删除或更新信息,请邮件至freekaoyan#163.com(#换成@)

研究带有收获项的延迟Lotka-Volterra型区域竞争系统八个正周期解的存在性

本站小编 Free考研考试/2021-12-27

研究带有收获项的延迟Lotka-Volterra型区域竞争系统八个正周期解的存在性 吕小俊1, 张天伟2, 赵凯宏31. 云南大学旅游文化学院信息科学与技术系, 丽江 674199;
2. 昆明理工大学城市学院, 昆明 650051;
3. 昆明理工大学应用数学系, 昆明 650093 Eight Positive Periodic Solutions of Delay Lotka-Volterra Competition Patch Systems with Harvesting Terms LÜ Xiaojun1, ZHANG Tianwei2, ZHAO Kaihong31. Department of Information Science and Technology, Tourism and Culture College of Yunnan University, Lijiang 674199;
2. Section of General Core Courses in City College, Kunming University of Science and Technology, Kunming 650051;
3. Department of Applicate Maths, Kunming University of Science and Technology, Kunming 650093
摘要
图/表
参考文献(0)
相关文章(1)
点击分布统计
下载分布统计
-->

全文: PDF(314 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)
摘要通过使用叠合度理论中的Mawhin连续定理和一些微分不等式,研究带有收获项的延迟Lotka-Volterra型区域竞争系统的动态特征,从而,获得带有收获项的延迟Lotka-Volterra型区域竞争系统存在八个正周期解的充分条件.
服务
加入引用管理器
E-mail Alert
RSS
收稿日期: 2014-10-08
PACS:O175.14
基金资助:国家自然科学基金(11161025),云南大学旅游文化学院重点项目(2015XYZ03)资助.
引用本文:
吕小俊, 张天伟, 赵凯宏. 研究带有收获项的延迟Lotka-Volterra型区域竞争系统八个正周期解的存在性[J]. 应用数学学报, 2016, 39(2): 237-248. LÜ Xiaojun, ZHANG Tianwei, ZHAO Kaihong. Eight Positive Periodic Solutions of Delay Lotka-Volterra Competition Patch Systems with Harvesting Terms. Acta Mathematicae Applicatae Sinica, 2016, 39(2): 237-248.
链接本文:
http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2016/V39/I2/237


[1] Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Boston: Academic Press, 1993
[2] Cushing J M. Integrodifferential Equations and Delay Models in Population Dynamics. Lecture Notes in Biomathematics. New York: Springer-Verlag, 1977
[3] Clark C W. Mathematical Bioeconomics, Second ed., the Optimal Management of Renewable Resources. New York-Toronto: John Wiley and Sons, 1990
[4] Fang H, Xiao Y F. Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting. Applied Mathematical Modelling, 2009, 33: 1086-1096
[5] Zhao K H, Li Y K. Four positive periodic solutions to two species parasitical system with harvesting terms. Computers and Mathematics with Applications, 2010, 59: 2703-2710
[6] Lin W, Chen L. Positive periodic solutions of delayed periodic Lotka-Volterra systems. Phys. Lett.A, 2005, 334: 273-287
[7] Li Y K. Positive periodic solutions of discrete Lotka-Volterra competition systems with state dependent delays. Appl. Math. Comput., 2007, 190: 526-531
[8] Li Y K. Positive periodic solutions of periodic neutral Lotka-Volterra systems with state dependent delays. J. Math. Anal., 2007, 330: 1347-1362
[9] Hu D W. Zhang Z Q. Four positive periodic solutions to a Lotka-Volterra cooperative system with harvesting terms. Nonlinear Anal. RWA, 2010, 11: 1115-1121
[10] Gaines R. Mawhin, Coincidence Degree and Nonlinear Differetial Equiations. Berlin: Springer-Verlag, 1977

[1]廖华英, 周正. 一类带收获项的离散Lotka-Volterra合作系统的四个正周期解[J]. 应用数学学报, 2016, 39(3): 441-451.



PDF全文下载地址:

http://123.57.41.99/jweb_yysxxb/CN/article/downloadArticleFile.do?attachType=PDF&id=14147
相关话题/系统 统计 应用数学 云南大学 昆明理工大学