Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination
Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical mode...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124004443 |
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| author | A. Abdelkhalek A.H. Abdel Kader I.L. El-Kalla A. Elsaid Amr Elsonbaty K.S. Nisar |
| author_facet | A. Abdelkhalek A.H. Abdel Kader I.L. El-Kalla A. Elsaid Amr Elsonbaty K.S. Nisar |
| author_sort | A. Abdelkhalek |
| collection | DOAJ |
| description | Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. The basic reproduction number is computed to determine the epidemic threshold. The stability regions in parameter space and the effects of vaccination parameters are obtained. The conditions for transcritical bifurcation are established, and the parameter analysis for this type of bifurcation is conducted. Numerical simulations of various scenarios with varying parameter values validate the theoretical analysis. |
| format | Article |
| id | doaj-art-c8dcd6ec9f844a95ba14e450b6046563 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-c8dcd6ec9f844a95ba14e450b60465632025-01-19T06:26:46ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101058Dynamical analysis of a complex competitive two-strain epidemic network model with vaccinationA. Abdelkhalek0A.H. Abdel Kader1I.L. El-Kalla2A. Elsaid3Amr Elsonbaty4K.S. Nisar5Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, EgyptMathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, EgyptMathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, EgyptMathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt; Department of Mathematics, Institute of Basic and Applied Sciences, Egypt-Japan University of Science and Technology (E-JUST), New Borg El-Arab City, Alexandria, EgyptDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia; Corresponding author.Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. The basic reproduction number is computed to determine the epidemic threshold. The stability regions in parameter space and the effects of vaccination parameters are obtained. The conditions for transcritical bifurcation are established, and the parameter analysis for this type of bifurcation is conducted. Numerical simulations of various scenarios with varying parameter values validate the theoretical analysis.http://www.sciencedirect.com/science/article/pii/S2666818124004443Two-strainPairwise epidemic modelComplex networkBasic reproduction numberTranscritical bifurcation |
| spellingShingle | A. Abdelkhalek A.H. Abdel Kader I.L. El-Kalla A. Elsaid Amr Elsonbaty K.S. Nisar Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination Partial Differential Equations in Applied Mathematics Two-strain Pairwise epidemic model Complex network Basic reproduction number Transcritical bifurcation |
| title | Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination |
| title_full | Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination |
| title_fullStr | Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination |
| title_full_unstemmed | Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination |
| title_short | Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination |
| title_sort | dynamical analysis of a complex competitive two strain epidemic network model with vaccination |
| topic | Two-strain Pairwise epidemic model Complex network Basic reproduction number Transcritical bifurcation |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124004443 |
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