具有一般密度制约的食饵-捕食者扩散系统的行波解
PDF下载 (34398)李慧茹,肖海滨*.具有一般密度制约的食饵-捕食者扩散系统的行波解[J].宁波大学学报(理工版),2017,30(6):78-84.DOI:
LI Hui-ru,XIAO Hai-bin*.Traveling wave solutions for diffusive predator-prey type systems with general density dependence[J].Journal of Ningbo University(Natural Science & Engineering Edition),2017,30(6):78-84.DOI:
| Title: | Traveling wave solutions for diffusive predator-prey type systems with general density dependence |
| 作者: | 李慧茹, 肖海滨* |
| Author(s): | LI Hui-ru, XIAO Hai-bin* |
| 关键词: | 行波解; 连结轨道; 食饵-捕食者扩散系统; 密度制约; 最小波速 |
| Keywords: | traveling wave solutions; connecting orbits; diffusive predator-prey systems; density dependence; minimum wave speed |
| 分类号: | O175 |
| 文献标识码: | A |
| 摘要: | 论文主要研究一类具有非线性密度制约函数的食饵-捕食者扩散系统的行波解. 利用拓扑打靶的方法, 借助构造似Wazewski集和Lyapunov函数, 证明了系统连结边界平衡点和共存平衡点的非负行波解的存在. 本文的结果意味着由Huang所建立的行波解在捕食者具有非线性密度制约的情形下是可以保持的. |
| Abstract: | In this paper, a traveling wave solution for a class of diffusive predator-prey system with nonlinear density dependence is considered. Using methods of topological shooting, we show the existence of a non-negative traveling wave solution, which connects a boundary equilibrium to the co-existence equilibrium facilitated by a Wazewski-like set combined with a Lyapunov function. These mean Huang’s results are generalized for prospective applications. |
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| 备注/Memo: | 收稿日期: 2017?01?18. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 浙江省自然科学基金（LY14A010004）. 第一作者: 李慧茹（1990－）, 女, 河南商丘人, 在读硕士研究生, 主要研究方向: 微分方程. E-mail: 1203585545@qq.com *通信作者: 肖海滨（1973－）, 男, 江西南康人, 博士, 主要研究方向: 微分方程与动力系统. E-mail: xiaohaibin@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
