Optimal control of a chemotaxis system

被引：21

作者：

Fister, KR ^{[1
]}

McCarthy, CM ^{[1
]}

机构：

[1] Murray State Univ, Dept Mat & Stat, Murray, KY 42071 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2003年 / 61卷 / 02期

关键词：

D O I：

10.1090/qam/1976365

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Chemotaxis is the process by which cells aggregate under the force of " chemical attractant. The cell and chemoattractant concentrations are governed by " coupled system of parabolic partial differential equations. We investigate the optimal control of the proportion of cells being generated in two settings. One involves harvesting the actual cells and the other depicts removing a proportion of the chemoattractant. The optimality system for each problem contains forward and backward reaction-diffusion and convection-diffusion equations. Numerical results are presented.

引用

页码：193 / 211

页数：19

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