almost periodicity;
coincidence degree;
competitor-competitormutualist;
Lotka-Volterra;
D O I:
10.1504/IJDSDE.2015.069881
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
By using Mawhin's continuation theorem of coincidence degree theory and constructing a suitable Lyapunov functional, a set of easily verifiable conditions are obtained for the existence and global asymptotical stability of a unique positive almost periodic solution of competitor-competitormutualist Lotka-Volterra systems with time delays. An example and simulations are employed to illustrate the main results of this paper.
机构:
College of Mathematics and System Sciences, Xinjiang University, Urumqi,830017, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi,830017, China
机构:
Faculty of Mathematics and Informatics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay HanoiFaculty of Mathematics and Informatics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay Hanoi
机构:
Sanei Hytechs Co Ltd, Koyasucho, Hamamatsu, Shizuoka 4350015, JapanSanei Hytechs Co Ltd, Koyasucho, Hamamatsu, Shizuoka 4350015, Japan
Kobayashi, Manami
Suzuki, Takashi
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机构:
Osaka Univ, Grad Sch Engn Sci, Div Math Sci, Machikaneyamacho, Toyonaka, Osaka 5608531, JapanSanei Hytechs Co Ltd, Koyasucho, Hamamatsu, Shizuoka 4350015, Japan
Suzuki, Takashi
Yamada, Yoshio
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机构:
Waseda Univ, Dept Appl Math, Shinjuku Ku, 3-4-1 Ohkubo, Tokyo 1698555, JapanSanei Hytechs Co Ltd, Koyasucho, Hamamatsu, Shizuoka 4350015, Japan