| 一类带收获和毒素项捕食扩散系统的局部稳定性分析 |
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| 引用本文： | 武海辉,王秋芬.一类带收获和毒素项捕食扩散系统的局部稳定性分析[J].河南科学,2014(8):1391-1394. |
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| 作者姓名： | 武海辉 王秋芬 |
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| 作者单位： | 安康学院 数学与统计系,陕西安康,725000 |
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| 基金项目： | 国家自然科学基金项目(61152003)；安康学院重点学科核心问题资助项目(ZDXKZX012)；安康学院高层次人才科研资助项目 |
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| 摘 要： | 运用常微分方程定性与稳定性理论研究了一类带收获和毒素项捕食扩散系统的局部稳定性.找出了正平衡点存在的条件,并得出当系统满足一定的条件时,系统的正平衡点是局部渐近稳定的,补充和完善了前人的结果.
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| 关 键 词： | 收获 毒素项 正平衡点 渐近稳定性 |
The Local Stability of a Class of Diffusive Model with Gain and Toxicity |
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| Wu Haihui,Wang Qiufen.The Local Stability of a Class of Diffusive Model with Gain and Toxicity[J].Henan Science,2014(8):1391-1394. |
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| Authors: | Wu Haihui Wang Qiufen |
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| Institution: | , Wu Haihui, Wang Qiufen (Department of Mathematics and Statistics, Ankang University, Ankang 725000, Shaanxi China) |
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| Abstract: | The local behavior of a class of a predator-prey diffusive model with gain and toxicity is studied by using qualitative and stability theory of differential equation in this paper. The conditions that the positive equilibrium exists are found. That the positive equilibrium of the system is local asymptotical stable is given when certain conditions are satisfied in the model,then the conclusion is renewed. |
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| Keywords: | gain toxicity positive equilibrium asymptotical stability |
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