A Generalized Reaction-Diffusion Epidemic Model with Time Delay
| Autor: | El Mehdi Lotfi, Radoune Yafia, Noura Yousfi |
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| Rok vydání: | 2020 |
| Předmět: |
Control and Optimization
Partial differential equation Lyapunov functional Homogeneous Reaction–diffusion system Computational Mechanics Characteristic equation Discrete Mathematics and Combinatorics Applied mathematics Statistical and Nonlinear Physics Epidemic model Stability (probability) Mathematics |
| Zdroj: | The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 9:217-228 |
| ISSN: | 2164-6414 2164-6376 |
| DOI: | 10.5890/dnc.2020.06.004 |
| Popis: | In this paper, we propose a generalized reaction-diffusion epidemic model with time delay. The proposed model is governed by partial differential equations (PDEs). The global existence, positivity and boundedness of solutions are obtained. By analyzing the corresponding characteristic equation and constructing appropriate Lyapunov functionals, the local/global stability of homogeneous steady states are investigated. Finally, an application of our analytical results is given. |
| Databáze: | OpenAIRE |
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