| Autor: |
Lizhong Qiang, Ren-Hu Wang, Ruofan An, Zhi-Cheng Wang |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Mathematical Biosciences and Engineering, Vol 17, Iss 6, Pp 7732-7750 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1551-0018 |
| DOI: |
10.3934/mbe.2020393?viewType=HTML |
| Popis: |
In this paper, we propose and investigate an almost periodic SEIR model with stage structure and latency, in which time-dependent maturation and incubation periods are incorporated. Two threshold parameters for the persistence and extinction of population and disease are introduced: the basic reproduction ratio $\hat{R}_{0}$ for population and the basic reproduction ratio $R_{0}$ for disease. If $\hat{R}_{0}1$, it is shown that the disease tends to die out if $R_{0}1$. By virtue of numerical simulations, we verify the analytic results and investigate the effects of the fluctuations of maturation and incubation periods on disease transmission. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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