Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model

被引：3
|
作者：
Cai, Wenli [1 ]
Jabin, Pierre-Emmanuel [2 ]
Liu, Hailiang [3 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[3] Iowa State Univ, Dept Math, Ames, IA 50011 USA
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2019年 / 29卷 / 11期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
The steady state; integro-differential equation; convergence rates; INDIVIDUAL STOCHASTIC-PROCESSES; EVOLUTIONARY DYNAMICS; REACTION-DIFFUSION; PATTERN-FORMATION; COMPETITION; POPULATION; EQUATIONS;
D O I：
10.1142/S0218202519500404
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with large time behavior of solutions to a semi-discrete model involving nonlinear competition that describes the evolution of a trait-structured population. Under some threshold assumptions, the steady solution is shown unique and strictly positive, and also globally stable. The exponential convergence rate to the steady state is also established. These results are consistent with the results in [P.-E. Jabin, H. L. Liu. Nonlinearity 30 (2017) 4220-4238] for the continuous model.
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页码：2063 / 2087
页数：25
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