ПІДХІД ДО ДОСЛІДЖЕННЯ ГЛОБАЛЬНОЇ АСИМПТОТИЧНОЇ СТІЙКОСТІ РЕШІТЧАСТИХ ДИФЕРЕНЦІАЛЬНИХ РІВНЯНЬ ІЗ ЗАПІЗНЕННЯМ ДЛЯ МОДЕЛЮВАННЯ ІМУНОСЕНСОРІВ
The model of immunosensor is considered, which is based on a system of lattice differential equations with delay. The main result of the work is the conditions for the global asymptotic stability of the endemic state. For this purpose we have used the method of Lyapunov functionals. It combines a ge...
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| Datum: | 2025 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2025
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| Schlagworte: | |
| Online Zugang: | https://jais.net.ua/index.php/files/article/view/626 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | The model of immunosensor is considered, which is based on a system of lattice differential equations with delay. The main result of the work is the conditions for the global asymptotic stability of the endemic state. For this purpose we have used the method of Lyapunov functionals. It combines a general approach to the construction of Lyapunov functionals for predator-prey models, using lattice differential equations. Calculation of basic reproduction numbers is based on the method of next generation matrix. An estimate of time delay, which enables global asymptotic stability is presented. |
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