具有随机扰动的广义“食物有限”种群模型正解的存

Existence and Uniqueness of Position Solutions to the General “Foodlimited” Species Model with Random Perturbation

ZHAO Yanan¹,², WENG Shiyou¹

1. Department of Applied Mathematics, Changchun University, Changchun 130022, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2007-01-18 Revised:1900-01-01 Online:2007-11-26 Published:2007-11-26
Contact: ZHAO Yanan

Abstract

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.

Key words: stochastic differential equation, position solution, existence, uniqueness

CLC Number:

O175.08

ZHAO Yanan,, WENG Shiyou. Existence and Uniqueness of Position Solutions to the General “Foodlimited” Species Model with Random Perturbation[J].J4, 2007, 45(06): 919-922.

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Existence and Uniqueness of Position Solutions to the General “Foodlimited” Species Model with Random Perturbation

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