High-order reliable numerical methods for epidemic models with non-constant recruitment rate
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909109021835264 |
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| author | Takács, B. M. Sebestyén, G. Svantnerné Faragó, I. |
| author_facet | Takács, B. M. Sebestyén, G. Svantnerné Faragó, I. |
| contents | The mathematical modeling of the propagation of illnesses has an important role from both mathematical and biological points of view. In this article, we observe an SEIR-type model with a general incidence rate and a non-constant recruitment rate function. First, we observe the qualitative properties of different methods: first-order and higher-order strong stability preserving Runge-Kutta methods \cite{shu}. We give different conditions under which the numerical schemes behave as expected. Then, the theoretical results are demonstrated by some numerical experiments. \keywords{positivity preservation, general SEIR model, SSP Runge-Kutta methods} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-order reliable numerical methods for epidemic models with non-constant recruitment rate Takács, B. M. Sebestyén, G. Svantnerné Faragó, I. Numerical Analysis 65L05 (Primary) 92D30, 34C60 (Secondary) G.1.7 The mathematical modeling of the propagation of illnesses has an important role from both mathematical and biological points of view. In this article, we observe an SEIR-type model with a general incidence rate and a non-constant recruitment rate function. First, we observe the qualitative properties of different methods: first-order and higher-order strong stability preserving Runge-Kutta methods \cite{shu}. We give different conditions under which the numerical schemes behave as expected. Then, the theoretical results are demonstrated by some numerical experiments. \keywords{positivity preservation, general SEIR model, SSP Runge-Kutta methods} |
| title | High-order reliable numerical methods for epidemic models with non-constant recruitment rate |
| topic | Numerical Analysis 65L05 (Primary) 92D30, 34C60 (Secondary) G.1.7 |
| url | https://arxiv.org/abs/2402.10549 |