一类带Lévy噪声的随机捕食-被捕食系统A Stochastic Predator-prey System with Lévy Jumps
黄开娇;肖飞雁;
摘要(Abstract)：
本文建立了一类带Bedding-DeAngelis功能反应和Lévy噪声的随机捕食-被捕食系统,利用构建Lyapunov函数和停时技巧证明了该系统存在唯一的全局正解。在此基础上,通过构建函数证明这个解是随机最终有界的。最后,给出了物种趋于灭绝的充分条件。
关键词(KeyWords)： Beddington-DeAngelis捕食模型;Lévy噪声;灭绝性
基金项目(Foundation): 国家自然科学基金(11301099,11461008);; 广西高等学校高水平创新团队及卓越学者计划
作者(Authors): 黄开娇;肖飞雁;
DOI: 10.16088/j.issn.1001-6600.2017.02.010
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