| 一类带毒素和收获项的扩散模型的定性分析 |
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| 引用本文： | 武海辉.一类带毒素和收获项的扩散模型的定性分析[J].河南科学,2014(2):143-146. |
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| 作者姓名： | 武海辉 |
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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： | 基金项目：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（AYQDZR201107,2013AYQDZR10） |
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| 摘 要： | 利用常微分方程定性与稳定性理论研究一类带毒素和收获项的捕食与被捕食扩散模型的整体性态.证明了该模型在第一象限内存在一个吸引域;得出系统的一切正解是强持续生存的条件;最后利用数值模拟仿真进一步验证定理的准确性.
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| 关 键 词： | 毒素 收获项 吸引域 强持续生存 |
The Qualitative Analysis of a Class of Diffusive Model with Toxicity and Gain |
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| Wu Haihui.The Qualitative Analysis of a Class of Diffusive Model with Toxicity and Gain[J].Henan Science,2014(2):143-146. |
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| Authors: | Wu Haihui |
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| Institution: | Wu Haihui (Department of Mathematics and Statistics, Ankang University, Ankang 725000, Shaanxi China) |
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| Abstract: | The global behavior of a class of a predator-prey diffusive model with toxicity and gain is studied using qualitative and stability theory of differential equation. That the attraction domain exists in the first quadrant is proved. That all positive solutions are of strong persistence is given when certain conditions are satisfied in the model. Accuracy of the theorem is verified by numerical simulating in the last. |
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| Keywords: | toxicity gain attraction domain strong persistence |
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