一类捕食—被捕食系统的恢复率  

Recovery rate of a kind of predator-prey system

作　　者：李伟[1] 戴永贤[1] 

机构地区：[1]辽宁工程技术大学理学院,辽宁阜新123000

出　　处：《辽宁工程技术大学学报（自然科学版）》2010年第6期1161-1164,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(50874057)

摘　　要：为了研究捕食者的捕获率受到被捕食者最大容量影响条件下的一类捕食模型对应的生态系统的恢复率与被捕食者最大容量之间的关系,采用"系统的稳定均衡点处的Jacobian矩阵的主特征值的实部的绝对值"作为"恢复率",并通过理论与图像进行了分析,结果表明:此系统的预警长度较短,模型有较好的实际意义。In order to study the relationship between the recovery rate of a ecosystem,which is corresponding to predator-prey model whose capture rate is affected by the maximum capacity of the prey,and the maximum capacity of the prey,this paper calculates the recovery rate as the absolute value of the real part of the dominant eigenvalue in Jacobian matrix of partial derivatives at each equilibrium point of the ecosystem.Also,an analysis is conducted using theoretical and graphical means.The study results show that the warning length of the model is short and it has potential for a practical application.

关 键 词：捕食—被捕食系统 恢复率 均衡点 

分 类 号：O175.1[理学—数学]