【摘要】 本文主要应用反应扩散方程的不变原理和构造适当的Liapunov泛函方法研究了一类反应扩散模型的唯一齐次正平衡态的全局渐近稳定性.进一步,根据Dunbar et al.(1986)和Hutson与Moran(1987)得出的动力学系统结果,我们得到了判别具有持续性的充分条件.更多还原

【Abstract】 In this paper,we discuss the globally asymptotical stability of unique homogeneous positive steady state based on the invariance principle of reaction-diffusion equations and the construction of a Liapunov functional.Further,we give the criteria for persistence,using the dynamical system results of Dunbar et al.(1986) and Hutson and Moran(1987).更多还原