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An epidemic model for cholera with optimal control treatment

Ana P. Lemos-Paião, Cristiana J. Silva, Delfim F.M. Torres
2017 Journal of Computational and Applied Mathematics  
An optimal control problem is proposed and analyzed, whose goal is to obtain a successful treatment through quarantine.  ...  We propose a mathematical model for cholera with treatment through quarantine. The model is shown to be both epidemiologically and mathematically well posed.  ...  Optimal control problem In this section, we propose and analyze an optimal control problem applied to cholera dynamics described by model (1) .  ... 
doi:10.1016/ fatcat:rto2u6bxzbhvbgme6mu3e3o54a

Best practice assessment of disease modelling for infectious disease outbreaks

Z. F. Dembek, T. Chekol, A. Wu
2018 Epidemiology and Infection  
We review epidemiological models created for diseases which are of greatest concern for public health protection.  ...  We examine disease-specific models to determine best practices characterising infectious disease outbreaks and facilitating emergency response and implementation of public health policy and disease control  ...  Centers for Disease Control and Prevention, Dr Dana Meranus of Battelle, and Dr Kierstyn Schwartz of ARA, for their helpful comments.  ... 
doi:10.1017/s095026881800119x pmid:29734964 pmcid:PMC9134297 fatcat:ggp53zdhw5g65ct4r5oaxtxeoy

Resource deployment and donation allocation for epidemic outbreaks

Azrah Anparasan, Miguel Lejeune
2017 Annals of Operations Research  
The model is based on the 2010 cholera outbreak in Haiti and is general enough to be used for similar epidemic outbreaks.  ...  We propose an epidemic response model in resource-limited countries that determines the number, size, and location of treatment facilities, deploys critical medical staff, locates ambulances to triage  ...  In this paper, we propose an epidemic response model whose objective is to control an outbreak.  ... 
doi:10.1007/s10479-016-2392-0 fatcat:7fjkcvc5fzcvjhjbxpaeekbb6i

Disease and disaster: Optimal deployment of epidemic control facilities in a spatially heterogeneous population with changing behaviour

Katy Gaythorpe, Ben Adams
2016 Journal of Theoretical Biology  
So sequential improvement of a control strategy by adding facilities to an existing optimal conguration does not always produce another optimal conguration.  ...  We show that, if the presence of control facilities does not aect behaviour, a good general rule for responsive deployment to minimise epidemic size is to place them in exactly the locations where they  ...  Several mathematical modelling studies have examined the eects of these control measures on cholera epidemics.  ... 
doi:10.1016/j.jtbi.2016.03.006 pmid:26992574 fatcat:2nbspiqekjetffhklyomq44mx4

An Optimal Cost Effectiveness Study on Zimbabwe Cholera Seasonal Data from 2008–2011

Tridip Sardar, Soumalya Mukhopadhyay, Amiya Ranjan Bhowmick, Joydev Chattopadhyay, Alessandro Vespignani
2013 PLoS ONE  
We also determine an optimal cost-effective control strategy among the four government undertaken interventions namely promoting handhygiene & clean water distribution, vaccination, treatment and sanitation  ...  We formulate a compartmental mathematical model with periodic slowfast transmission rate to study such recurrent occurrences and fitted the model to cumulative cholera cases and deaths for different provinces  ...  Acknowledgments The authors are grateful to the Academic Editor Alessandro Vespignani and the learned reviewers for their comments and suggestions on the earlier version of the paper.  ... 
doi:10.1371/journal.pone.0081231 pmid:24312540 pmcid:PMC3849194 fatcat:kemyrc3hdzahjosv3agi52jqnm

Optimal control model for the outbreak of cholera in Nigeria

A. O. Isere,, J. E. Osemwenkhae,, D. Okuonghae
2014 African Journal of Mathematics and Computer Science Research  
The second model is an optimal control model that includes two time-dependent control functions with one minimizing the contact between the susceptible and the bacteria and the other, the population of  ...  The results from the numerical solutions of the models presented showed that increasing the susceptible pool and the infected population above some threshold values were responsible for epidemic cholera  ...  term and an optimal control model with time dependent control functions incorporated.  ... 
doi:10.5897/ajmcsr2013.0527 fatcat:ke6lsp7rvnfkhdddukuiaazdrm

A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen

Ibrahim M Hezam, Abdelaziz Foul, Adel Alrasheedi
2021 Advances in Difference Equations  
Moreover, we present an optimal control model for minimizing both the number of infected people and the cost associated with each control.  ...  The results obtained confirm that the policy of providing resources for the distribution of CWTs, providing sufficient resources for testing with an average social distancing, and quarantining of infected  ...  Authors' information Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.  ... 
doi:10.1186/s13662-021-03271-6 pmid:33613669 pmcid:PMC7883970 fatcat:mirdqjkjffeqdhn7ruqv2wwxg4

The potential impact of case-area targeted interventions in response to cholera outbreaks: A modeling study

Flavio Finger, Enrico Bertuzzo, Francisco J. Luquero, Nathan Naibei, Brahima Touré, Maya Allan, Klaudia Porten, Justin Lessler, Andrea Rinaldo, Andrew S. Azman, Lorenz von Seidlein
2018 PLoS Medicine  
Lausanne, Lausanne, Switzerland) for their help with the translation of the abstract to French.  ...  Acknowledgments We thank staff from the Ministry of Public Health of the Republic of Chad, MSF, and Solidarités International for their support. In addition, we thank Dr.  ...  households differed by intervention type, with antibiotics having an optimal radius of 30 m to 45 m compared to 70 m to 100 m for oral cholera vaccine and point-of-use water treatment.  ... 
doi:10.1371/journal.pmed.1002509 pmid:29485987 pmcid:PMC5828347 fatcat:pxxyzg3mafh4peo6kduslopqiu

Modeling Optimal Control of Cholera Disease Under the Interventions of Vaccination, Treatment and Education Awareness

Hellen Namawejje, Emmanuel Obuya, Livingstone S. Luboobi
2018 Journal of Mathematics Research  
We present and analyze a cholera model with controls: u1 for vaccination of the human population, u2 for treatment and u3 for health education campaigns.  ...  In this paper we formulate and analyze a mathematical model of the dynamics and optimal con- trol strategies for cholera epidemic.  ...  We have presented and analyzed a cholera model with controls, u 1 for vaccination of the human population, u 2 for treatment and u 3 for health education campaigns.  ... 
doi:10.5539/jmr.v10n5p137 fatcat:4vo3pc4t6nafdhwq6vwkz6mkeu

Cholera's western front

Jason B Harris, Regina C LaRocque, Richelle C Charles, Ramendra N Mazumder, Azharul I Khan, Pradip K Bardhan
2010 The Lancet  
Here, we review the Haitian outbreak in the context of other recent cholera epidemics and discuss on-the-ground strategies for optimizing cholera case management.  ...  Through our work with non-governmental organizations and governmental agencies, we have been involved firsthand with the developing response to the cholera epidemic in Haiti.  ...  RNM, AIK, and PKB worked in Haiti with Project Hope, the Centers for Disease Control and Prevention, and the Pan American Health Organization.  ... 
doi:10.1016/s0140-6736(10)62172-1 pmid:21112083 pmcid:PMC4815911 fatcat:tyzebywji5h7dh4vofutfimkci

Optimal allocation of the limited oral cholera vaccine supply between endemic and epidemic settings

Sean M. Moore, Justin Lessler
2015 Journal of the Royal Society Interface  
Hence, the number of cholera cases or deaths prevented in an endemic setting represents the minimum utility of these doses, and the optimal risk-averse response to any reactive vaccination request (i.e  ...  The World Health Organization (WHO) recently established a global stockpile of oral cholera vaccine (OCV) to be preferentially used in epidemic response (reactive campaigns) with any vaccine remaining  ...  We thank Andrew Azman and the Infectious Disease Dynamics group at Johns Hopkins University for valuable comments on the manuscript.  ... 
doi:10.1098/rsif.2015.0703 pmid:26423441 pmcid:PMC4614506 fatcat:e7son24gbfapjpd6iqik2tquhu

Stability Analysis and Optimal Control of a Fractional Cholera Epidemic Model

Yanyan He, Zhen Wang
2022 Fractal and Fractional  
Furthermore, an optimal strategy was discussed, which minimized the total number of infected individuals and the costs associated with control.  ...  In this paper, a fractional model for the transmission dynamics of cholera was developed. In invariant regions of the model, solutions were generated.  ...  In addition, few people apply fractional order to the optimal control of cholera epidemic models. The rest of the paper is organized as follows.  ... 
doi:10.3390/fractalfract6030157 fatcat:6q47zhr7tbelhcyqgnwpp5wmhe

Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study

Obiora Cornelius Collins, Kevin Jan Duffy
2018 Journal of Applied Mathematics  
Optimal control theory is utilized to determine how to reduce the spread of a disease with minimum cost. The model is validated using a cholera outbreak in Haiti.  ...  The model is extended by introducing control intervention strategies such as vaccination, treatment, and water purification.  ...  Tien, Ohio State University, and his research group, for providing them with the Haiti data to validate their model.  ... 
doi:10.1155/2018/2528513 fatcat:scpvz4k2vjd3tphqpexa33rpd4

Numerical Simulation of Cholera Epidemic Model with Quarantine

Trisilowati Trisilowati
2012 Telematika  
Cholera is an acute diarrheal disease that spread quickly in an unsanitary environment, and one of its control measures is employing quarantine.  ...  Therefore, this research aims to construct a model for the spread of SIRQB-type (susceptibles, infective, recovered, quarantine, bacteria) infectious diseases through a nonlinear differential equation  ...  Finally, further research is recommended to involve intervention with education and treatment or analyzed using optimal control.  ... 
doi:10.35671/telematika.v14i1.1143 fatcat:kjsx6fzbqnaetk5s77lrk56wve

Using Mobile Phone Data to Predict the Spatial Spread of Cholera

Linus Bengtsson, Jean Gaudart, Xin Lu, Sandra Moore, Erik Wetter, Kankoe Sallah, Stanislas Rebaudet, Renaud Piarroux
2015 Scientific Reports  
Acknowledgments The authors are grateful to Digicel Haiti for making available the anonymous network data.  ...  As soon as the epidemic was recognized, the Haitian government, with support from the US Centers for Disease Control and Prevention, implemented a nationwide monitoring program 22 .  ...  Two gravity models of population mobility were implemented for comparison. Both were optimized based on the complete retrospective epidemic data, available only after the end of the epidemic spread.  ... 
doi:10.1038/srep08923 pmid:25747871 pmcid:PMC4352843 fatcat:qqnged7kkbh37itlrbexrfpusq
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