Publications-NSC Projects
Article View/Open
Publication Export
Google ScholarTM
NCCU Library
Citation Infomation
Related Publications in TAIR
| Title | 捕食者-被捕食者系統之行進波解 Traveling Wave Solutions for a Prey-Predator System |
| Creator | 符聖珍 |
| Contributor | 應數系 |
| Key Words | 行進波解; 捕食者－被捕食者系統 traveling wave solution; predator-prey system |
| Date | 2019-10 |
| Date Issued | 31-Mar-2025 11:55:44 (UTC+8) |
| Summary | 本計畫中，我們探討以下捕食者－被捕食者系統之行進波解u_t=d_1 u_xx+ru(1-u)-rkuv,v_t=d_2 v_xx+sv(1-v/u), 其中u(x,t)和v(x,t)分別代表捕食者和被捕食者在時刻t位置x的數量密度，d_1,d_2,r,s皆為正參數，d_1, d_2為兩種族群的擴散係數，r,s為族群成長速率，rku為捕食者的功能反應，ru(1-u)為被捕食者的logistic成長速率，其承載力(carrying capacity)已正規化為1，而捕食者的承載力和被捕食者的數量密度成比例。 In this project, we study traveling wave solutions of the following diffusive predator-prey systemu_t=d_1 u_xx+ru(1-u)-rkuv,v_t=d_2 v_xx+sv(1-v/u), where u(x,t) and v(x,t) denote the population densities of prey and predator species at time t and location x, respectively, d_1,d_2,r,s are positive parameters such that d_1, d_2 are diffusion coeffcients and r,s are intrinsic growth rates of species u,v, respectively, rku is the functional response to the predator population, ru(1-u) is the logistic growth rate of the prey and its carrying capacity is normalized to be 1. The density of predator follows a logistic dynamics with a varying carrying capacity proportional to the density of prey. |
| Relation | 科技部, MOST107-2115-M004-001, 107.08-108.07 |
| Type | report |
| dc.contributor | 應數系 | |
| dc.creator (作者) | 符聖珍 | |
| dc.date (日期) | 2019-10 | |
| dc.date.accessioned | 31-Mar-2025 11:55:44 (UTC+8) | - |
| dc.date.available | 31-Mar-2025 11:55:44 (UTC+8) | - |
| dc.date.issued (上傳時間) | 31-Mar-2025 11:55:44 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/156446 | - |
| dc.description.abstract (摘要) | 本計畫中，我們探討以下捕食者－被捕食者系統之行進波解u_t=d_1 u_xx+ru(1-u)-rkuv,v_t=d_2 v_xx+sv(1-v/u), 其中u(x,t)和v(x,t)分別代表捕食者和被捕食者在時刻t位置x的數量密度，d_1,d_2,r,s皆為正參數，d_1, d_2為兩種族群的擴散係數，r,s為族群成長速率，rku為捕食者的功能反應，ru(1-u)為被捕食者的logistic成長速率，其承載力(carrying capacity)已正規化為1，而捕食者的承載力和被捕食者的數量密度成比例。 | |
| dc.description.abstract (摘要) | In this project, we study traveling wave solutions of the following diffusive predator-prey systemu_t=d_1 u_xx+ru(1-u)-rkuv,v_t=d_2 v_xx+sv(1-v/u), where u(x,t) and v(x,t) denote the population densities of prey and predator species at time t and location x, respectively, d_1,d_2,r,s are positive parameters such that d_1, d_2 are diffusion coeffcients and r,s are intrinsic growth rates of species u,v, respectively, rku is the functional response to the predator population, ru(1-u) is the logistic growth rate of the prey and its carrying capacity is normalized to be 1. The density of predator follows a logistic dynamics with a varying carrying capacity proportional to the density of prey. | |
| dc.format.extent | 116 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | 科技部, MOST107-2115-M004-001, 107.08-108.07 | |
| dc.subject (關鍵詞) | 行進波解; 捕食者－被捕食者系統 | |
| dc.subject (關鍵詞) | traveling wave solution; predator-prey system | |
| dc.title (題名) | 捕食者-被捕食者系統之行進波解 | |
| dc.title (題名) | Traveling Wave Solutions for a Prey-Predator System | |
| dc.type (資料類型) | report |