【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.更多还原

【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.更多还原