Permanence of dispersal population model with time delays
Permanence of dispersal population model with time delays
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DOI：
10.1016/j.cam.2005.06.002
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发表时间：
2006-08
影响因子：
2.4
通讯作者：
Y. Takeuchi;Jing'an Cui;R. Miyazaki;Yasuhisa Saito
中科院分区：
文献类型：
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作者：
Y. Takeuchi;Jing'an Cui;R. Miyazaki;Yasuhisa Saito
研究了一类扩散单种群模型的持久性，其中环境被划分为若干斑块，种群在斑块间扩散需要一定的时间。该模型由时滞微分方程描述。食物丰富的补丁和补丁之间的小分散的存在被证明是足够的，以确保部分持久性的模型。它还表明，部分持久性确保持久性，如果每个食物贫乏的补丁连接到至少一个食物丰富的补丁，如果每对食物丰富的补丁连接。此外，证明了部分持久性，确保即使在大的分散在食物丰富的斑块，如果分散时间相对较小。
Permanence of a dispersal single-species population model is considered where environment is partitioned into several patches and the species requires some time to disperse between the patches. The model is described by delay differential equations. The existence of food-rich patches and small dispersions among the patches are proved to be sufficient to ensure partial permanence of the model. It is also shown that partial permanence ensures permanence if each food-poor patch is connected to at least one food-rich patch and if each pair in food-rich patches is connected. Furthermore, it is proved that partial persistence is ensured even under large dispersion among food-rich patches if the dispersion time is relatively small.