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

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...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 215; no. 9; pp. 3390 - 3398
Main Authors Luo, Zhenguo, Dai, Binxiang, Zhang, Qianhong
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 2010
Elsevier
Subjects
Coincidence degree
Delay
Dispersion
Exact sciences and technology
Logic and foundations
Mathematical analysis
Mathematical logic, foundations, set theory
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Periodic solution
Pulse
Sciences and techniques of general use
Semi-ratio-dependent predator–prey model
Set theory
Periodic solution
Semi-ratio-dependent predator–prey model
Coincidence degree
Delay
Dispersion
Pulse
Existence condition
Existence of solution
Semi-ratio-dependent predator-prey model
Numerical analysis
Sufficient condition
Applied mathematics
Positive solution
Set theory
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2009.10.032