Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse

ZhenguoLuo; LipingLuo

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Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse

机译：反馈控制和冲击中性多数对数群体模型正周期解的存在与稳定性

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We investigate a neutral multispecies logarithmic population model with feedback control and impulse. By applying the contraction mapping principle and some inequality techniques, a set of easily applicable criteria for the existence, uniqueness, and global attractivity of positive periodic solution are established. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. We also give an example to illustrate the applicability of our results.

机译：我们通过反馈控制和脉冲来调查中性多数对数人口模型。通过应用收缩映射原理和一些不等式技术，建立了一组容易适用的存在，唯一性和正周期解决方案的全局吸引力标准。我们获得的条件弱于先前已知的条件，并且可以很容易地减少到几种特殊情况。我们还举例说明了展示了我们的结果的适用性。

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《Abstract and applied analysis》 |2013年第16期|共11页
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ZhenguoLuo; LipingLuo;
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1. Existence and Global Attractivity of Positive Periodic Solutions for The Neutral Multidelay Logarithmic Population Model with Impulse [J] . ZhenguoLuo, JianhuaHuang, LipingLuo, International Journal of Engineering Mathematics . 2013,第5期

机译：具有脉冲的中立型多延迟对数总体模型的正周期解的存在性和全局吸引性
2. Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi-Species Logarithmic Population Model with Multiple Delays and Impulses [J] . Zhenguo Luo, Jianhua Huang, Liping Luo, Open Journal of Applied Sciences . 2013,第2期

机译：具有多重时滞和脉冲的中立多种群对数种群模型正（几乎）周期解的存在性和唯一性
3. Positive periodic solution for a neutral Logarithmic population model with feedback control [J] . Wang R., Zhang X. Applied mathematics and computation . 2011,第19期

机译：具有反馈控制的中立对数总体模型的正周期解
4. Existence of three positive periodic solutions of nonlinear neutral functional differential equations with impulses and delays [C] . Yaping Ren 2011 International Conference on Multimedia Technology . 2011

机译：具脉冲和时滞的非线性中立型泛函微分方程三个正周期解的存在性。
5. Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials. [D] . Law, Kody John Hoffman. 2010

机译：具有周期势的非线性薛定inger模型中孤波的存在，稳定性和动力学。
6. Existence and exponential stability of positive almost periodic solution for Nicholson’s blowflies models on time scales [O] . Yongkun Li, Bing Li -1

机译：Nicholson的son蝇模型在时间尺度上的正周期解的存在性和指数稳定性
7. Existence and Global Attractivity of Positive Periodic Solutions for The Neutral Multidelay Logarithmic Population Model with Impulse [O] . Zhenguo Luo, Jianhua Huang, Liping Luo, 2013

机译：中立多型对数人口模型对正期定期解决方案的存在和全局吸引力

Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse

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