Optimization of a rainfall dependent model for the seasonal Aedes aegypti integrated control: A case of Lavras/Brazil

Vasconcelos, Amália Soares Vieira de; Silva, Lillia S.B.; Cardoso, Rodrigo T. N.; Acebal, José Luiz

doi:10.1016/j.apm.2020.08.072

Cited by 6 publications

(4 citation statements)

References 22 publications

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“…The additional death of immature and adult mosquitoes u A and u F are obtained via optimization, as well as the control duration times t A and t F . The relative costs are considered as C 1 = 10, C 2 = 100 [4], and C 3 = 0.01 [30,36]. The optimization procedure used the Real-Biased Genetic Algorithm and Non-dominated Sorting Genetic Algorithm II, considering the parameters in Tables 2 and 3, respectively.…”

Section: Resultsmentioning

confidence: 99%

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A Multiobjective Optimization Application to Control the Aedes Aegypti Mosquito using a Two-Dimensional Diffusion-Reaction Model

Lima,

Vasconcelos,

Cardoso

2023

Trends Comput. Appl. Math.

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Aedes aegypti is the main vector of multiple diseases, such as dengue, yellow fever, Zika, and chikungunya. Diseases associated with mosquitoes have been growing in recent years, with more than one-third of the world population at risk. Control techniques have been studied to prevent the spread of the Aedes aegypti, such that new formula and how to use adulticides and larvicides, among others. This paper proposes a novel approach in the field of partial differential equations and optimization. We consider a two-dimensional diffusion-reaction model that describes the interaction between aquatic and adult female stages spreading across a domain with parameters dependent on rainfall and temperature. We also formulate a mono-objective and multiobjective optimization problem to minimize the Aedes aegypti populations and the control, considering the application of adulticides and larvicides, using actual data from the city of Lavras/Brazil. The operator splitting technique is used to solve the diffusion-reaction system, coupling finite difference and the fourth-order Runge-Kutta method and optimal solutions were searched by using the Real-Biased Genetic Algorithm and Non-dominated Sorting Genetic Algorithm -II. Numerical results show significant reduction of the Aedes aegypti population.

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Section: Resultsmentioning

confidence: 99%

“…, in which t 0 is the first day of control, chosen by the optimization algorithm, and τ is the number of days of the control application. In parallel, the way to apply the adulticides, u F , at time t F follows the step size control, in which there is no residual effect [36].…”

Section: Mono-objective Optimizationmentioning

confidence: 99%

A Multiobjective Optimization Application to Control the Aedes Aegypti Mosquito using a Two-Dimensional Diffusion-Reaction Model

Lima,

Vasconcelos,

Cardoso

2023

Trends Comput. Appl. Math.

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“…Thus, genetic algorithms are implemented to solve problems through a numerical approximation. Among the related works, we can mention 2 – 8 .…”

Section: Introductionmentioning

confidence: 99%

Multiobjective optimization to assess dengue control costs using a climate-dependent epidemiological model

Vasconcelos

Lima

Cardoso

2023

Sci Rep

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Arboviruses, diseases transmitted by arthropods, have become a significant challenge for public health managers. The World Health Organization highlights dengue as responsible for millions of infections worldwide annually. As there is no specific treatment for the disease and no free-of-charge vaccine for mass use in Brazil, the best option is the measures to combat the vector, the Aedes aegypti mosquito. Therefore, we proposed an epidemiological model dependent on temperature, precipitation, and humidity, considering symptomatic and asymptomatic dengue infections. Through computer simulations, we aimed to minimize the amount of insecticides and the social cost demanded to treat patients. We proposed a case study in which our model is fitted with real data from symptomatic dengue-infected humans in an epidemic year in a Brazilian city. Our multiobjective optimization model considers an additional control using larvicide, adulticide, and ultra-low volume spraying. The work’s main contribution is studying the monetary cost of the actions to combat the vector demand versus the hospital cost per confirmed infected, comparing approaches with and without additional control. Results showed that the additional vector control measures are cheaper than the hospital treatment without the vector control would be.

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“…Solution through soft computing is much effective and interesting. Few of them include the corneal model for eye surgery solved by fractional-order DPSO algorithm [20], model for the oscillatory behavior of the heart solved by the neuroevolutionary approach [21], temperature profiles in longitudinal fin designs by the neuroevolutionary approach [22], hybrid metaheuristic based on neurocomputing [23], dust density model solved through finite difference-based numerical computing [24], flow with stream-wise pressure gradient [25], influenza disease modelling through soft computing [26], nonlinear SITR model for novel COVID-19 dynamics [27], SIR nonlinear model based on dengue fever [28], magnetic dipole, higher-order chemical process for steady micropolar fluid, NAR-RBFs neural network for a nonlinear dusty plasma system [29], tumour virotherapy model with standard incident rate [11], NIS reporter gene for optimizing oncolytic virotherapy [30], PV-wind-fuel cell system [31], coronavirus disease (COVID-19) containing asymptomatic and symptomatic classes [32], discovery in the diagnosis of coronary artery disease [33], fractional-order modified SEIR model [34], and rainfall-dependent model for the seasonal Aedes [35]. In a similar way, we present an artificial neural network-based hybridization of Sine-Cosine Algorithm (SCA) and the Sequential Quadratic Programming (SQP) technique for solving cancer virotherapy.…”

Section: Introductionmentioning

confidence: 99%

Modelling and Analysis of Virotherapy of Cancer Using an Efficient Hybrid Soft Computing Procedure

Khan

Bonyah²,

Alshammari

et al. 2022

Complexity

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Optimization of a rainfall dependent model for the seasonal Aedes aegypti integrated control: A case of Lavras/Brazil

Cited by 6 publications

References 22 publications

A Multiobjective Optimization Application to Control the Aedes Aegypti Mosquito using a Two-Dimensional Diffusion-Reaction Model

A Multiobjective Optimization Application to Control the Aedes Aegypti Mosquito using a Two-Dimensional Diffusion-Reaction Model

Multiobjective optimization to assess dengue control costs using a climate-dependent epidemiological model

Modelling and Analysis of Virotherapy of Cancer Using an Efficient Hybrid Soft Computing Procedure

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