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Existence of two periodic solutions of a ratio-dependent Holling-Taner model with infinite delay and prey harvest 被引量:5
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作者 TIAN De-sheng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期136-142,共7页
This paper considers a class of ratio-dependent Holling-Taner model with infinite delay and prey harvest, which is of periodic coefficients. By means of the coincidence degree theory, a set of sufficient conditions fo... This paper considers a class of ratio-dependent Holling-Taner model with infinite delay and prey harvest, which is of periodic coefficients. By means of the coincidence degree theory, a set of sufficient conditions for the existence of at least two positive periodic solutions of this model is established. 展开更多
关键词 holling-taner model ratio-dependent harvest periodic solution coincidence degree.
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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 Two Periodic Solutions of a Delayed Single Species Model with Feedback Regulation and Harvest Term 被引量:1
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作者 TIAN De-sheng CAI Guang-xing YANG Ce-ping 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第3期407-413,共7页
借助于巧合度理论的继续定理,有反馈规定和收获术语的一个推迟的单个种类模型的二个周期的答案的存在被获得。
关键词 二个周期的答案 耽搁的单个种类的模型 反馈规定和收获术语 巧合度理论的继续定理
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EXISTENCE OF TWO PERIODIC SOLUTIONS TO A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH PREDATOR'S HARVEST
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作者 Tian Desheng Wang Mei Zeng Xianwu 《Annals of Differential Equations》 2007年第4期492-498,共7页
In this paper, we study a non-autonomous ratio-dependent predator-prey model with predator's harvest. By means of the coincidence degree theory, we establish sufficient conditions for the existence of at least two po... In this paper, we study a non-autonomous ratio-dependent predator-prey model with predator's harvest. By means of the coincidence degree theory, we establish sufficient conditions 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 predator's harvest 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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具有收获率和非线性死亡率的脉冲Nicholoson's blowflies模型正周期解
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作者 姚晓洁 《华南师范大学学报(自然科学版)》 CAS 北大核心 2014年第5期21-25,共5页
研究了一类具有非线性收获率和非线性依赖死亡率的脉冲Nicholoson's blowflies模型.利用重合度理论和不等式分析技巧,获得了该模型至少存在一个正周期解的一些充分条件,对该模型无脉冲情形的相关研究结果进行了推广和研究.此外,给... 研究了一类具有非线性收获率和非线性依赖死亡率的脉冲Nicholoson's blowflies模型.利用重合度理论和不等式分析技巧,获得了该模型至少存在一个正周期解的一些充分条件,对该模型无脉冲情形的相关研究结果进行了推广和研究.此外,给出一个合适的例子来说明所得结果的可行性. 展开更多
关键词 非线性收获率 非线性依赖死亡率 脉冲Nicholson's blowflies模型 正周期解 重合度
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具有收获率的脉冲竞争模型的4个正概周期解 被引量:1
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作者 姚晓洁 秦发金 《华南师范大学学报(自然科学版)》 CAS 北大核心 2018年第2期94-99,共6页
研究了一类具有时滞和收获率的脉冲Plankton Allelopathy模型的正概周期解.在一些假设条件下,对其解的先验界的情形进行了细致分析,给出了4种可能情形,得到了此模型存在的4个正概周期解,补充和完善了已有的相关结果.
关键词 时滞 收获率 脉冲Plankton Allelopathy模型 正概周期解 重合度
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对“一类带收获率的离散时滞人口模型正周期解存在性”的探究
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作者 廖华英 徐向阳 胡启宙 《应用数学学报》 CSCD 北大核心 2016年第4期598-609,共12页
本文对一类带收获率的离散时滞人口模型正周期解的存在性进行了探究.以迭合度理论中的延拓定理为理论基础,通过分析变形、利用一些不等式估计技巧构造了两个有界开集,再利用Brouwer度的同伦不变性,我们计算得知在这两个有界开集中算子的... 本文对一类带收获率的离散时滞人口模型正周期解的存在性进行了探究.以迭合度理论中的延拓定理为理论基础,通过分析变形、利用一些不等式估计技巧构造了两个有界开集,再利用Brouwer度的同伦不变性,我们计算得知在这两个有界开集中算子的Brouwer度不等于零,从而得到了这类离散模型两个正周期解存在的充分条件.最后,举出两个例子来验证我们的主要结论,并提出了有待进一步解决的问题. 展开更多
关键词 两个正周期解 离散时滞人口模型 收获率 迭合度延拓定理
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