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
  • [41] Analysis of a host-vector dynamics of a dengue disease model with optimal vector control strategy
    Saha, Sangeeta
    Samanta, Guruprasad
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 195 : 31 - 55
  • [42] Optimal control of the dengue dynamical transmission with vertical transmission
    Puntani Pongsumpun
    I.-Ming Tang
    Napasool Wongvanich
    Advances in Difference Equations, 2019
  • [43] An Optimal Integrated Vector Control for Prevention the Transmission of Dengue
    Kasbawati
    Ningsih, Surya
    Ribal, Agustinus
    Fatmawati
    INTERNATIONAL CONFERENCE ON MATHEMATICS AND NATURAL SCIENCES (ICMNS), 2019, 1245
  • [44] A bioeconomic model of downy mildew damage on grapevine for evaluation of control strategies
    Leroy, Pascal
    Smits, Nathalie
    Cartolaro, Philippe
    Deliere, Laurent
    Goutouly, Jean-Pascal
    Raynal, Marc
    Ugaglia, Adeline Alonso
    CROP PROTECTION, 2013, 53 : 58 - 71
  • [45] Modeling and optimal control of dengue disease with screening and information
    Srivastav, Akhil Kumar
    Kumar, Anuj
    Srivastava, Prashant K.
    Ghosh, Mini
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (11):
  • [46] Optimal control of the dengue dynamical transmission with vertical transmission
    Pongsumpun, Puntani
    Tang, I-Ming
    Wongvanich, Napasool
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [47] Optimal Control of Mitigation Strategies for Dengue Virus Transmission
    Ling Xue
    Xue Ren
    Felicia Magpantay
    Wei Sun
    Huaiping Zhu
    Bulletin of Mathematical Biology, 2021, 83
  • [48] Optimal Control of Mitigation Strategies for Dengue Virus Transmission
    Xue, Ling
    Ren, Xue
    Magpantay, Felicia
    Sun, Wei
    Zhu, Huaiping
    BULLETIN OF MATHEMATICAL BIOLOGY, 2021, 83 (02)
  • [49] Dynamics of Dengue epidemics when using optimal control
    Rodrigues, Helena Sofia
    Monteiro, M. Teresa T.
    Torres, Delfim F. M.
    MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (9-10) : 1667 - 1673
  • [50] Modeling and optimal control of dengue disease with screening and information
    Akhil Kumar Srivastav
    Anuj Kumar
    Prashant K. Srivastava
    Mini Ghosh
    The European Physical Journal Plus, 136
12345