ON A NON-LINEAR SIZE-STRUCTURED POPULATION MODEL

被引：4
|
作者：
Lv, Yunfei [1 ]
Pei, Yongzhen [1 ]
Yuan, Rong [2 ]
机构：
[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Size-structure; existence and uniqueness; global attractor; uniform persistence; asymptotic smoothness; PARTIAL-DIFFERENTIAL-EQUATIONS; HOPF-BIFURCATION; GLOBAL STABILITY; WAVE-FRONTS; STAGE; GROWTH; DELAY; COMPETITION; LIFE;
D O I：
10.3934/dcdsb.2020053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a size-structured population model consisting of a quasi-linear first-order partial differential equation with nonlinear boundary condition. The existence and uniqueness of solutions are firstly obtained by transforming the system into an equivalent integral equation such that the corresponding integral operator forms a contraction. Furthermore, the existence of global attractor is established by proving the asymptotic smoothness and eventual compactness of the nonlinear semigroup associated with the solutions. Finally, we discuss the uniform persistence and existence of compact attractor contained inside the uniformly persistent set.
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页码：3111 / 3133
页数：23
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