Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide

Thomé, Roberto Carlos Antunes; Yang, Hyun Mo; Esteva, Luis

doi:10.1016/j.mbs.2009.08.009

Cited by 128 publications

(137 citation statements)

References 22 publications

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“…albopictus (84) . Alternative tools for controlling mosquito-borne diseases, like the utilization of Wolbachia bacteria (86) and of sterile males associated to insecticides (87) must be investigated further, but the careful reduction of potential breeding places is probably the most important method for their control.…”

Section: Vectorial Role Of Aedes (Stegomyia) Mosquitoesmentioning

confidence: 99%

Zika virus in Brazil and the danger of infestation by Aedes (Stegomyia) mosquitoes

Marcondes

Ximenes

2015

Rev. Soc. Bras. Med. Trop.

213

157

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Zika virus, already widely distributed in Africa and Asia, was recently reported in two Northeastern Brazilian: State of Bahia and State of Rio Grande do Norte, and one Southeastern: State of São Paulo. This fi nding adds a potentially noxious virus to a list of several other viruses that are widely transmitted by Aedes (Stegomyia) aegypti and Aedes (Stegomyia) albopictus in Brazil. The pathology and epidemiology, including the distribution and vectors associated with Zika virus, are reviewed. This review is focused on viruses transmitted by Aedes (Stegomyia) mosquitoes, including dengue, Chikungunya, Zika, Mayaro, and yellow fever virus, to emphasize the risks of occurrence for these arboviruses in Brazil and neighboring countries. Other species of Aedes (Stegomyia) are discussed, emphasizing their involvement in arbovirus transmission and the possibility of adaptation to environments modifi ed by human activities and introduction in Brazil.

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Section: Vectorial Role Of Aedes (Stegomyia) Mosquitoesmentioning

confidence: 99%

Zika virus in Brazil and the danger of infestation by Aedes (Stegomyia) mosquitoes

Marcondes

Ximenes

2015

Rev. Soc. Bras. Med. Trop.

213

157

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“…The optimal control model construction is motivated by Caetano et al 15 , which was currently focused on using the continuous-time control. We highlight the other motivational paper on mosquito reduction, where the author gives a prime importance to the use of the sterile insect technique 16 . Due to an appearance of need of precise daily treatment, construction of an optimal control model regulated by a unified dailyvalued control is needed.…”

Section: Introductionmentioning

confidence: 99%

Temephos spraying and thermal fogging efficacy on Aedes aegypti in homogeneous urban residences

Wijaya

Goetz²,

Soewono³

et al. 2013

ScienceAsia

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An optimal control model of Aedes aegypti population dynamics concerning classification of indoor-outdoor life cycles is taken into account in this paper. A dengue epidemics measure, the basic mosquito offspring, is obtained from the well-known next-generation matrix. The number is used to analyse the stability of the mosquito-free equilibrium. This mosquito-free equilibrium describes a steady-state condition in the mosquito population dynamics where there are no mosquitoes. Comprehensive analysis on the existence and stability of the positive non-trivial equilibrium state is shown as well. Further work deals with designation of the control measures and numerical implementation of the optimal control model using various scenarios. We highlight those measures expressed as the semi-discrete mass profile of the Temephos spraying and the thermal fogging.

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“…Since the first field releases, various modelling and/or mathematical works have been done on SIT using either discrete models [12,29], or continuous temporal models with continuous release (see for instance [5,6,19,20,28,29,38] and references therein), with pulsed releases [17,42], or spatio-temporal models with one dimensional spatial component and continuous (proportional) releases [20,34,39]. See also [7] for an overview on SIT mathematical modelling.…”

Section: Introductionmentioning

confidence: 99%

“…Though having the same compartmental structure as the SIT study in [19] regarding the control of aedes aegypti, also investigated in [38], the differential equations in our model are constructed differently. Furthermore, the equation for the sterile males is much simpler (for other models, see for instance [29]).…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Sterile Insect Technology for Control of Anopheles Mosquito

Anguelov

Dumont

Lubuma

2011

AIP Conference Proceedings

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The Sterile Insect Technology (SIT) is a nonpolluting method of control of the invading insects that transmit the disease. The method relies on the release of sterile or treated males in order to reduce the wild population of anopheles mosquito. We propose two mathematical models. The first model governs the dynamics of anopheles mosquito. The second model, the SIT model, deals with the interaction between treated males and wild female anopheles. Using the theory of monotone operators, we obtain dynamical properties of global nature that can be summarized as follows. Both models are dissipative dynamical systems on the positive cone R 4 + . The value R = 1 of the basic offspring number R is a forward bifurcation for the model of the anopheles mosquito, with the trivial equilibrium 0 being globally asymptotically stable (GAS) when R ≤ 1, whereas 0 becomes unstable and one stable equilibrium is born with well determined basins of attraction when R > 1. For the SIT model, we obtain a threshold numberλ of treated male mosquitos above which the control of wild female mosquitos is effective. That is, for λ >λ the equilibrium 0 is GAS. When 0 < λ ≤λ, the number of equilibria and their stability are described together with their precise basins of attraction. These theoretical results are rephrased in terms of possible strategies for the control of the anopheles mosquito and they are illustrated by numerical simulations.

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Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide

Cited by 128 publications

References 22 publications

Zika virus in Brazil and the danger of infestation by Aedes (Stegomyia) mosquitoes

Zika virus in Brazil and the danger of infestation by Aedes (Stegomyia) mosquitoes

Temephos spraying and thermal fogging efficacy on Aedes aegypti in homogeneous urban residences

Mathematical Modeling of Sterile Insect Technology for Control of Anopheles Mosquito

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