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Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator–prey model with dispersion and time delays

Authors :
Luo, Zhenguo
Dai, Binxiang
Zhang, Qianhong
Source :
Applied Mathematics & Computation. Jan2010, Vol. 215 Issue 9, p3390-3398. 9p.
Publication Year :
2010

Abstract

Abstract: In this paper, we propose an impulsive semi-ratio-dependent predator–prey model with dispersion and time delays. By applying the continuation theorem of coincidence degree theory, we establish a set of sufficient conditions on the existence of at least one positive periodic solution. The result not only improves but also generalizes that for the case without pulses. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00963003
Volume :
215
Issue :
9
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
46761940
Full Text :
https://doi.org/10.1016/j.amc.2009.10.032