Control of biological models with hysteresis

被引:5
作者
Timoshin, Sergey A. [1 ,2 ]
Aiki, Toyohiko [3 ]
机构
[1] Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Fujian, Peoples R China
[2] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Lermontov Str 134, Irkutsk 664033, Russia
[3] Japan Womens Univ, Fac Sci, Dept Math & Phys Sci, Bunkyo Ku, 2-8-1 Mejirodai, Tokyo 1128681, Japan
关键词
Control systems; Hysteresis; Biological diffusion models;
D O I
10.1016/j.sysconle.2019.04.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article presents a control problem in population dynamics when diffusive and hysteretic effects in the evolution of population are taken into account. Namely, we consider a diffusive prey-predator model, in a bounded domain, with a parameter corresponding to the quantity of food for the preys. In the model, the evolution of the food density is described by a hysteresis operator of the generalized play type whose inputs are the densities of preys/predators. Roughly speaking, the rate of change of the food density depends not only on the present state of preys/predators, but also on their immediately preceding density history. Our main concern is to extend the previous research of this model by controlling the food supply and to study the well-posedness of the corresponding dynamical control problem. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:41 / 45
页数:5
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