RELAXATION IN POPULATION DYNAMICS MODELS WITH HYSTERESIS

被引：5
作者：
Timoshin, Sergey A. [1 ,2 ]
Aiki, Toyohiko [3 ]
机构：
[1] Huaqiao Univ, Fujian Prov Univ Key Lab Computat Sci, Sch Math Sci, Quanzhou 362021, Peoples R China
[2] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Lermontov Str 134, Irkutsk 664033, Russia
[3] Japan Womens Univ, Dept Math & Phys Sci, Fac Sci, Bunkyo Ku, 2-8-1 Mejirodai, Tokyo 1128681, Japan
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2021年 / 59卷 / 01期
基金：
中国国家自然科学基金;
关键词：
biological diffusion models; hysteresis; evolution control systems; state-dependent constraints; relaxation;
D O I：
10.1137/19M1279551
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The present paper is concerned with a nonlinear partial differential control system subject to a state-dependent and nonconvex control constraint. This system models the dynamics of populations in the vegetation-prey-predator framework and takes account of diffusive and hysteresis effects appearing in the process. We prove the existence of solutions to our system and show that they are close in a suitable sense to solutions of the system with the convexified control constraint.
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页码：693 / 708
页数：16
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