| 一类具时滞依赖的生态-流行病模型的稳定性切换与控制 |
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| 引用本文： | 李顺异,熊佐亮,舒志平.一类具时滞依赖的生态-流行病模型的稳定性切换与控制[J].江西师范大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 李顺异 熊佐亮 舒志平 |
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| 作者单位： | 南昌大学数学系,江西,南昌,330031 |
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| 摘 要： | 研究了一类具有时滞依赖的生态-流行病模型,分析了系统正解的边界和平衡点的稳定性,应用稳定性切换标准讨论了正平衡点的稳定性切换.数值模拟揭示了系统的稳定性切换现象和周期振动,讨论了参数对系统的不稳定性区域的影响.
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| 关 键 词： | 时滞依赖 生态-流行病模型 稳定性切换 周期振动 |
Stability Switches and Controlling of an Eco-Epidemiological Model with Delay-Dependent |
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| LI Shun-yi,XIONG Zuo-liang,SHU Zhi-ping.Stability Switches and Controlling of an Eco-Epidemiological Model with Delay-Dependent[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(1). |
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| Authors: | LI Shun-yi XIONG Zuo-liang SHU Zhi-ping |
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| Institution: | Department of Mathematics;Nanchang University;Nanchang 330031;China |
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| Abstract: | This paper considers an eco-epidemiological model with delay-dependent.The boundedness of solutions and stability of the equilibrium points are investigated.By using stability switch criteria studying the stability switch of the positive equilibrium,numerical simulations show stability switch and periodic oscillation.Parameters a.ecting the instability regions of the system are discussed. |
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| Keywords: | delay-dependent eco-epidemiological model stability switches periodicoscillation |
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