دورية أكاديمية
Qualitative analysis of solutions for a degenerate partial differential equations model of epidemic spread dynamics
| العنوان: | Qualitative analysis of solutions for a degenerate partial differential equations model of epidemic spread dynamics |
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| المؤلفون: | Roman Taranets, Nataliya Vasylyeva, Belgacem Al-Azem |
| المصدر: | Frontiers in Applied Mathematics and Statistics, Vol 10 (2024) |
| بيانات النشر: | Frontiers Media S.A., 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods LCC:Probabilities. Mathematical statistics |
| مصطلحات موضوعية: | epidemic modeling, degenerate differential equations, SIS-PDE model, weak solutions, Kimura model, steady states, Applied mathematics. Quantitative methods, T57-57.97, Probabilities. Mathematical statistics, QA273-280 |
| الوصف: | Compartmental models are widely used in mathematical epidemiology to describe the dynamics of infectious diseases or in mathematical models of population genetics. In this study, we study a time-dependent Susceptible-Infectious-Susceptible (SIS) Partial Differential Equation (PDE) model that is based on a diffusion-drift approximation of a probability density from a well-known discrete-time Markov chain model. This SIS-PDE model is conservative due to the degeneracy of the diffusion term at the origin. The main results of this article are the qualitative behavior of weak solutions, the dependence of the local asymptotic property of these solutions on initial data, and the existence of Dirac delta function type solutions. Moreover, we study the long-term behavior of solutions and confirm our analysis with numerical computations. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2297-4687 |
| Relation: | https://www.frontiersin.org/articles/10.3389/fams.2024.1383106/full; https://doaj.org/toc/2297-4687 |
| DOI: | 10.3389/fams.2024.1383106 |
| URL الوصول: | https://doaj.org/article/9bef797144fd409eabd7da38443fdad1 |
| رقم الأكسشن: | edsdoj.9bef797144fd409eabd7da38443fdad1 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 22974687 |
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| DOI: | 10.3389/fams.2024.1383106 |