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Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses |
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| Authors: | Changjin Xu Qianhong Zhang Maoxin Liao |
| Institution: | 1. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, 550004, P. R. China 2. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, 550004, P. R. China 3. School of Mathematics and Physics, Nanhua University, Hengyang, 421001, P. R. China |
| Abstract: | In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established. |
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