【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.更多还原

【Abstract】 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.更多还原