Geodesic
Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
Applications of Mathematics, Tome 58 (2013) no. 3, pp. 309-328.

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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.
DOI : 10.1007/s10492-013-0015-5
Classification : 34K13, 34K20, 34K25, 34K45, 92D40
Keywords: competitive system; toxic substance; periodic solution; impulse; coincidence degree theory 
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Xu, Changjin; Zhang, Qianhong; Liao, Maoxin. Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses. Applications of Mathematics, Tome 58 (2013) no. 3, pp. 309-328. doi : 10.1007/s10492-013-0015-5. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0015-5/

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