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一类具有寄生虫感染的捕食食饵模型分析
  • ISSN号：1672-3600
  • 期刊名称：《商丘师范学院学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000
  • 相关基金：Research supported by the National Natural Science Foundation of China（10771179）
作者： 周学勇[1], 师向云[1], 宋新宇[1]
关键词： 捕食食饵模型, 局部稳定性, 持续性, HOPF分支, predator-prey model, local stability, permanence, Hopf bifurcation
中文摘要：

建立了一类食饵受寄生虫感染的生态-流行病模型,讨论了系统的非负不变性和解的有界性,得到了系统平衡点局部渐进稳定的充分条件;研究了系统的持续性,给出了系统产生Hopf分支的条件.

英文摘要：

In this paper, a predator-prey system in which some members of the prey population and all predators are subjected to infection by a parasite is analyzed. Mathematical analysis of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibrium, permanence and local stability is given. It is also shown that for some parameter values, its positive equlibrium is asymptotically stable, but for other parameter values, it is unstable and a surrounding periodic solution appears by Hopf bifurcation.

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期刊信息
  • 《商丘师范学院学报》
  • 主管单位:河南省教育厅
  • 主办单位:商丘师范学院
  • 主编：司林胜
  • 地址：河南省商丘市平原路55号
  • 邮编：476000
  • 邮箱：sqsysr@126.com sqsyzr@126.com
  • 电话：0370-3126863
  • 国际标准刊号：ISSN：1672-3600
  • 国内统一刊号：ISSN：41-1303/Z
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  • 被引量:5467