دورية أكاديمية
Stability analysis and persistence of a phage therapy model
| العنوان: | Stability analysis and persistence of a phage therapy model |
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| المؤلفون: | Ei Ei Kyaw, Hongchan Zheng, Jingjing Wang, Htoo Kyaw Hlaing |
| المصدر: | Mathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5552-5572 (2021) |
| بيانات النشر: | AIMS Press, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Biotechnology LCC:Mathematics |
| مصطلحات موضوعية: | phage therapy model, persistence, extinction, stability, lyapunov functional, Biotechnology, TP248.13-248.65, Mathematics, QA1-939 |
| الوصف: | This study deals with a phage therapy model involving nonlinear interactions of the bacteria–phage–innate immune response. The main aim of this work is to analytically and numerically examine the dynamic behavior of the phage therapy model. First, we investigate the positivity and boundedness of the system. Second, we analyze the existence and local asymptotic stability of different equilibrium solutions. Third, we investigate the global stability for equilibrium without immune system and equilibrium without phages, and coexistence equilibrium by means of the Bendixson–Dulac criterion and the Lyapunov functional method, respectively. Furthermore, we discuss the persistence and nonpersistence of the system under some conditions. Finally, we perform numerical simulations to substantiate the results obtained in this research. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1551-0018 |
| Relation: | https://doaj.org/toc/1551-0018 |
| DOI: | 10.3934/mbe.2021280?viewType=HTML |
| DOI: | 10.3934/mbe.2021280 |
| URL الوصول: | https://doaj.org/article/f7c79ff4b1b046cebff23f11a809a761 |
| رقم الأكسشن: | edsdoj.f7c79ff4b1b046cebff23f11a809a761 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 15510018 |
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| DOI: | 10.3934/mbe.2021280?viewType=HTML |