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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-05-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2022-0580 |
| _version_ | 1797810851320692736 |
|---|---|
| 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 |