欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
本文研究了下列带有交叉扩散的捕食模型的稳态问题的非常数正解的存在性， {-d1△[u（1＋d3v）]=au-u^2-m1uv,x∈Ω, -d2△[v（1＋d4u）]=bv-v^2＋m2uv/r＋u,x∈Ω, δu/δv=δv/δv=0,x∈δΩ, 证明了当d4〉1/m1v-u时存在（d1,d2,d3）使得稳态问题存在非常数正解；而当d4≤1/m1v-u或者d1≥m1v-u/μ1或者a￠（m1b,a2（b））时稳态问题不存在非常数正解。
英文摘要：
This paper deals with the existence of non-constant positive solutions for the following steady state problem of a prey-predator model with cross-diffusion {-d1△[u（1＋d3v）]=au-u^2-m1uv,x∈Ω, -d2△[v（1＋d4u）]=bv-v^2＋m2uv/r＋u,x∈Ω, δu/δv=δv/δv=0,x∈δΩ, It is proved that there exists （dl, d2, d3） such that the steady state problcm has non-constant positive solutions ifd4〉1/m1v-u;whereas the steady state problem has no non-constant positive solution provided d4≤1/m1v-u,or d1≥m1v-u/μ1,or a ￠（m1b,a2（b））
同期刊论文项目
同项目期刊论文
Nonconstant positive steady states for a ratio-dependent predator prey system s with cross-diffusion
Research on prediction for coal and gas outburst based on MATLAB neural network toolbox and its appl
Existence and nonexistence of global positive solutions for degenerate parabolic equations in exteri
Nondegeneracy of positive solutions to homogeneous second-order differential systems and its applica
Blow-up results and global existence of positive solutions for the inhomogeneous evolution P-Laplaci
Necessary and sufficient conditions for the existence of nonnegative solutions of inhomogeneous p-La
Nondegeneracy and uniqueness of positive solutions for Robin problem of second order ordinary differ
期刊信息
位置：