| 具有随机扰动的广义“食物有限”种群模型正解的存 |
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| 引用本文： | 赵亚男,翁世有.具有随机扰动的广义“食物有限”种群模型正解的存[J].吉林大学学报(理学版),2007,45(6):919-922. |
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| 作者姓名： | 赵亚男 翁世有 |
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| 作者单位： | 1. 长春大学 应用数学系, 长春 130022; 2. 东北师范大学 数学与统计学院, 长春 130024 |
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| 摘 要： | 研究具有随机扰动的广义“食物有限”种群模型, 证明了模型的解是全局正解, 并通过作对数变换, 应用随机微分方程解的存在惟一性定理, 给出了模型正解的存在惟一性. 结果表明, 环境白噪声的存在并未影响原确定性种群模型解的存在惟一性.
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| 关 键 词： | 随机微分方程 正解 存在性 惟一性 |
| 文章编号： | 1671-5489（2007）06-0919-04 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-01-18 |
Existence and Uniqueness of Position Solutions to the General "Food-limited" Species Model with Random Perturbation |
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| ZHAO Ya-nan,WENG Shi-you.Existence and Uniqueness of Position Solutions to the General "Food-limited" Species Model with Random Perturbation[J].Journal of Jilin University: Sci Ed,2007,45(6):919-922. |
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| Authors: | ZHAO Ya-nan WENG Shi-you |
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| Institution: | 1. Department of Applied Mathematics, Changchun University, Changchun 130022, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | The paper discusses a general “food limited” species model with random perturbation. It first proves that the solution of the model is positive and global. Thus we can make the change of logarithm variable and show the existence and uniqueness of positive solutions of the model by applying stochastic differential equation theories. Compared with the original determinate species model, the presence of such an environmental noise doesn’t affect the results we have obtained. |
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| Keywords: | stochastic differential equation position solution existence uniqueness |
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