具有阶段结构的时滞分数阶捕食者-食饵系统的稳定性分析 王虎¹, 田晶磊², 孙玉琴³, 于永光¹1. 中央财经大学统计与数学学院, 北京 100081;
2. 北京交通大学理学院, 北京 100044;
3. 内蒙古大学鄂尔多斯应用技术学院, 内蒙古 017000 Stability Analysis of Fractional Stage-structured Predator-prey Systems with Delay WANG Hu¹, TIAN Jinglei², SUN Yuqin³, YU Yongguang¹1. School of Statistics and Mathematics, Central University of Finance and Economics, Beijing 100081, China;
2. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China;
3. Mathematics Group, Ordos institute of Technology, Inner Mongolia University, Ordos 100190, China

摘要 图/表 参考文献 相关文章(15) 点击分布统计 下载分布统计 --> 全文: PDF(547 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要本文研究了具有阶段结构的时滞分数阶捕食者-食饵系统稳定性，给出了两类具有阶段结构的时滞分数阶捕食者-食饵系统，并详细的对这两类系统进行了稳定性分析，得到了平衡点的渐近稳定性条件和参数稳定区间.此外，给出了两个数值实验，证明了理论结果的有效性. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2015-02-10 PACS: O212.7 基金资助:国家自然科学基金（11371049）和中央财经大学青年教师发展基金（QJJ1520）资助项目. 引用本文: 王虎, 田晶磊, 孙玉琴, 于永光. 具有阶段结构的时滞分数阶捕食者-食饵系统的稳定性分析[J]. 应用数学学报, 2018, 41(1): 27-42. WANG Hu, TIAN Jinglei, SUN Yuqin, YU Yongguang. Stability Analysis of Fractional Stage-structured Predator-prey Systems with Delay. Acta Mathematicae Applicatae Sinica, 2018, 41(1): 27-42. 链接本文: http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2018/V41/I1/27 [1] Lotka A. Elements of Physical Biology. Maryland:Baltimore, 1925 [2] Volterra V. Variazioni e fluttuazioni del numero di individui in specie animali conviventi. Memorie dell'Accademia Lincei, 1926, 2:31-113 [3] 陈兰荪, 陈健. 非线性生物动力系统. 北京:科学出版社, 1993(Chen L S, Chen J. 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