摘要
讨论了一类新型的具有交叉扩散项的捕食-食饵模型非常数正解的存在性。首先,给出了正解的先验估计;其次,利用度理论得到非常数正解的存在性。结果表明:对于给定的交叉扩散系数,当捕食者与食饵的增长率控制在一定范围内时,两物种可以共存。
The existence of non constant positive solutions for a new predator prey model with cross diffusion is studied.Firstly,a priori estimate of positive solutions is given.Then,the existence of non constant positive solutions is given by using degree theory.The result shows that for fixed cross diffusion coefficients,the predator and prey can coexist when the growth rates of them are controlled in a certain range.
作者
王晶晶
贾云锋
WANG Jingjing;JIA Yunfeng(School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China)
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2017年第6期55-59,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金(61672021)
陕西师范大学中央高校基本科研业务费专项基金(GK201701001)
关键词
捕食-食饵模型
交叉扩散
先验估计
度理论
共存性
predator prey model
cross diffusion
a priori estimate
degree theory
coexistence