Dynamic optimal control of an SEIQRS epidemic model on complex network
Infectious diseases pose a significant threat to human life, health, and safety. Therefore, it is crucial to develop effective control strategies. In this paper, we aim to address this concern through the construction of a SEIQRS model on complex networks. This model focuses on viruses that have an...
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| Published in | International journal of dynamics and control Vol. 13; no. 6 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Springer Nature B.V
01.06.2025
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| Abstract | Infectious diseases pose a significant threat to human life, health, and safety. Therefore, it is crucial to develop effective control strategies. In this paper, we aim to address this concern through the construction of a SEIQRS model on complex networks. This model focuses on viruses that have an incubation period and are infectious during this period. In order to minimize the costs, optimal control theory is used to solve the time-varying control problem of vaccination, quarantine and treatment. Subsequently, numerical simulations are performed to analyze the pros and cons of different control combinations, as well as the impact of parameters on the effectiveness of control. By doing so, better control strategies can be developed and the relationship between parameters, contagion, and control can be revealed. |
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| AbstractList | Infectious diseases pose a significant threat to human life, health, and safety. Therefore, it is crucial to develop effective control strategies. In this paper, we aim to address this concern through the construction of a SEIQRS model on complex networks. This model focuses on viruses that have an incubation period and are infectious during this period. In order to minimize the costs, optimal control theory is used to solve the time-varying control problem of vaccination, quarantine and treatment. Subsequently, numerical simulations are performed to analyze the pros and cons of different control combinations, as well as the impact of parameters on the effectiveness of control. By doing so, better control strategies can be developed and the relationship between parameters, contagion, and control can be revealed. |
| ArticleNumber | 251 |
| Author | Zhang, Meirong Dai, Jianyong Gong, Shangqing |
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| Cites_doi | 10.1186/s13662-022-03723-7 10.1016/j.jtbi.2018.02.010 10.1016/j.chaos.2020.109892 10.1007/s11071-020-06184-3 10.1038/30918 10.1103/RevModPhys.87.925 10.1016/j.chaos.2020.110007 10.1098/rsif.2008.0524 10.1016/j.physa.2018.02.056 10.1126/science.7063839 10.1371/journal.pcbi.1001005 10.1103/PhysRevLett.86.3200 10.1016/j.chaos.2015.02.004 10.1073/pnas.2007488118 10.1016/j.physa.2018.08.119 10.1016/j.physleta.2014.09.002 10.1016/j.chaos.2022.112565 10.1016/j.cnsns.2016.12.025 10.1016/j.physa.2014.05.034 10.1016/j.ins.2018.08.050 10.1007/s11538-023-01159-y 10.1016/j.chaos.2021.111338 10.1007/s11071-020-05848-4 10.1016/j.chaos.2020.110139 10.1126/science.286.5439.509 10.1016/j.physa.2009.09.047 10.1007/BF00276090 10.1016/0303-2647(92)90079-E 10.1016/j.cnsns.2018.06.020 10.1016/j.cnsns.2016.08.005 10.1016/j.physrep.2012.03.001 |
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| References | WO Kermack (1747_CR1) 1927; 115 DT Citron (1747_CR7) 2021; 118 D Xu (1747_CR35) 2017; 48 L Chen (1747_CR36) 2014; 378 RE Mickens (1747_CR9) 1992; 26 N Jia (1747_CR32) 2018; 502 Z Lu (1747_CR23) 2020; 101 S Zhang (1747_CR6) 2018; 337 X Wei (1747_CR33) 2018; 512 C Xia (1747_CR26) 2019; 471 WO Kermack (1747_CR2) 1932; 138 A-L Barabási (1747_CR19) 1999; 286 G Liu (1747_CR25) 2018; 444 L Chen (1747_CR31) 2014; 410 Y Liu (1747_CR5) 2022; 2022 PRS Rao (1747_CR16) 2015; 75 L Zhang (1747_CR34) 2021; 103 K Li (1747_CR30) 2019; 66 I Ameen (1747_CR14) 2020; 137 M Higazy (1747_CR12) 2020; 138 RM Anderson (1747_CR13) 1982; 215 G Vivekanandhan (1747_CR8) 2022; 163 J Chan (1747_CR22) 2010; 6 C Barril (1747_CR4) 2023; 85 V Nenchev (1747_CR15) 2020; 138 C Peng (1747_CR27) 2010; 389 JC Miller (1747_CR24) 2009; 6 IB Schwartz (1747_CR3) 1983; 18 DJ Watts (1747_CR18) 1998; 393 X Cui (1747_CR11) 2022; 137 B Zhou (1747_CR10) 2021; 152 R Pastor-Satorras (1747_CR21) 2015; 87 A Kumar (1747_CR17) 2017; 44 R Pastor-Satorras (1747_CR20) 2001; 86 P Holme (1747_CR28) 2012; 519 1747_CR29 |
| References_xml | – volume: 138 start-page: 55 year: 1932 ident: 1747_CR2 publication-title: Proceed Royal Soc London. Series A, Contain Papers Math Phys Charact – volume: 137 start-page: 1 year: 2022 ident: 1747_CR11 publication-title: The European Phys J Plus – volume: 2022 start-page: 1 year: 2022 ident: 1747_CR5 publication-title: Adv Continuous Discrete Models doi: 10.1186/s13662-022-03723-7 – volume: 444 start-page: 28 year: 2018 ident: 1747_CR25 publication-title: J Theor Biol doi: 10.1016/j.jtbi.2018.02.010 – ident: 1747_CR29 – volume: 137 year: 2020 ident: 1747_CR14 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2020.109892 – volume: 115 start-page: 700 year: 1927 ident: 1747_CR1 publication-title: Proceed Royal Soc London. Series A Contain Papers Math Phys Charact – volume: 103 start-page: 2097 year: 2021 ident: 1747_CR34 publication-title: Nonlinear Dyn doi: 10.1007/s11071-020-06184-3 – volume: 393 start-page: 440 issue: 6684 year: 1998 ident: 1747_CR18 publication-title: Nature doi: 10.1038/30918 – volume: 87 start-page: 925 year: 2015 ident: 1747_CR21 publication-title: Rev Mod Phys doi: 10.1103/RevModPhys.87.925 – volume: 138 year: 2020 ident: 1747_CR12 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2020.110007 – volume: 6 start-page: 1121 year: 2009 ident: 1747_CR24 publication-title: J R Soc Interface doi: 10.1098/rsif.2008.0524 – volume: 502 start-page: 93 year: 2018 ident: 1747_CR32 publication-title: Physica A doi: 10.1016/j.physa.2018.02.056 – volume: 215 start-page: 1053 year: 1982 ident: 1747_CR13 publication-title: Science doi: 10.1126/science.7063839 – volume: 6 year: 2010 ident: 1747_CR22 publication-title: PLoS Comput Biol doi: 10.1371/journal.pcbi.1001005 – volume: 86 start-page: 3200 year: 2001 ident: 1747_CR20 publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.86.3200 – volume: 75 start-page: 34 year: 2015 ident: 1747_CR16 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2015.02.004 – volume: 337 start-page: 214 year: 2018 ident: 1747_CR6 publication-title: Appl Math Comput – volume: 118 year: 2021 ident: 1747_CR7 publication-title: Proc Natl Acad Sci doi: 10.1073/pnas.2007488118 – volume: 512 start-page: 203 year: 2018 ident: 1747_CR33 publication-title: Physica A doi: 10.1016/j.physa.2018.08.119 – volume: 378 start-page: 3028 year: 2014 ident: 1747_CR36 publication-title: Phys Lett A doi: 10.1016/j.physleta.2014.09.002 – volume: 163 year: 2022 ident: 1747_CR8 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2022.112565 – volume: 48 start-page: 200 year: 2017 ident: 1747_CR35 publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2016.12.025 – volume: 410 start-page: 196 year: 2014 ident: 1747_CR31 publication-title: Physica A doi: 10.1016/j.physa.2014.05.034 – volume: 471 start-page: 185 year: 2019 ident: 1747_CR26 publication-title: Inf Sci doi: 10.1016/j.ins.2018.08.050 – volume: 85 start-page: 52 year: 2023 ident: 1747_CR4 publication-title: Bull Math Biol doi: 10.1007/s11538-023-01159-y – volume: 152 year: 2021 ident: 1747_CR10 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2021.111338 – volume: 101 start-page: 1717 year: 2020 ident: 1747_CR23 publication-title: Nonlinear Dyn doi: 10.1007/s11071-020-05848-4 – volume: 138 year: 2020 ident: 1747_CR15 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2020.110139 – volume: 286 start-page: 509 year: 1999 ident: 1747_CR19 publication-title: Science doi: 10.1126/science.286.5439.509 – volume: 389 start-page: 549 year: 2010 ident: 1747_CR27 publication-title: Physica A doi: 10.1016/j.physa.2009.09.047 – volume: 18 start-page: 233 year: 1983 ident: 1747_CR3 publication-title: J Math Biol doi: 10.1007/BF00276090 – volume: 26 start-page: 193 year: 1992 ident: 1747_CR9 publication-title: Biosystems doi: 10.1016/0303-2647(92)90079-E – volume: 66 start-page: 84 year: 2019 ident: 1747_CR30 publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2018.06.020 – volume: 44 start-page: 334 year: 2017 ident: 1747_CR17 publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2016.08.005 – volume: 519 start-page: 97 year: 2012 ident: 1747_CR28 publication-title: Phys Rep doi: 10.1016/j.physrep.2012.03.001 |
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| Title | Dynamic optimal control of an SEIQRS epidemic model on complex network |
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