Optimization of a Prey-Predator Model with Hysteresis and Convection

被引：0

作者：

Bin, Chen ^{[1
]}

Liang, Xiao Yu ^{[1
]}

Minchev, Emil ^{[2
]}

Timoshin, Sergey. A. A. ^{[1
,3
]}

机构：

[1] Huaqiao Univ, Fujian Prov Univ, Key Lab Computat Sci, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Hikari Ltd, POB 85, Ruse 7000, Bulgaria

[3] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Lermontov Str 134, Irkutsk 664033, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 198卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hysteresis; Convection; Prey-predator diffusion models; Nonconvex optimal control problems; NONCONVEX OPTIMAL-CONTROL; CONTROL-SYSTEM; RELAXATION; THEOREM; EXISTENCE; SELECTIONS; WEAK;

D O I：

10.1007/s10957-023-02225-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A nonconvex optimal control problem for a partial differential system is proposed and analyzed. Our nonlinear control system can be interpreted in the population dynamics framework when, along with diffusional, hysteretic and migratory effects in the evolution of biological species are accounted for. We prove the existence of a nearly optimal solution to the optimization problem through relaxation-type properties; we establish for the underlying minimizing cost functional and control system.

引用

页码：347 / 371

页数：25

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