Profitless delays for extinction in nonautonomous Lotka-Volterra system
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作者:
Liu, Shengqiang
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机构:
Acad. of Math. and System Sciences, Chinese Academy of Sciences, Beijing 100080, ChinaAcad. of Math. and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
Liu, Shengqiang
[1
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Chen, Lansun
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Acad. of Math. and System Sciences, Chinese Academy of Sciences, Beijing 100080, ChinaAcad. of Math. and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
Chen, Lansun
[1
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机构:
[1] Acad. of Math. and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
We study the delayed periodic n-species Lotka-Voherra systems where the growth rate of each species is not always positive. The sufficient conditions for the extinction that are independent of the delays are obtained. Some known results are improved and generalized. Our results suggest that under some conditions, the introduction and the variance of the time delays can be both harmless and profitless. Discussion about the effect of time delays on the extinction of the system is also advanced.
机构:
Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaNanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Liao, Xinyuan
Ottyang, Zigen
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Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaNanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Ottyang, Zigen
Zhou, Shengfan
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机构:
Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R ChinaNanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China