The effect of dispersal on single-species nonautonomous dispersal models with delays
The effect of dispersal on single-species nonautonomous dispersal models with delays
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DOI：
10.1007/s002850000076
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发表时间：
2001-05
影响因子：
1.9
通讯作者：
Z. Teng;Zhengyi Lu
中科院分区：
文献类型：
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作者：
Z. Teng;Zhengyi Lu
本文研究了一类具有时滞的单种群非自治扩散模型。关于扩散对持续生存和绝灭的影响，得到了一个有趣的结果。也就是说，如果该物种在一个斑块中持续存在，那么它在所有其他斑块中也持续存在;如果该物种在一个斑块中是永久的，那么它在所有其他斑块中也是永久的;如果该物种在一个斑块中灭绝，那么它在所有其他斑块中也灭绝了。此外，建立了斑块中物种持续生存和绝灭的新的充分条件。利用Teng和Chen关于泛函微分方程正周期解存在性的结果，在周期情形下得到了正周期解的存在性.
In this paper, single-species nonautonomous dispersal models with delays are considered. An interesting result on the effect of dispersal for persistence and extinction is obtained. That is, if the species is persistent in a patch then it is also persistent in all other patches; if the species is permanent in a patch then it is also permanent in all other patches; if the species is extinct in a patch then it is also extinct in all other patches. Furthermore, some new sufficient conditions for the permanence and extinction of the species in a patch are established. The existence of positive periodic solutions is obtained in the periodic case by employing Teng and Chen's results on the existence of positive periodic solutions for functional differential equations.