Bioeconomic perspectives to an optimal control dengue model

被引：20
|
作者：
Rodrigues, Helena Sofia [1 ]
Monteiro, M. Teresa T. [2 ]
Torres, Delfim F. M. [3 ]
机构：
[1] Viana do Castelo Polytech Inst, Sch Business Studies, Valenca, Portugal
[2] Univ Minho, Algoritmi Ctr, Dept Prod & Syst, Braga, Portugal
[3] Univ Aveiro, Ctr Res & Dev Math & Applicat, Dept Math, P-3800 Aveiro, Portugal
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 10期
关键词：
modelling; optimal control; basic reproduction number; vector control; dengue; 49M37; 92B05; EPIDEMICS; VECTOR;
D O I：
10.1080/00207160.2013.790536
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A model with six mutually exclusive compartments related to dengue is studied. Three vector control tools are considered: insecticides (larvicide and adulticide) and mechanical control. The basic reproduction number associated to the model is presented. The problem is studied using an optimal control approach. The human data are based on the dengue outbreak that occurred in Cape Verde. Control measures are simulated in different scenarios and their consequences analysed.
引用
收藏
页码：2126 / 2136
页数：11
相关论文
共 50 条
  • [1] Optimal Control Of Pollution Rate In A Spatiotemporal Bioeconomic Model
    Agmour, Imane
    Baba, Nossaiba
    Ben Rhila, Soukaina
    Achtaich, Naceur
    El Foutayeni, Youssef
    Rachik, Mostafa
    APPLIED MATHEMATICS E-NOTES, 2024, 24 : 4 - 18
  • [2] Optimal control of a bioeconomic model applied to the recovery of household waste
    Dekkaki, Othman Cherkaoui
    Djema, Walid
    2023 AMERICAN CONTROL CONFERENCE, ACC, 2023, : 2135 - 2140
  • [3] Optimal control of a phytoplankton-zooplankton spatiotemporal discrete bioeconomic model
    Soukaina, Ben Rhila
    Imane, Agmour
    Mostafa, Rachik
    Naceur, Achtaich
    Youssef, El Foutayeni
    CHAOS SOLITONS & FRACTALS, 2022, 158
  • [4] Optimal Control of a Dengue Epidemic Model with Vaccination
    Rodrigues, Helena Sofia
    Monteiro, M. Teresa T.
    Torres, Delfim F. M.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [5] OPTIMAL POLICIES IN A BIOECONOMIC MODEL OF EUTROPHICATION
    MOSETTI, R
    APPLIED MATHEMATICS AND COMPUTATION, 1988, 26 (03) : 257 - 265
  • [6] Mathematical study and optimal control of bioeconomic model concerning harmful dinoflagellate phytoplankton
    Agmour, Imane
    Baba, Nossaiba
    Bentounsi, Meriem
    Achtaich, Naceur
    El Foutayeni, Youssef
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (04):
  • [7] Dynamics and Optimal Taxation Control in a Bioeconomic Model with Stage Structure and Gestation Delay
    Zhang, Yi
    Zhang, Qingling
    Bai, Fenglan
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [8] Mathematical study and optimal control of bioeconomic model concerning harmful dinoflagellate phytoplankton
    Imane Agmour
    Nossaiba Baba
    Meriem Bentounsi
    Naceur Achtaich
    Youssef El foutayeni
    Computational and Applied Mathematics, 2021, 40
  • [9] A Study on the Application of Optimal Control in a Bioeconomic System
    Hasan, M. Nazmul
    Uddin, M. Sharif
    Biswas, M. Haider Ali
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024, 32 (03) : 633 - 661
  • [10] Optimal control of a dengue model with cross-immunity
    Kugelmann, Bernd
    Pulch, Roland
    JOURNAL OF MATHEMATICS IN INDUSTRY, 2024, 14 (01):
12345