scholarly journals Multiobjective approach to optimal control for a dengue transmission model

10.19139/144 ◽  
2015 ◽  
Vol 3 (3) ◽  
Author(s):  
Roman Denysiuk ◽  
Helena Sofia Rodrigues ◽  
M. Teresa T. Monteiro ◽  
Lino Costa ◽  
Isabel Espírito Santo ◽  
...  
Keyword(s):  
Optimal Control ◽  
Transmission Model ◽  
Dengue Transmission ◽  
Multiobjective Approach

scholarly journals Multiobjective approach to optimal control for a dengue transmission model

2015 ◽  
Vol 3 (3) ◽  
Author(s):  
Roman Denysiuk ◽  
Helena Sofia Rodrigues ◽  
M. Teresa T. Monteiro ◽  
Lino Costa ◽  
Isabel Espírito Santo ◽  
...  
Keyword(s):  
Optimal Control ◽  
Transmission Model ◽  
Dengue Transmission ◽  
Multiobjective Approach

scholarly journals Local and Global Stability Analysis of Dengue Disease with Vaccination and Optimal Control

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1917
Author(s):  
Anusit Chamnan ◽  
Puntani Pongsumpun ◽  
I-Ming Tang ◽  
Napasool Wongvanich
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Numerical Solutions ◽  
Dengue Infection ◽  
Transmission Model ◽  
Dengue Vaccine ◽  
Dengue Disease ◽  
Global Stability Analysis ◽  
Aedes Mosquitoes ◽  
Dengue Transmission

Dengue fever is a disease that has spread all over the world, including Thailand. Dengue is caused by a virus and there are four distinct serotypes of the virus that cause dengue DENV-1, DENV-2, DENV-3, and DENV-4. The dengue viruses are transmitted by two species of the Aedes mosquitoes, the Aedes aegypti, and the Aedes albopictus. Currently, the dengue vaccine used in Thailand is chimeric yellow tetravalent dengue (CYD-TDV). This research presents optimal control which studies the vaccination only in individuals with a documented past dengue infection (seropositive), regardless of the serotypes of infection causing the initial infection by the disease. The analysis of dengue transmission model is used to establish the local asymptotically stabilities. The property of symmetry in the Lyapunov function an import role in achieving this global asymptotically stabilities. The optimal control systems are shown in numerical solutions and conclusions. The result shows that the control resulted in a significant reduction in the number of infected humans and infected vectors.

scholarly journals Sensitivity, uncertainty and identifiability analyses to define a dengue transmission model with real data of an endemic municipality of Colombia

PLoS ONE ◽  
2020 ◽  
Vol 15 (3) ◽  
pp. e0229668
Author(s):  
Diana Paola Lizarralde-Bejarano ◽  
Daniel Rojas-Díaz ◽  
Sair Arboleda-Sánchez ◽  
María Eugenia Puerta-Yepes
Keyword(s):  
Real Data ◽  
Transmission Model ◽  
Dengue Transmission

Stability, Bifurcation and Optimal Control Analysis of a Malaria Model in a Periodic Environment

2018 ◽  
Vol 19 (6) ◽  
pp. 627-642 ◽  
Author(s):  
Prabir Panja ◽  
Shyamal Kumar Mondal ◽  
Joydev Chattopadhyay
Keyword(s):  
Optimal Control ◽  
Disease Transmission ◽  
Existence Condition ◽  
Infected Mosquito ◽  
Transmission Model ◽  
Control Analysis ◽  
Periodic Environment ◽  
Vector Population ◽  
Autonomous Case ◽  
Disease Transmission Model

AbstractIn this paper, a malaria disease transmission model has been developed. Here, the disease transmission rates from mosquito to human as well as human to mosquito and death rate of infected mosquito have been constituted by two variabilities: one is periodicity with respect to time and another is based on some control parameters. Also, total vector population is divided into two subpopulations such as susceptible mosquito and infected mosquito as well as the total human population is divided into three subpopulations such as susceptible human, infected human and recovered human. The biologically feasible equilibria and their stability properties have been discussed. Again, the existence condition of the disease has been illustrated theoretically and numerically. Hopf-bifurcation analysis has been done numerically for autonomous case of our proposed model with respect to some important parameters. At last, a optimal control problem is formulated and solved using Pontryagin’s principle. In numerical simulations, different possible combination of controls have been illustrated including the comparisons of their effectiveness.

A SEIR-SEI Malaria Transmission Model with Optimal Control

2018 ◽  
Vol 28 (6) ◽  
pp. 1-17
Author(s):  
Mojeeb AL-Rahman EL-Nor Osman ◽  
Appiagyei Ebenezer ◽  
Isaac Kwasi Adu
Keyword(s):  
Optimal Control ◽  
Malaria Transmission ◽  
Transmission Model

Optimal Control Solution of a Tuberculosis Transmission Model with Recurrent Infection and Vaccination Using C# Programming

2014 ◽  
Vol 20 (1) ◽  
pp. 51-55
Author(s):  
J. Nainggolan ◽  
Sudradjat Supian ◽  
A. K. Supriatna ◽  
N. Anggriani ◽  
. Detiatrimargini
Keyword(s):  
Optimal Control ◽  
Recurrent Infection ◽  
Transmission Model ◽  
Control Solution ◽  
Tuberculosis Transmission ◽  
C Programming

scholarly journals Projections of increased and decreased dengue incidence under climate change

2016 ◽  
Vol 144 (14) ◽  
pp. 3091-3100 ◽  
Author(s):  
C. R. WILLIAMS ◽  
G. MINCHAM ◽  
H. FADDY ◽  
E. VIENNET ◽  
S. A. RITCHIE ◽  
...  
Keyword(s):  
Climate Change ◽  
Climate Warming ◽  
Carbon Emission ◽  
Climate Models ◽  
Virus Transmission ◽  
Transmission Model ◽  
Simple Relationship ◽  
Breeding Sites ◽  
Dengue Transmission ◽  
Dengue Epidemic

SUMMARYDengue is the world's most prevalent mosquito-borne disease, with more than 200 million people each year becoming infected. We used a mechanistic virus transmission model to determine whether climate warming would change dengue transmission in Australia. Using two climate models each with two carbon emission scenarios, we calculated future dengue epidemic potential for the period 2046–2064. Using the ECHAM5 model, decreased dengue transmission was predicted under the A2 carbon emission scenario, whereas some increases are likely under the B1 scenario. Dengue epidemic potential may decrease under climate warming due to mosquito breeding sites becoming drier and mosquito survivorship declining. These results contradict most previous studies that use correlative models to show increased dengue transmission under climate warming. Dengue epidemiology is determined by a complex interplay between climatic, human host, and pathogen factors. It is therefore naive to assume a simple relationship between climate and incidence, and incorrect to state that climate warming will uniformly increase dengue transmission, although in general the health impacts of climate change will be negative.

An SIR-Dengue transmission model with seasonal effects and impulsive control

2017 ◽  
Vol 289 ◽  
pp. 29-39 ◽  
Author(s):  
Joseph Páez Chávez ◽  
Thomas Götz ◽  
Stefan Siegmund ◽  
Karunia Putra Wijaya
Keyword(s):  
Impulsive Control ◽  
Seasonal Effects ◽  
Transmission Model ◽  
Dengue Transmission

scholarly journals Parameter estimation and fractional derivatives of dengue transmission model

2020 ◽  
Vol 5 (3) ◽  
pp. 2758-2779 ◽  
Author(s):  
Windarto ◽  
◽  
Muhammad Altaf Khan ◽  
Fatmawati ◽  
Keyword(s):  
Parameter Estimation ◽  
Fractional Derivatives ◽  
Transmission Model ◽  
Dengue Transmission ◽  
Derivatives Of
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