Optimal Strategies for Dengue Prevention and Control during Daily Commuting between Two Residential Areas

Lasluisa, Daniel; Barrios, Edwin; Vasilieva, Olga

doi:10.3390/pr7040197

Cited by 9 publications

(17 citation statements)

References 21 publications

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“…31,32 Finally, the average vectorial density depends on the total size of the vector population (assuming that the total number of human residents remain invariable), and its value is affected not only by the climatic changes, [28][29][30] but also by the efficiency of routinary control actions, such as periodical treatment of mosquito breeding sites with larvicides, and by inflow and outflow of daily commuters. 31,33 Furthermore, it is worthwhile to note that the values of parameters ( , , , , , ) given in Table 2 bear little difference with other estimations obtained from the incidence datasets collected in Cali, Colombia during different years. 28,31,34,35 Figure 4 displays the daily incidence (new dengue cases registered on a daily basis) reported to the MSPH (Cali, Colombia) during the whole year 2010, and our observation period corresponds to the epidemics peak.…”

Section: Parameter Values and Initial Datamentioning

confidence: 74%

Optimal control of dengue epidemic outbreaks under limited resources

Sepúlveda-Salcedo

Vasilieva

2020

Stud Appl Math

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In this paper, we reflect upon control intervention practices habitually exerted by healthcare authorities in tropical areas that suffer from incidental outbreaks of dengue fever, in particular, the city of Cali, Colombia. Such control interventions, principally based on the insecticide spraying, are carried out sporadically in order to overcome an ongoing epidemic or at least to reduce its size. It is worth pointing out that control actions of this type do not usually account for sufficient budget because epidemic outbreaks are difficult to predict. In practical terms, these occasional control interventions are performed by spraying, as quickly as possible, all existing stock of insecticide (regardless of its lethality) and employing all available manpower. The goal of this paper is to design better strategies for insecticidebased control actions, which are capable of preventing more human infections at no additional cost, and to reveal the obsolescence of current vector eradication practices. Our approach relies on dynamic optimization, where the number of averted human infections is maximized under budget constraint and subject to a simple dengue transmission model amended with one control variable that stands for the insecticide spraying. As a result, we obtain structurally robust control intervention policies that demonstrate better performance and higher resilience to possible budget limitations than traditional modus operandi. K E Y W O R D Sdengue outbreaks, insecticide-based vector control, isoperimetric constraint, optimal control, optimization, Ross-Macdonald model Stud Appl Math. 2020;144:185-212.wileyonlinelibrary.com/journal/sapm

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Section: Parameter Values and Initial Datamentioning

confidence: 74%

Optimal control of dengue epidemic outbreaks under limited resources

Sepúlveda-Salcedo

Vasilieva

2020

Stud Appl Math

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“…The weight factors in the objective function are

1

and

0.1

. The upper bound of

and

are assumed equal to

0.7

and

0.8

, respectively, as stated in [33] , [36] . For the simulations, we adopt the estimated parameter values that are given in Table 2 .…”

Section: Numerical Results Of the Control Problemmentioning

confidence: 99%

“…7 (f), we can see that the prevention is kept at full effort for 100 days and then drastically reduces at the end of the intervention. The previous studies showed that optimal preventive efforts should be implemented with the maximum level [33] , [36] , [41] . Results of our study show similar effort of the prevention on dengue control in East Java, Indonesia.…”

Section: Numerical Results Of the Control Problemmentioning

confidence: 99%

“…We incorporate two intervention strategies, namely, prevention (

) and insecticide (

) efforts as control variables in the model. The use of the control for dengue infection as a prevention only has been considered in the work [33] , [41] . The control

insecticide spraying only has been considered in dengue control model given in [42] .…”

Section: Optimal Control Problemmentioning

confidence: 99%

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Dengue infection modeling and its optimal control analysis in East Java, Indonesia

Khan

Fatmawati

2021

Heliyon

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In this study, we present a mathematical model of dengue fever transmission with hospitalization to describe the dynamics of the infection. We estimated the basic reproduction number for the infected cases in East Java Province for the year 2018 is  0 ≈ 1.1138. The parameters of the dengue model are estimated by using the confirmed notified cases of East Java province, Indonesia for the year 2018. We formulated the model for dengue with hospitalization and present its dynamics in details. Initially, we present the basic mathematical results and then show briefly the stability results for the model. Further, we formulate an optimal control problem with control functions and obtain the optimal control characterization. The optimal control problem is solved numerically and the results comprised of controls system for different strategies. The controls such as prevention and insecticide could use the best role in the disease eradication from the community. Our results suggest that the prevention of humans from the mosquitoes and the insecticide spray on mosquitoes can significantly reduce the infection of dengue fever and may reduce further spread of infection in the community.

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“…assumed constant values). Different authors have considered the incorporation of commuting and network effects [ 24 , 25 , 26 ] but the analysis a full combination of commuting, environmental conditions, and extended compartment models of dengue diseases needs further study.…”

Section: Introductionmentioning

confidence: 99%

Multi-cluster and environmental dependant vector born disease models

Vyhmeister

Provan

Doyle³

et al. 2020

Heliyon

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Vector-born disease models are extensively used for surveillance and control processes. The most simple and generally use model (SEIR-SEI model) cannot explain a variety of phenomena involved in these diseases spread and development. In order to obtain a wider insight of the vector-born disease models (and the dynamics involved in them), this work focuses into analyse the classical model, a modified versions of it, and 8 their parameters. The modified version includes host mobility, 9 environmental, re-susceptibility, and mosquito life cycle considerations. As results it is observed that there are a limiting number of parameters that play the most important roles in the dynamics (those related to mortality rates, recovery rate from infectious, and pathogen transmission probabilities). Therefore, parameters determination should focus primarily into estimate these values. Stronger effects of the environmental variables are observed and expected by using different parameters and/or the use of multiple environmental variable at the same time.

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Optimal Strategies for Dengue Prevention and Control during Daily Commuting between Two Residential Areas

Cited by 9 publications

References 21 publications

Optimal control of dengue epidemic outbreaks under limited resources

Optimal control of dengue epidemic outbreaks under limited resources

Dengue infection modeling and its optimal control analysis in East Java, Indonesia

Multi-cluster and environmental dependant vector born disease models

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