| 食饵有感染的时滞三维捕食-被捕食模型稳定性分析(英文) |
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| 引用本文： | 杨帆,张春蕊.食饵有感染的时滞三维捕食-被捕食模型稳定性分析(英文)[J].黑龙江大学自然科学学报,2010,27(2). |
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| 作者姓名： | 杨帆 张春蕊 |
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| 作者单位： | 东北林业大学数学系,哈尔滨,150040 |
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| 摘 要： | 食饵具有感染率的捕食-被捕食系统可以用来解释生命科学中的很多现象,该问题已经被很多学者研究。在人口动力学中,收获率对物种有重要的影响。研究了一类具有收获的食饵有感染的时滞三维捕食-被捕食模型的稳定性,同时发现当参数经过一系列临界值时,系统产生Hopf分支现象。数值仿真证明了理论结果。
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| 关 键 词： | 食饵有感染的捕食-被捕食系统 时滞微分方程 稳定 Hopf分支 周期解 |
Stability analysis in an three-dimensional infected prey-predator system with delay |
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| YANG Fan,ZHANG Chun-rui.Stability analysis in an three-dimensional infected prey-predator system with delay[J].Journal of Natural Science of Heilongjiang University,2010,27(2). |
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| Authors: | YANG Fan ZHANG Chun-rui |
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| Abstract: | Infected prey-predator system is a famous model which was applied to explain some phe-nomena in life science and studied by many authors. Harvesting has generally a strong impact on the pop-ulation dynamics of a harvested species. An three-dimensional infected delayed prey-predator system with harvesting is considered. The linear stability of the model is studied. It is found that there exists Hopf bi-furcations when the parameter passes a sequence of critical values. Computer simulations are performed to support the theoretical predictions. |
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| Keywords: | infected prey-predator system delay differential equations stability Hopf bifurcation periodic solutions |
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