Exact null controllability of the Lobesia botrana model with diffusion

被引：14
|
作者：
He, Yuan [1 ,2 ]
Ainseba, Bedr'Eddine [2 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[2] Univ Bordeaux, Inst Math Bordeaux, UMR CNRS 5251, F-33076 Bordeaux, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期
关键词：
Population dynamics; Integro-partial differential equations; Exact null controllability; Fixed point theorem; POPULATION-DYNAMICS;
D O I：
10.1016/j.jmaa.2013.07.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to analyze the exact null controllability of the diffusive Lobesia botrana model with nonlocal boundary condition. We study the null controllability of butterfly population by acting on eggs, larvas and female moths in a small age interval. We assume that the control of female moths is in a certain given region of the vineyard. The main result is established by combining some estimations and the Carleman inequality for the backward system related to an optimal control problem. A fixed point theorem is then used to draw the conclusion. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：530 / 543
页数：14
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