具有密度依赖扩散的捕食食饵模型的稳定性分析

摘要

研究了一类具有非线性扩散的捕食食饵模型，讨论了耦合反应扩散系统平衡态的不稳定性，在有界区域上给出了不稳定的充分条件。结果表明交叉扩散可以导致平衡态的不稳定性。%The author studies a prey predator model with nonlinear diffusions .The instability of the uniform equilibrium of a gener-ally strongly coupled reaction diffusion is discussed .In bounded domain the sufficient conditions for the instability are obtained .it is shown that cross-diffusion can induce the instability of an equilibrium .