Mathematical analysis of local and global dynamics of a new epidemic model
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| Title: | Mathematical analysis of local and global dynamics of a new epidemic model |
|---|---|
| Authors: | Çakan S. |
| Publisher Information: | TUBITAK |
| Publication Year: | 2022 |
| Collection: | Inonu University: Akademic Archive System / İnönü Üniversitesi Akademik Arşiv Sistemi |
| Subject Terms: | Basic reproduction number, Jacobian matrix, Lasalle’s invariance principle, Li-muldowney geometric approach, Lyapunov function, Next generation matrix method, Routh-hurwitz criteria, The second additive compound matrix |
| Description: | In this paper, we construct a new SEIR epidemic model reflecting the spread of infectious diseases. After calculating basic reproduction number R0 by the next generation matrix method, we examine the stability of the model. The model exhibits threshold behavior according to whether the basic reproduction number R0 is greater than unity or not. By using well-known Routh-Hurwitz criteria, we deal with local asymptotic stability of equilibrium points of the model according to R0. Also, we present a mathematical analysis for the global dynamics in the equilibrium points of this model using LaSalle’s Invariance Principle associated with Lyapunov functional technique and Li-Muldowney geometric approach, respectively. © This work is licensed under a Creative Commons Attribution 4.0 International License. |
| Document Type: | article in journal/newspaper |
| Language: | English |
| Relation: | Turkish Journal of Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://hdl.handle.net/11616/91063; 46; Special Issue; 533; 551; Q2 |
| DOI: | 10.3906/mat-MAT-2107-41 |
| Availability: | https://hdl.handle.net/11616/91063 https://doi.org/10.3906/mat-MAT-2107-41 |
| Rights: | info:eu-repo/semantics/closedAccess |
| Accession Number: | edsbas.90298F60 |
| Database: | BASE |
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