Uniform weak implies uniform strong persistence for non-autonomous semiflows |
| |
Authors: | Horst R Thieme |
| |
Institution: | Department of Mathematics, Arizona State University, Tempe, Arizona 85287-1804 |
| |
Abstract: | It is shown that, under two additional assumptions, uniformly weakly persistent semiflows are also uniformly strongly persistent even if they are non-autonomous. This result is applied to a time-heterogeneous model of S-I-R-S type for the spread of infectious childhood diseases. If some of the parameter functions are almost periodic, an almost sharp threshold result is obtained for uniform strong endemicity versus extinction. |
| |
Keywords: | |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 |
|