Journal ArticleDOI
Optimal control for pandemic influenza: The role of limited antiviral treatment and isolation
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TLDR
The implementation of optimal control strategies involving antiviral treatment and/or isolation measures can reduce significantly the number of clinical cases of influenza and can reduce the pressures placed on the health care infrastructure by a pandemic reducing the stress put on the system during epidemic peaks.About:
This article is published in Journal of Theoretical Biology.The article was published on 2010-07-21. It has received 111 citations till now. The article focuses on the topics: Pandemic & Antiviral drug.read more
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Journal ArticleDOI
Evidence compendium and advice on social distancing and other related measures for response to an influenza pandemic
Harunor Rashid,Iman Ridda,Iman Ridda,Catherine K. King,Matthew Begun,Hatice Tekin,James G. Wood,Robert Booy,Robert Booy +8 more
TL;DR: A systematised review of the role of school or work place-based interventions, case-based distancing (self-isolation, quarantine), and restriction of mobility and mass gatherings against pandemic influenza finds school closure appears to be moderately effective and acceptable in reducing the transmission of influenza and in delaying the peak of an epidemic.
Posted ContentDOI
Optimal COVID-19 epidemic control until vaccine deployment
TL;DR: This work uses optimal control theory to explore the best strategy to implement while waiting for the vaccine and finds that such a solution leads to an increasing level of control with a maximum reached near the fourth month of the epidemics and a steady decrease until vaccine deployment.
Journal ArticleDOI
Modeling optimal age-specific vaccination strategies against pandemic influenza.
TL;DR: A mathematical model that incorporates age-structured transmission dynamics of influenza to evaluate optimal vaccination strategies in the epidemiological context of the Spring 2009 A (H1N1) pandemic in Mexico indicates that optimal age-specific vaccination rates are significantly associated with the amount of vaccines available and the timing of vaccination.
Journal ArticleDOI
Modeling the role of information and limited optimal treatment on disease prevalence.
TL;DR: Comprehensive use of both the control interventions is more effective than any single applied control policy and it reduces the number of infective individuals and minimizes the economic cost generated from disease burden and applied controls.
Journal ArticleDOI
The role of residence times in two-patch dengue transmission dynamics and optimal strategies
Sunmi Lee,Carlos Castillo-Chavez +1 more
TL;DR: Optimal control theory is used to identify and evaluate patch-specific control measures aimed at reducing dengue prevalence in humans and vectors at a minimal cost and focuses on intervention that target areas where individuals spend "most" time or where transmissibility is higher turn out to be optimal.
References
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Book
Mathematical Theory of Optimal Processes
TL;DR: The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems as discussed by the authors, which can be applied in a variety of situations, including linear equations with variable coefficients.
Journal ArticleDOI
The Mathematical Theory of Optimal Processes
Richard Bellman,L. S. Pontryagin,V. G. Boltyanskii,Revaz Valerianovich Gamkrelidze,E. F. Mishchenko,K. N. Trirogoff,Lucien W. Neustadt +6 more
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Detecting influenza epidemics using search engine query data
Jeremy Ginsberg,Matthew H. Mohebbi,Rajan Patel,Lynnette Brammer,Mark S. Smolinski,Lawrence B. Brilliant +5 more
TL;DR: A method of analysing large numbers of Google search queries to track influenza-like illness in a population and accurately estimate the current level of weekly influenza activity in each region of the United States with a reporting lag of about one day is presented.
Book
Deterministic and stochastic optimal control
TL;DR: In this paper, the authors considered the problem of optimal control of Markov diffusion processes in the context of calculus of variations, and proposed a solution to the problem by using the Euler Equation Extremals.
Book
Mathematical Models in Population Biology and Epidemiology
TL;DR: This paper presents a series of models for continuous single-species and multi-species population models, and a model forStructured Population Models, which combines continuous and discrete models for populations with spatial distribution.