摘要
建立并研究了一类具有S-型变收获率的非自治离散捕食系统,应用差分不等式、Brouwer不动点定理和分析技巧分别建立了系统的持久生存性,正周期解的存在性及全局渐近稳定性的充分条件,我们还给出了具体验证例子及相应的数值模拟结果.
Asymptotic behaviors of a nonautonomous discrete predator-prey model with an S-type varying harvesting in the prey species is investigated.With the help of difference inequality, Brouwer fixed-point theorem and analysis technique,sufficient conditions for the permanence, existence and global asymptotic stability of positive periodic solutions are derived,respectively, and moreover examples and their numerical simulations are presented.
出处
《生物数学学报》
CSCD
2012年第3期499-506,共8页
Journal of Biomathematics
基金
国家自然科学基金项目(11261017)
教育部科学技术重点项目(210134)
经济林木改良与资源综合利用湖北省重点实验室(2011BLKF52)
湖北民族学院创新团队项目(MY2011T007)
关键词
离散捕食系统
S-型变收获率
持久生存性
正周期解
Discrete predator-prey system
5-type variable harvesting
Permanence
Positive periodic solution
