| 具有时滞的周期非均匀竞争恒化器模型的空间动力学 |
| |
| 引用本文： | 蒲武军,王雅.具有时滞的周期非均匀竞争恒化器模型的空间动力学[J].数学研究及应用,2021,41(4):368-382. |
| |
| 作者姓名： | 蒲武军 王雅 |
| |
| 作者单位： | 陇南师范高等专科学校数学系, 甘肃 陇南 742500;兰州大学数学与统计学院, 甘肃 兰州 730000 |
| |
| 基金项目： | 国家自然科学基金(Grant No.61763040), 2019年陇南市科技指导性计划项目(Grant No.2019-ZD-14). |
| |
| 摘 要： | 本文提出了一个具有时滞的周期非均匀单种营养基——双种微生物的竞争恒化器模型,利用半群理论, 获得了该模型解的存在唯一性. 进一步, 建立了该模型的竞争排斥原理, 给出了两竞争物种共存的充分条件.
|
| 关 键 词： | 恒化器模型 非局部时滞 竞争排斥原理 共存 |
| 收稿时间： | 2020/5/29 0:00:00 |
| 修稿时间： | 2020/11/13 0:00:00 |
Spatial Dynamics of Competing Model in a Periodic Unstirred Chemostat with Delay |
| |
| Wujun PU,Ya WANG.Spatial Dynamics of Competing Model in a Periodic Unstirred Chemostat with Delay[J].Journal of Mathematical Research with Applications,2021,41(4):368-382. |
| |
| Authors: | Wujun PU Ya WANG |
| |
| Institution: | Department of Mathematics, Longnan Teachers College, Gansu 742500, P. R. China; School of Mathematics and Statistics, Lanzhou University, Gansu 730000, P. R. China |
| |
| Abstract: | In this paper, we propose two species competition model in a chemostat that uses a nonlocal delayed chemostat model of a single species feeding on a periodically varying input nutrient. By the theory of semigroup, the existence and uniqueness of solution of the system is obtained. Furthermore, we show the competitive exclusion principle for the model, and the sufficient conditions of the coexistence of the system is established. |
| |
| Keywords: | chemostat nonlocal delay competition exclusion principle coexistence |
|
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
|
