一类Lotka-Volterra竞争模型中行波的最小波速选择机制

Minimum-speed Selection Mechanism of Traveling Waves in a Class of Lotka-Volterra Competition Model

对一类经典Lotka-Volterra系统中非局部扩散的两种群竞争模型进行了研究。首先,将其转化为合作系统,在单稳态条件被满足的情况下,通过构造各种新的上下解,得到了系统的最小波速是线性或者非线性的新结果,以及在线性和非线性选择条件下各参数之间的关系。

The two-group competition model with non-local diffusion in a class of classic Lotka-Volterra system is studied.First,turning it into a collaborative system,under the condition that the monostable condition is satisfied,by constructing various new upper and lower solutions,it obtains new results that the minimum wave velocity of the system is linear or nonlinear,and the relationship between the parameters under the linear and nonlinear selection.