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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Published in | Applied mathematics and computation Vol. 215; no. 9; pp. 3390 - 3398 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier Inc
2010
Elsevier |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0096-3003 1873-5649 |
DOI: | 10.1016/j.amc.2009.10.032 |