Forced waves of a delayed diffusive endemic model with shifting transmission rates | |
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學年 | 113 |
學期 | 1 |
出版(發表)日期 | 2024-12-15 |
作品名稱 | Forced waves of a delayed diffusive endemic model with shifting transmission rates |
作品名稱(其他語言) | |
著者 | Wonhyung Choi; Jong-Shenq Guo; Chin-Chin Wu |
單位 | |
出版者 | |
著錄名稱、卷期、頁數 | Journal of Mathematical Analysis and Applications 540,,128647 |
摘要 | In this paper, we investigate the forced waves of a delayed diffusive endemic model with a shifting transmission rate. Here a forced wave is a traveling wave with wave speed the same as the environmental shifting speed. By constructing a new pair of upper-lower solutions, we prove the existence of forced waves for any negative shifting speed which corresponds the deceased of the disease, regardless of the magnitude of the delay. Moreover, we also derive the existence of forced waves with small shifting speeds without delay which signify the disease spread. A non-existence of forced wave when the limiting reproduction number is less than one is also proven. |
關鍵字 | |
語言 | en_US |
ISSN | |
期刊性質 | 國外 |
收錄於 | SCI Scopus |
產學合作 | |
通訊作者 | |
審稿制度 | 否 |
國別 | USA |
公開徵稿 | |
出版型式 | ,電子版,紙本 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/126729 ) |
SDGS | 良好健康和福祉 |