随机环境中长程接触过程的平均场极限

A mean field limit of the contact process in a random environment with large range

在随机环境中的接触过程的程M趋于无穷大时得到了它的平均场极限,并且证明其平均场极限是一个偏微分方程的解。

In this paper, the mean field limit of the contact process in a random environment with large range is discussed. By duality, it is proved that the mean field limit of the model is the solution of the following differential equations as the rang M approaches infinity  u(t,r) t=-(d1p+d2(1-p))u(t,r)+1-u(t,r)2∫r+1r-1u(t,y)dyu(0,r)=g(r)