GLOBAL STABILITY AND HOPF BIFURCATION ON A PREDATOR-PREY SYSTEM WITH DIFFUSION AND DELAYS

摘要

In this paper a predator-prey system with diffusion and two delays is considered, where the time delays are regarded as parameters. Its dynamics are studied in terms of permanence analysis and Hopf bifurcation analysis. By constructing a suitable Lyapunov function, sufficient conditions are obtained for both local and global stability of the positive equilibrium. An example is presented to show the main conclusion.