数学杂志2016，Vol.36Issue(5)：993-1004,12.
带有非线性收获和妊娠时滞的微分代数捕食者-食饵系统的稳定性及Hopf分支
STABILITY AND HOPF BIFURCATION FOR A DIFFERENTIAL ALGEBRAIC PREDATOR-PREY SYSTEM WITH NONLINEAR HARVESTING AND GESTATIONAL TIME DELAY
摘要
Abstract
In this paper, we investigate the stability and Hopf bifurcation for a new dif-ferential algebraic predator-prey system which combined with nonlinear harvesting in prey and gestational time delay of predator. Using bifurcation theorem and stability theorem, through con-sidering gestational time delay of predator as bifurcation parameter, we obtain the interrelated stability criterion and the related conditions of producing Hopf bifurcation at the positive equi-librium point of the proposed system, which popularize the conclusions of the general differential algebraic predator-prey system which combined with linear harvesting and time delay.关键词
生物经济学/微分代数系统/非线性收获/妊娠时滞/Hopf分支/稳定性Key words
biological economic/differential algebraic system/nonlinear harvesting/gesta-tional time delay/Hopf bifurcation/stability分类
数理科学引用本文复制引用
李蒙,陈伯山,李必文..带有非线性收获和妊娠时滞的微分代数捕食者-食饵系统的稳定性及Hopf分支[J].数学杂志,2016,36(5):993-1004,12.基金项目
Supported by the Project of Higher School Outstanding Youth Scientific and Technological Innovation Team of Hubei Province (T201412) （T201412）
