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中文摘要：
比较研究了确定和随机Logistic种群模型的性质、最优捕获问题及生态学含义,特别探讨了随机模型解的存在性、渐进性及稳定性。数值模拟支撑了理论分析的结果。研究认为,随机干扰不利于再生生物资源的开发,噪声强度越大,最优捕获努力量和可持续捕获量的数学期望的最大值就越小而方差越大。
英文摘要：
It comparative studies the property, the problem o{ best capture and the biological meaning of deterministic logistic model and stochastic Logistic model, special studies the existence, progressive, and stability of the solution with stochastic model. Numeri- cal simulation supports the theoretical results. It gets that random interference is not conducive to the development of renewable bio- logical resources. If the noise is greater, the maximum mathematical expectation of optimal capture effort and sustainable yield de- creases, but the variance increases.
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