期刊
MATHEMATICS
卷 11, 期 13, 页码 -出版社
MDPI
DOI: 10.3390/math11132902
关键词
permanence; global attractivity; time-varying delay; Lyapunov functional; periodic solution; Lotka-Volterra competitor-competitor-mutualist system
类别
In this paper, a Lotka-Volterra (L-V) competitor-competitor-mutualist system with time-varying delays is studied. The boundedness, permanence, periodic solution, and global attractiveness of the system are analyzed and derived. Numerical simulations using MATLAB function ddesd are conducted to validate the theoretical results. Conclusions are drawn in the final section.
In this paper, a Lotka-Volterra (L-V) competitor-competitor-mutualist system with time-varying delays is studied. Some dynamical behaviors of the considered system are investigated. Firstly, we obtain the boundedness, permanence and periodic solution of the system using the comparison principle of differential equations and inequality estimation method. Then, the global attractiveness of the system is analyzed by multiple Lyapunov functionals. Meanwhile, the existence and global attractivity of positive periodic solutions is derived. In the third section, in order to validate the practicability and feasibility of the obtained theoretical results, we conducted numerical simulations using MATLAB function ddesd. Finally, the fourth section is where conclusions are drawn.
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