Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage
In this paper, we study a time-periodic and delayed reaction-diffusion system with quiescent stage in both unbounded and bounded habitat domains. In unbounded habitat domain $\mathbb{R}$, we first prove the existence of the asymptotic spreading speed and then show that it coincides with the minimal...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2016-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4414 |
| Summary: | In this paper, we study a time-periodic and delayed reaction-diffusion system with quiescent stage in both unbounded and bounded habitat domains. In unbounded habitat domain $\mathbb{R}$, we first prove the existence of the asymptotic spreading speed and then show that it coincides with the minimal wave speed for monotone periodic traveling waves. In a bounded habitat domain $\Omega\subset\mathbb{R}^N\ (N\geq1)$, we obtain the threshold result on the global attractivity of either the zero solution or the unique positive time-periodic solution of the system. |
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| ISSN: | 1417-3875 |