具间断系数和时滞的3种群Lotka-Volterra生态模型

The 3-species Lotka-Volterra Ecological Models with Discontinuous Coefficients and Continuous Delays

利用Fick定律和守恒原理,得到了含扩散和连续时滞的3种群Lotka-Volterra模型,他们是系数允许间断的反应扩散方程模型。同时,在一定条件下,还得到了模型逐片古典的整体解的存在唯一性。

By using Fick＇s law and the principle of conservation, this paper gets the 3 - species Lotka - Volterra models with diffusion and continuous delays. They are the models for reaction - diffusion equations with coefficients allowed to be discontinuous. This paper obtains the existence and uniqueness of global piecewise classical solutions under certain conditions.