Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks
In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R0<1{R}_{0}\lt 1, the disease-free equilibrium E0{E}_{0} is globally asymptotically stable...
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Format: | Article |
Language: | English |
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De Gruyter
2023-05-01
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Series: | Open Mathematics |
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Online Access: | https://doi.org/10.1515/math-2022-0580 |
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author | Ding Yanlin Jiao Jianjun |
author_facet | Ding Yanlin Jiao Jianjun |
author_sort | Ding Yanlin |
collection | DOAJ |
description | In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R0<1{R}_{0}\lt 1, the disease-free equilibrium E0{E}_{0} is globally asymptotically stable; if R0>1{R}_{0}\gt 1, there exists a unique endemic equilibrium i∗=(i1∗,i2∗,…,in∗){i}^{\ast }=\left({i}_{1}^{\ast },{i}_{2}^{\ast },\ldots ,{i}_{n}^{\ast }) that is globally attractive. Moreover, three control strategies are proposed to control the spread of infectious diseases. Finally, some numerical simulations are given to illustrate our theoretical results. |
first_indexed | 2024-03-13T07:15:02Z |
format | Article |
id | doaj.art-6ab791d50c3047e598c6613efe5d1315 |
institution | Directory Open Access Journal |
issn | 2391-5455 |
language | English |
last_indexed | 2024-03-13T07:15:02Z |
publishDate | 2023-05-01 |
publisher | De Gruyter |
record_format | Article |
series | Open Mathematics |
spelling | doaj.art-6ab791d50c3047e598c6613efe5d13152023-06-05T09:17:34ZengDe GruyterOpen Mathematics2391-54552023-05-01211314210.1515/math-2022-0580Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networksDing Yanlin0Jiao Jianjun1School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaDepartment of Mathematics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaIn this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R0<1{R}_{0}\lt 1, the disease-free equilibrium E0{E}_{0} is globally asymptotically stable; if R0>1{R}_{0}\gt 1, there exists a unique endemic equilibrium i∗=(i1∗,i2∗,…,in∗){i}^{\ast }=\left({i}_{1}^{\ast },{i}_{2}^{\ast },\ldots ,{i}_{n}^{\ast }) that is globally attractive. Moreover, three control strategies are proposed to control the spread of infectious diseases. Finally, some numerical simulations are given to illustrate our theoretical results.https://doi.org/10.1515/math-2022-0580vector-borne epidemic modelglobal analysiscontrol strategycomplex networks34d2035a2592c37 |
spellingShingle | Ding Yanlin Jiao Jianjun Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks Open Mathematics vector-borne epidemic model global analysis control strategy complex networks 34d20 35a25 92c37 |
title | Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks |
title_full | Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks |
title_fullStr | Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks |
title_full_unstemmed | Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks |
title_short | Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks |
title_sort | global analysis and control for a vector borne epidemic model with multi edge infection on complex networks |
topic | vector-borne epidemic model global analysis control strategy complex networks 34d20 35a25 92c37 |
url | https://doi.org/10.1515/math-2022-0580 |
work_keys_str_mv | AT dingyanlin globalanalysisandcontrolforavectorborneepidemicmodelwithmultiedgeinfectiononcomplexnetworks AT jiaojianjun globalanalysisandcontrolforavectorborneepidemicmodelwithmultiedgeinfectiononcomplexnetworks |