Smooth Solution in an N-Dimensional Chemotaxis Model With Intraguild Predation

被引:0
作者
Pu, Liqiong [1 ]
Tang, Haotian [2 ]
Zheng, Jiashan [1 ]
机构
[1] Yantai Univ, Sch Math & Informat Sci, Yantai, Shandong, Peoples R China
[2] Univ Macau, Fac Sci & Technol, Dept Math, Taipa, Macao, Peoples R China
基金
中国国家自然科学基金;
关键词
boundedness; Chemotaxis; global existence; intraguild predation model; KELLER-SEGEL SYSTEM; FOOD-CHAIN; BOUNDEDNESS; DYNAMICS; DELAY;
D O I
10.1002/mma.10694
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a reaction-diffusion intraguild predation model with chemotaxis {s(t) = Delta s (1 - s)s - us - vs, x is an element of Omega, t > 0, u(t )= Delta u + del <middle dot> (u del v) + us -u(r )- uv, x is an element of Omega, t > 0, v(t )= Delta v + vs - v + uv, x is an element of Omega, t > 0, which describes the combined effects of competition and predation in a three-component ecosystem. Here, Omega subset of & Ropf;(N) (N >= 2) is a bounded domain with smooth boundary and r is a positive constant. Under homogeneous Neumann boundary conditions, we proved that if r > 1 + N/2, this system admits a global classical solution which is bounded for any sufficiently smooth initial data. Notably, our result extends the 1-D global existence result (see Remark 1.1).
引用
收藏
页码:6553 / 6560
页数:8
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