Geometric approach to the stability analysis of the periodic solution in a semi-continuous dynamic system
Geometric approach to the stability analysis of the periodic solution in a semi-continuous dynamic system
复制标题
半连续动态系统周期解稳定性分析的几何方法
DOI：
10.1142/s1793524514500181
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发表时间：
2014-03
影响因子：
2.2
通讯作者：
Chen, Lansun
中科院分区：
文献类型：
--
作者：
Tian, Yuan;Sun, Kaibiao;Chen, Lansun
害虫综合管理（IPM）是一种长期管理策略，已被证明在害虫控制方面更为有效。为了更好地理解IPM的作用机理和效果，所涉及的半连续动力系统的几何理论变得越来越重要。在这项工作中，应用几何方法来分析半连续动态系统中正一周期解的稳定性。建立了检验一阶周期解稳定性的稳定性判据。作为一个应用，提出了涉及化学控制的阶段结构模型，以显示所提出方法的效率。给出了保证周期解存在的充分条件。此外，还对周期解的个数和稳定性进行了相应的讨论。进行模拟以验证结果。
Integrated pest management (IPM) is a long-term management strategy and has been proved to be more effective in pest control. To well-understand the mechanism and effect of the action of IPM, the geometric theory of the involved semi-continuous dynamic systems is becoming more and more important. In this work, a geometric approach is applied to analyze the stability of the positive order-one periodic solution in semi-continuous dynamic systems. A stability criterion to test the stability of the order-one periodic solution is established. As an application, a stage-structure model involved chemical control is presented to show the efficiency of the proposed method. The sufficient conditions to insure the existence of the periodic solution are provided. In addition, the number and the stability of the periodic solutions are discussed accordingly. The simulations are carried out to verify the results.
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影响因子：
2.2
作者：
Dai, Chuanjun;Zhao, Min;Chen, Lansun
通讯作者：
Chen, Lansun
影响因子：
2.2
作者：
Chunjin Wei;Lansun Chen
通讯作者：
Chunjin Wei;Lansun Chen
影响因子：
8.6
作者：
J. C. Lenteren
通讯作者：
J. C. Lenteren
DOI：
10.1016/j.matcom.2008.11.015
发表时间：
2009-03
期刊：
Math. Comput. Simul.
影响因子：
--
作者：
L. Nie;Z. Teng;Lin-Xia Hu;Jigen Peng
通讯作者：
L. Nie;Z. Teng;Lin-Xia Hu;Jigen Peng
影响因子：
2.4
作者：
Guangzhao Zeng;Lansun Chen;Lihua Sun
通讯作者：
Guangzhao Zeng;Lansun Chen;Lihua Sun