| 摘要: |
| 研究了一类具有一般功能反应函数的随机捕食-食饵模型。首先，证明了模型全局正解的存在唯一性.其次，给出并证明了捕食者与食饵灭绝的充分条件,最后，数值模拟验证了理论分析结果. |
| 关键词: 捕食-食饵模型 一般功能反应函数 灭绝 |
| DOI：10.20192/j.cnki.JSHNU（NS）.2024.05.002 |
| 分类号:O175.12 |
| 基金项目:上海市自然科学基金（19ZR 1437100） |
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| Dynamic analysis of a stochastic predator-prey model |
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SHAN Chengxia, XIAO Xiaoxuan, YANG Zhenzhen, WANG Ning, LYU Xiang
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Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| This paper studies a class of stochastic predator-prey models with general functional response functions. Firstly, the existence and uniqueness of the global positive solution of the model are proved. Secondly, a sufficient condition for the extinction of predator and prey is provided and proved. Finally, numerical simulation verifies the theoretical analysis results. |
| Key words: predator-prey model general response functions extinction |
