食饵染病生态流行病系统的稳定性与最优收获  

The Stability of Eco-epidemiological Model with Infected Prey and Optimal Harvesting

作　　者：吉学盛 毛兴宇[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2015年第1期71-75,共5页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金资助项目(2011J01014)

摘　　要：讨论了一类在食饵种群中带有传染病结构的捕食-食饵模型,确定了各平衡点存在的阈值条件.利用特征根法、Hurwitz判别法和Lyapunov-La Salle不变集法,得到了各个平衡点稳定性的结论以及在满足正平衡态全局稳定条件下的最优收获策略.An epidemic model of a predator-prey system with infectious disease in the prey population was discussed. The conditions and threshold to the existence of various equilibriums were established. By using the characteristic root method,Hurwitz criterion and Lyapunov-La Salle invariant set theorem,the stable results of various equilibriums and optimal harvesting based on the global stability of the positive equilibriums were obtained.

关 键 词：捕食-食饵系统 平衡点 稳定性 最优收获 

分 类 号：O175.13[理学—数学]