FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3119259931> ?p ?o ?g. }

• W3119259931 endingPage "91" @default.
• W3119259931 startingPage "75" @default.
• W3119259931 abstract "In this paper, we formulate an optimal control problem based on a tuberculosis model with multiple infectious compartments and time delays. In order to have a more realistic model that allows highlighting the role of detection, loss to follow-up and treatment in TB transmission, we propose an extension of the classical SEIR model by dividing infectious patients in the compartment (I) into three categories: undiagnosed infected (I), diagnosed patients who are under treatment (T) and diagnosed patients who are lost to follow-up (L). We incorporate in our model delays representing the incubation period and the time needed for treatment. We also introduce three control variables in our delayed system which represent prevention, detection and the efforts that prevent the failure of treatment. The purpose of our control strategies is to minimize the number of infected individuals and the cost of intervention. The existence of the optimal controls is investigated, and a characterization of the three controls is given using the Pontryagin's maximum principle with delays. To solve numerically the optimality system with delays, we present an adapted iterative method based on the iterative Forward-Backward Sweep Method (FBSM). Numerical simulations performed using Matlab are also provided. They indicate that the prevention control is the most effective one. To the best of our knowledge, it is the first work to apply optimal control theory to a TB model which considers infectious patients diagnosis, loss to follow-up phenomenon and multiple time delays." @default.
• W3119259931 created "2021-01-18" @default.
• W3119259931 creator A5042011090 @default.
• W3119259931 creator A5047123496 @default.
• W3119259931 creator A5086704604 @default.
• W3119259931 creator A5091588839 @default.
• W3119259931 date "2021-01-03" @default.
• W3119259931 modified "2023-09-27" @default.
• W3119259931 title "Optimal control problem for a tuberculosis model with multiple infectious compartments and time delays" @default.
• W3119259931 cites W102946797 @default.
• W3119259931 cites W114870970 @default.
• W3119259931 cites W1567262822 @default.
• W3119259931 cites W1581843005 @default.
• W3119259931 cites W1606697907 @default.
• W3119259931 cites W1848506014 @default.
• W3119259931 cites W1981133789 @default.
• W3119259931 cites W2003870355 @default.
• W3119259931 cites W2013322007 @default.
• W3119259931 cites W2040280016 @default.
• W3119259931 cites W2041572706 @default.
• W3119259931 cites W2047967831 @default.
• W3119259931 cites W2048426438 @default.
• W3119259931 cites W2063917507 @default.
• W3119259931 cites W2073540225 @default.
• W3119259931 cites W2085837949 @default.
• W3119259931 cites W2112680994 @default.
• W3119259931 cites W2113133070 @default.
• W3119259931 cites W2115438934 @default.
• W3119259931 cites W2119050822 @default.
• W3119259931 cites W2141713914 @default.
• W3119259931 cites W2152433094 @default.
• W3119259931 cites W2156054249 @default.
• W3119259931 cites W2161728228 @default.
• W3119259931 cites W2165395665 @default.
• W3119259931 cites W2166022262 @default.
• W3119259931 cites W2174562946 @default.
• W3119259931 cites W2296822683 @default.
• W3119259931 cites W231975775 @default.
• W3119259931 cites W2472631432 @default.
• W3119259931 cites W2475038746 @default.
• W3119259931 cites W2515088314 @default.
• W3119259931 cites W2560487301 @default.
• W3119259931 cites W2591915164 @default.
• W3119259931 cites W2725216843 @default.
• W3119259931 cites W2758571944 @default.
• W3119259931 cites W2783088395 @default.
• W3119259931 cites W2786999873 @default.
• W3119259931 cites W2793890249 @default.
• W3119259931 cites W2887005543 @default.
• W3119259931 cites W2894443826 @default.
• W3119259931 cites W2900672594 @default.
• W3119259931 cites W2937011217 @default.
• W3119259931 cites W2966925786 @default.
• W3119259931 cites W2981032436 @default.
• W3119259931 cites W2997295579 @default.
• W3119259931 cites W3014427260 @default.
• W3119259931 cites W648843705 @default.
• W3119259931 doi "https://doi.org/10.11121/ijocta.01.2021.00885" @default.
• W3119259931 hasPublicationYear "2021" @default.
• W3119259931 type Work @default.
• W3119259931 sameAs 3119259931 @default.
• W3119259931 citedByCount "5" @default.
• W3119259931 countsByYear W31192599312021 @default.
• W3119259931 countsByYear W31192599312022 @default.
• W3119259931 countsByYear W31192599312023 @default.
• W3119259931 crossrefType "journal-article" @default.
• W3119259931 hasAuthorship W3119259931A5042011090 @default.
• W3119259931 hasAuthorship W3119259931A5047123496 @default.
• W3119259931 hasAuthorship W3119259931A5086704604 @default.
• W3119259931 hasAuthorship W3119259931A5091588839 @default.
• W3119259931 hasBestOaLocation W31192599311 @default.
• W3119259931 hasConcept C111919701 @default.
• W3119259931 hasConcept C126255220 @default.
• W3119259931 hasConcept C141803461 @default.
• W3119259931 hasConcept C142724271 @default.
• W3119259931 hasConcept C154945302 @default.
• W3119259931 hasConcept C2775924081 @default.
• W3119259931 hasConcept C2780365114 @default.
• W3119259931 hasConcept C2781069245 @default.
• W3119259931 hasConcept C33923547 @default.
• W3119259931 hasConcept C41008148 @default.
• W3119259931 hasConcept C47446073 @default.
• W3119259931 hasConcept C71924100 @default.
• W3119259931 hasConcept C91575142 @default.
• W3119259931 hasConceptScore W3119259931C111919701 @default.
• W3119259931 hasConceptScore W3119259931C126255220 @default.
• W3119259931 hasConceptScore W3119259931C141803461 @default.
• W3119259931 hasConceptScore W3119259931C142724271 @default.
• W3119259931 hasConceptScore W3119259931C154945302 @default.
• W3119259931 hasConceptScore W3119259931C2775924081 @default.
• W3119259931 hasConceptScore W3119259931C2780365114 @default.
• W3119259931 hasConceptScore W3119259931C2781069245 @default.
• W3119259931 hasConceptScore W3119259931C33923547 @default.
• W3119259931 hasConceptScore W3119259931C41008148 @default.
• W3119259931 hasConceptScore W3119259931C47446073 @default.
• W3119259931 hasConceptScore W3119259931C71924100 @default.
• W3119259931 hasConceptScore W3119259931C91575142 @default.
• W3119259931 hasIssue "1" @default.

• next