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Existence of Four Periodic Solutions of a Ratio-Dependent Predator-Prey Model with Exploited Terms 被引量:1
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作者 TIAN Desheng ZHANG Zhengqiu 《Wuhan University Journal of Natural Sciences》 CAS 2008年第1期1-5,共5页
We study a non-autonomous ratio-dependent predator-prey model with exploited terms. This model is of periodic coefficients, which incorporates the periodicity of the varying environment. By means of the coincidence de... We study a non-autonomous ratio-dependent predator-prey model with exploited terms. This model is of periodic coefficients, which incorporates the periodicity of the varying environment. By means of the coincidence degree theory, we establish sufficient conditions for the existence of at least four positive periodic solutions of this model. 展开更多
关键词 predator-prey model RATIO-DEPENDENT exploited term periodic solution coincidence degree
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Existence of at Least Two Periodic Solutions of a Ratio-dependent Predator-prey Model with Exploited Term 被引量:23
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作者 De-sheng Tian Xian-wu Zeng 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期489-494,共6页
In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positi... In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positive periodic solutions of this model. 展开更多
关键词 Predator-prey model RATIO-DEPENDENT exploited term periodic solution coincidence degree
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Multiple positive periodic solutions for a generalized delayed population model with an exploited term 被引量:1
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作者 Zheng-qiu ZHANG Zhi-cheng WANG 《Science China Mathematics》 SCIE 2007年第1期27-34,共8页
In this paper, the existence of two positive periodic solutions for a generalized delayed population model with an exploited term is established by using the continuation theorem of the coincidence degree theory.
关键词 two positive periodic solutions generalized delayed population model continuation theorem of coincidence degree theory exploited term 34K13
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