, pages 263-279.
Crossref
V.L. Brown & K.A. Jane White. (2011) The role of optimal control in assessing the most cost-effective implementation of a vaccination programme: HPV as a case study. Mathematical Biosciences 231:2, pages 126-134.
Crossref
. (2011) A simple analysis of vaccination strategies for rubella. Mathematical Biosciences and Engineering 8:3, pages 677-687.
Crossref
Feng Lin, Kumar Muthuraman & Mark Lawley. (2010) An optimal control theory approach to non-pharmaceutical interventions. BMC Infectious Diseases 10:1.
Crossref
Martial L. Ndeffo Mbah & Christopher A. Gilligan. (2010) Balancing Detection and Eradication for Control of Epidemics: Sudden Oak Death in Mixed-Species Stands. PLoS ONE 5:9, pages e12317.
Crossref
Robert E. Rowthorn, Ramanan Laxminarayan & Christopher A. Gilligan. (2009) Optimal control of epidemics in metapopulations. Journal of The Royal Society Interface 6:41, pages 1135-1144.
Crossref
M.H.R. Khouzani, E. Altman & S. Sarkar. (2009) Optimal quarantining of wireless malware through power control. Optimal quarantining of wireless malware through power control.
Christopher A Gilligan. (2007) Sustainable agriculture and plant diseases: an epidemiological perspective. Philosophical Transactions of the Royal Society B: Biological Sciences 363:1492, pages 741-759.
Crossref
Mark Gersovitz & Jeffrey S. Hammer. (2005) Tax/subsidy policies toward vector-borne infectious diseases. Journal of Public Economics 89:4, pages 647-674.
Crossref
Margaret L. Brandeau. 2004. Operations Research and Health Care. Operations Research and Health Care 443 464 .
Peter J. Francis. (2004) Optimal tax/subsidy combinations for the flu season. Journal of Economic Dynamics and Control 28:10, pages 2037-2054.
Crossref
Mark Gersovitz & Jeffrey S. Hammer. (2004) The Economical Control of Infectious Diseases. The Economic Journal 114:492, pages 1-27.
Crossref
Margaret L. Brandeau, Gregory S. Zaric & Anke Richter. (2003) Resource allocation for control of infectious diseases in multiple independent populations: beyond cost-effectiveness analysis. Journal of Health Economics 22:4, pages 575-598.
Crossref
Gregory S. Zaric & Margaret L. Brandeau. (2001) Resource allocation for epidemic control over short time horizons. Mathematical Biosciences 171:1, pages 33-58.
Crossref
Margaret Brandeau. 2001. Encyclopedia of Optimization. Encyclopedia of Optimization 2209 2213 .
Anke Richter, Margaret L. Brandeau & Douglas K. Owens. (2016) An Analysis of Optimal Resource Allocation for Prevention of Infection with Human Immunodeficiency Virus (HIV) in Injection Drug Users and Non-Users. Medical Decision Making 19:2, pages 167-179.
Crossref
B. D. CravenB. D. Craven. 1995. Control and Optimization. Control and Optimization 110 127 .
B. D. CravenB. D. Craven. 1995. Control and Optimization. Control and Optimization 22 39 .
Richard Hartl & Alexander Mehlmann. (2006) On remuneration patterns for medical services. Optimal Control Applications and Methods 7:2, pages 185-193.
Crossref
G. Feichtinger. (1982) Anwendungen des Maximumprinzips im Operations Research, Teil 1. Operations-Research-Spektrum 4:3, pages 171-190.
Crossref
Jorge Gonzalez-Guzman. (1980) A mixed program for parasitic disease control. Journal of Mathematical Biology 10:1, pages 53-64.
Crossref
Cl. Lefevre. (1979) Optimal control of the simple stochastic epidemic with variable recovery rates. Mathematical Biosciences 44:3-4, pages 209-219.
Crossref
Fouad El Ouardighi, E. Khmelnitsky & Suresh Sethi. (2020) Control of an Epidemic With Endogenous Treatment Capability Under Popular Discontent and Social Fatigue. SSRN Electronic Journal.
Crossref
Naveed Chehrazi, Lauren E Cipriano & Eva E. Enns. (2017) Dynamics of Drug Resistance: Optimal Control of an Infectious Disease. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.