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带有多时滞疾病的捕食-被捕食系统的稳定性
  • ISSN号：0455-2059
  • 期刊名称：《兰州大学学报：自然科学版》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]陕西师范大学数学与信息科学学院,西安710062
  • 相关基金：国家申然科学基金项目（11171199）;中央高校基本科研业务费专项资金项目（CK201302006）
作者： 王烈[1], 陈斯养[1]
关键词： 捕食-被捕食系统, 渐近稳定性, 时滞, 疾病, prey-praetor system, asymptotically stability, delay, disease
中文摘要：

建立并分析了一个具有多时滞的疾病在食饵和捕食者中都染病的捕食-被捕食模型．首先得到了边界平衡点及正平衡点存在的条件，然后利用特征根法得到含有多时滞的非线性特征方程，通过讨论得到平衡点局部渐近稳定的充分条件，研究了各平衡点是否可以出现Hopf分支现象．数值模拟也验证了理论分析．

英文摘要：

A delayed prey-predator system with disease in prey and predator was investigated. ~lrst ~ne sufficient conditions for the existence of the positive equilibrium point and the infection-free equilibrium point were acquired, and then the nonlinear characteristic equation was acquired using the method of characteristic roots. Next the sufficient conditions that the equilibrium points are local asymptotically stability were obtained. Furthermore the Hopf bifurcation behavior of the equilibrium point time was discussed. At last some numerical simulations were carried out to support the theoretical analysis of the research.

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期刊信息
  • 《兰州大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:兰州大学
  • 主编：涂永强
  • 地址：兰州市天水南路222号
  • 邮编：730000
  • 邮箱：jns@lzu.edu.cn
  • 电话：0931-8912707
  • 国际标准刊号：ISSN：0455-2059
  • 国内统一刊号：ISSN：62-1075/N
  • 邮发代号:54-3
  • 获奖情况:
  • 全国自然科学类核心期刊,甘肃省优秀科技期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘,中国北大核心期刊（2000版）
  • 被引量:12892