具有双自由边界的捕食-被捕食模型解的存在唯一性

The existence and uniqueness of the predator-prey model solution with double free boundaries

根据压缩映射原理证明具有双自由边界和非局部项的捕食-被捕食模型解的局部存在唯一性,给出解的先验估计,并利用先验估计证明了解的全局存在唯一性.

In this paper, the author uses a contraction mapping argument to prove the local existence and uniqueness of the solution to a nonlocal reaction diffusion predator prey model with double ftee boundaries. Then, the prior estimates of solution is proven. By using a prior estimates on the solu tion, the existence and uniqueness of a global solution are finally proven.