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https://ah.lib.nccu.edu.tw/handle/140.119/137564
題名: | Traveling wave solutions to di ffusive Holling-Tanner predator-prey models | 作者: | 符聖珍 Fu, Sheng-Chen Wang, Ching-Hui |
貢獻者: | 應數系 | 關鍵詞: | Reaction-diffusion system ; traveling wave ; predator-prey ; Holling-Tanner ; Beddington-DeAngelis | 日期: | 四月-2021 | 上傳時間: | 27-十月-2021 | 摘要: | In this paper, we first establish the existence of semi-traveling wave solutions to a diffusive generalized Holling-Tanner predator-prey model in which the functional response may depend on both the predator and prey populations. Then, by constructing the Lyapunov function, we apply the obtained result to show the existence of traveling wave solutions to the diffusive Holling-Tanner predator-prey models with various functional responses, including the Lotka-Volterra type functional response, the Holling type Ⅱ functional response and the Beddington-DeAngelis functional response. | 關聯: | Discrete and Continuous Dynamical Systems - Series B, Vol.26, No.4, pp.2239-2255 | 資料類型: | article | DOI: | https://doi.org/10.3934/dcdsb.2021007 |
Appears in Collections: | 期刊論文 |
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