具有随机扰动的广义“食物有限”种群模型正解的存在性和惟一性  

Existence and Uniqueness of Position Solutions to the General "Food-limited" Species Model with Random Perturbation

作　　者：赵亚男[1] 翁世有[1] 

机构地区：[1]长春大学应用数学系

出　　处：《吉林大学学报（理学版）》2007年第6期919-922,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10571021)

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.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.

关 键 词：随机微分方程 正解 存在性 惟一性 

分 类 号：O175.08[理学—数学]