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研究带有收获项的延迟Lotka-Volterra型区域竞争系统八个正周期解的存在性 被引量:9

Eight Positive Periodic Solutions of Delay Lotka-Volterra Competition Patch Systems with Harvesting Terms
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摘要 通过使用叠合度理论中的Mawhin连续定理和一些微分不等式,研究带有收获项的延迟Iotka-Volterra型区域竞争系统的动态特征,从而,获得带有收获项的延迟Lotka-Volterra型区域竞争系统存在八个正周期解的充分条件. By using Mawhin's continuation theorem of coincidence degree theory and dif- ferential inequality skills, we establish the existence of eight positive periodic solutions for delay Lotka-Volterra competition patch systems with harvesting terms. An example is given to show the effectiveness of the obtained results.
出处 《应用数学学报》 CSCD 北大核心 2016年第2期237-248,共12页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11161025) 云南大学旅游文化学院重点项目(2015XYZ03)资助
关键词 八个正周期解 Lotka-Volterra型 区域竞争系统 叠合度 收获项 eight positive periodic solutions Lotka-Volterra competition patch systems Coincidence degree Harvesting term
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