2006
DOI: 10.5540/tema.2006.07.02.0259
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Control of Dengue Vector by the Sterile Insect Technique Considering Logistic Recruitment

Abstract: Abstract. We propose a mathematical model to assess the effects of irradiated male insects introduction in a previously infested region, taking into account the logistic recruitment of sterile male insects. The release of sterile male insects aims to displace gradually the natural (or wild) insect from the habitat. We discuss the suitability of this release technique when applied to peridomestic adapted Aedes aegypti mosquitoes which are transmitters of Yellow Fever and Dengue disease.

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Cited by 10 publications
(11 citation statements)
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“…The dynamic of Aedes aegypti mosquitoes divides its cycle life into three phases: aquatic, winged, and adult ones. The mathematical model used in this work is proposed in Esteva and Young . In this model, six compartments are considered: • A ( t ) is the population of the mosquitoes in the aquatic phase at time t ; • I ( t ) is the population of females before mating at time t ; • F ( t ) is the population of mating fertilized females at time t ; • U ( t ) is the population of mating unfertilized females at time t ; • M ( t ) is the population of natural male insects at time t ; and • S ( t ) is the population of sterile male mosquitoes at time t . …”
Section: Problem Statementmentioning
confidence: 99%
“…The dynamic of Aedes aegypti mosquitoes divides its cycle life into three phases: aquatic, winged, and adult ones. The mathematical model used in this work is proposed in Esteva and Young . In this model, six compartments are considered: • A ( t ) is the population of the mosquitoes in the aquatic phase at time t ; • I ( t ) is the population of females before mating at time t ; • F ( t ) is the population of mating fertilized females at time t ; • U ( t ) is the population of mating unfertilized females at time t ; • M ( t ) is the population of natural male insects at time t ; and • S ( t ) is the population of sterile male mosquitoes at time t . …”
Section: Problem Statementmentioning
confidence: 99%
“…O modelo matemático, baseado em [1], que descreve a dinâmica da população do Aedes aegypti com a presença de controle na fase aquática (u) é dado por:…”
Section: Modelo Matemáticounclassified
“…(6,7) Prinsip dasar TSM sangat sederhana, yaitu membunuh serangga dengan serangga itu sendiri (auto cidal technique). (8,9) Keberhasilan penggunaan TSM dalam pengendalian nyamuk pernah dilaporkan pada pengendalian nyamuk Culex quinquefasiatus di Myanmar, nyamuk Anophe les gambie di Brazil, Aedes aegypti di Amerika dan Kuba. Di Amerika dan Kuba pada tahun 1980an dapat menurunkan populasi Aedes ae gypti.…”
Section: Pendahuluanunclassified
“…Hal ini disebabkan karena pelepasan nyamuk jantan mandul dilakukan di daerah yang tidak terisolir sehingga memungkinkan nyamuk dapat berpindah dari satu rumah ke rumah yang lain. (8,9,10) Perpindahan tersebut dapat menyebabkan rumah yang pada awalnya terdapat nyamuk menjadi tidak terdapat nyamuk dan sebaliknya. Kecepatan angin mempunyai pengaruh terhadap pertumbuhan populasi Aedes aegypti.…”
Section: Pembahasanunclassified