Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
Changjin Xu; Qianhong Zhang; Maoxin Liao
Applications of Mathematics (2013)
- Volume: 58, Issue: 3, page 309-328
- ISSN: 0862-7940
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topXu, Changjin, Zhang, Qianhong, and 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 58.3 (2013): 309-328. <http://eudml.org/doc/252479>.
@article{Xu2013,
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.},
author = {Xu, Changjin, Zhang, Qianhong, Liao, Maoxin},
journal = {Applications of Mathematics},
keywords = {competitive system; toxic substance; periodic solution; impulse; coincidence degree theory; competitive system; toxic substance; periodic solution; impulse; coincidence degree theory},
language = {eng},
number = {3},
pages = {309-328},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses},
url = {http://eudml.org/doc/252479},
volume = {58},
year = {2013},
}
TY - JOUR
AU - Xu, Changjin
AU - Zhang, Qianhong
AU - Liao, Maoxin
TI - Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 309
EP - 328
AB - 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.
LA - eng
KW - competitive system; toxic substance; periodic solution; impulse; coincidence degree theory; competitive system; toxic substance; periodic solution; impulse; coincidence degree theory
UR - http://eudml.org/doc/252479
ER -
References
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