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

作　　者：张唯一 朱姗姗 周玲[1] ZHANG Weiyi;ZHU Shanshan;ZHOU Ling(School of Mathematical Science,Yangzhou University,Yangzhou 225002,Chin)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2018年第2期35-39,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11401515)

摘　　要：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.

关 键 词：捕食-被捕食模型 非局部反应扩散方程 自由边界 全局解 

分 类 号：O29[理学—应用数学] O175.26[理学—数学]