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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 2021-04
上傳時間 27-Oct-2021 11:01:09 (UTC+8)
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
dc.contributor 應數系
dc.creator (作者) 符聖珍
dc.creator (作者) Fu,  Sheng-Chen
dc.creator (作者) Wang, Ching-Hui
dc.date (日期) 2021-04
dc.date.accessioned 27-Oct-2021 11:01:09 (UTC+8)-
dc.date.available 27-Oct-2021 11:01:09 (UTC+8)-
dc.date.issued (上傳時間) 27-Oct-2021 11:01:09 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/137564-
dc.description.abstract (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.
dc.format.extent 125 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Discrete and Continuous Dynamical Systems - Series B, Vol.26, No.4, pp.2239-2255
dc.subject (關鍵詞) Reaction-diffusion system ;  traveling wave ;  predator-prey ;  Holling-Tanner ;  Beddington-DeAngelis
dc.title (題名) Traveling wave solutions to di ffusive Holling-Tanner predator-prey models
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.3934/dcdsb.2021007
dc.doi.uri (DOI) https://doi.org/10.3934/dcdsb.2021007