Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models

被引：12
|
作者：
Magal, Pierre [1 ,2 ]
Seydi, Ousmane [3 ]
Wang, Feng-Bin [4 ,5 ]
机构：
[1] Univ Bordeaux, IMB, UMR 5251, F-33400 Talence, France
[2] CNRS, UMR 5251, IMB, F-33400 Talence, France
[3] Ecole Polytech Thies, Dept Tronc Commun, Thies, Senegal
[4] Chang Gung Univ, Ctr Gen Educ, Dept Nat Sci, Taoyuan 333, Taiwan
[5] Chang Gung Mem Hosp, Community Med Res Ctr, Keelung 204, Taiwan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 479卷 / 01期
关键词：
Semilinear differential equations; Non-dense domain; Integrated semigroup; Monotone semiflow; Comparison principle; Age structured population dynamics models; INTEGRATED SEMIGROUPS; STABILITY;
D O I：
10.1016/j.jmaa.2019.06.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we first derive some sufficient conditions to establish the monotonicity and comparison principles of the semi-flow generated by non-densely defined Cauchy problems. We apply our results to a class of age structured population models. As a consequence we obtain a monotone semi-flow theory and some comparison principles for age structured models. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：450 / 481
页数：32
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