| 带时滞的随机捕食—被捕食系统生存性分析 |
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| 引用本文： | 段彩霞,廖新元,吴小花.带时滞的随机捕食—被捕食系统生存性分析[J].南华大学学报(自然科学版),2015,29(1):88-93. |
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| 作者姓名： | 段彩霞 廖新元 吴小花 |
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| 作者单位： | 南华大学数理学院 |
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| 基金项目： | 南华大学研究生科研创新基金资助项目(2013XCX10) |
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| 摘 要： | 研究了一类带时滞的随机捕食—被捕食系统.在一些简单假设下,建立了两种群几乎时间均值稳定和局部灭绝的充分条件,并得到了其临界值.举出例子,借用MATLAB仿真说明主要结果.
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| 关 键 词： | 时滞 捕食—被捕食系统 随机干扰 时间均值稳定 灭绝 |
| 收稿时间： | 2014/9/10 0:00:00 |
Survival Analysis of a Delay Prey-predator System with Random Perturbations |
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| DUAN Cai-xi,LIAO Xin-yuan and WU Xiao-hua.Survival Analysis of a Delay Prey-predator System with Random Perturbations[J].Journal of Nanhua University:Science and Technology,2015,29(1):88-93. |
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| Authors: | DUAN Cai-xi LIAO Xin-yuan and WU Xiao-hua |
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| Institution: | DUAN Cai-xia;LIAO Xin-yuan;WU Xiao-hua;School of Mathematics and Physics,University of South China; |
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| Abstract: | A delay prey-predator system with random perturbations is proposed and studied.Under a simple assumption,almost sufficient conditions for stability in time average and extinction of each population are established.The critical value between stability in time average and extinction is obtained.Finally,numerical simulations are introduced to support the main results by Matlab. |
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| Keywords: | delay prey-predator system random perturbatons stability in time average extinction |
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