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The sterile insect technique consists in massive release of sterilized males in the aim to reduce the size of mosquitoes population or even eradicate it. In this work, we investigate the feasability of using the sterile insect technique as…

Analysis of PDEs · Mathematics 2020-05-26 Luis Almeida , Jorge Estrada , Nicolas Vauchelet

The implementation of the Sterile Insect Technique (SIT) to manage a target population has been the focus of numerous recent scientific studies. The present work focuses on a feedback law that depends linearly on the state variables of the…

Dynamical Systems · Mathematics 2025-03-18 Kala Agbo Bidi

Recently, the RIDL-SIT technology has been field-tested for control of Aedes aegypti. The technique consists of releasing genetically modified mosquitoes carrying a "lethal gene". In 2016 the World Health Organisation (WHO) and the…

Populations and Evolution · Quantitative Biology 2020-06-02 Mario A. Natiello , Hernán G. Solari

The sterile insect technique (SIT) is a technique to control pests and vectors of diseases by releasing mainly sterile males. Several challenges need to be solved before large-scale field application in order to guarantee its success. In…

Dynamical Systems · Mathematics 2023-10-23 Yves Dumont , Valaire Ivric Yatat-Djeumen

This paper is devoted to the study of optimal release strategies to control vector-borne diseases, such as dengue, Zika, chikungunya and malaria. Two techniques are considered: the sterile insect one (SIT), which consists in releasing…

Optimization and Control · Mathematics 2023-07-24 Luis Almeida , Jesús Bellver Arnau , Yannick Privat , Carlota Rebelo

Sterile insect technique has been successfully applied in the control of agricultural pests, however, it has a limited ability to control mosquitoes. A promising alternative approach is Trojan Y Chromosome strategy, which works by…

Populations and Evolution · Quantitative Biology 2022-05-31 Jingjing Lyu , Musong Gu , Sheng Wang

It is preliminarily known that Aedes mosquitoes are very close to humans and their dwellings, also give rises to a broad spectrum of diseases: dengue, yellow fever, chikungunya. In this paper, we explore a multi-age-class model for mosquito…

Optimization and Control · Mathematics 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

Biological control strategies against mosquito-borne diseases--such as the sterile insect technique (SIT), RIDL, and Wolbachia-based releases--require reliable estimates of dispersal and survival of released males. We propose a…

Populations and Evolution · Quantitative Biology 2025-10-13 Nga Nguyen , Olivier Bonnefon , René Gato , Luis Almeida , Lionel Roques

This paper proposes two realistic and biologically viable methods for Wolbachia-based biocontrol of Aedes aegypti mosquitoes, assuming imperfect maternal transmission of the Wolbachia bacterium, incomplete cytoplasmic incompatibility, and…

Arboviral diseases remain a major public health concern, particularly in tropical and subtropical regions where mosquito populations thrive. One promising strategy to curb transmission is the release of Aedes aegypti mosquitoes infected…

Populations and Evolution · Quantitative Biology 2025-03-18 Daniela Florez , Ricardo Cortez , James M. Hyman , Zhuolin Qu

Aedes aegypti is known as the responsible vector transmitting dengue flavivirus. Unavailability of medication to cure the transmission of the virus in the human blood becomes a global health issue in recent decades. World epidemiologists…

Populations and Evolution · Quantitative Biology 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

Mosquito-borne diseases remain a major public-health threat, and the effective control of mosquito populations requires sustained household participation in removing breeding sites. While environmental drivers of mosquito oscillations have…

Dynamical Systems · Mathematics 2026-01-09 Mohammad Rubayet Rahman , Chanaka Kottegoda , Lucas M. Stolerman

This study focuses on optimizing species release $S_2$ to control species population $S_1$ through impulsive release strategies. We investigate the conditions required to remove species $S_1$, which is equivalent to the establishment of…

Optimization and Control · Mathematics 2026-02-09 Jéssica C. S. Alves , Sergio M. Oliva , Christian E. Schaerer

This paper presents an age-structured, non-autonomous logistic model describing the aquatic and adult stages of the dynamics of malaria-vector mosquitoes. We propose a biological control strategy targeting the aquatic compartment and…

Analysis of PDEs · Mathematics 2025-11-18 Marius Bargo , Yacouba Simpore

\textit{Aedes albopictus} mosquitoes are competent vectors for the spread of at least 24 different arboviruses, including dengue, Ross River, and Japanese encephalitis viruses. However, they remain less studied than their more urban…

Populations and Evolution · Quantitative Biology 2025-04-04 Matthew Ryan , Manuela Mendiolar , Dan Pagendam , Roslyn Hickson , Brendan Trewin

We present a methodology for modelling population dynamics with formal means of computer science. This allows unambiguous description of systems and application of analysis tools such as simulators and model checkers. In particular, the…

Computational Engineering, Finance, and Science · Computer Science 2010-08-20 Thomas Anung Basuki , Antonio Cerone , Roberto Barbuti , Andrea Maggiolo-Schettini , Paolo Milazzo , Elisabetta Rossi

The deer tick, $\textit{Ixodes scapularis}$, is a vector for numerous human diseases, including Lyme disease, anaplasmosis, and babesiosis. Concern is rising in the US and abroad as the population and range of this species grow and new…

Populations and Evolution · Quantitative Biology 2021-12-21 Thomas G. Kirby , Julie C. Blackwood

We formulate an integrated pest management model to control natural pests of the crop through the periodic application of biopesticide and chemical pesticides. In a theoretical analysis of the system pest eradication, a periodic solution is…

Optimization and Control · Mathematics 2023-04-27 Fahad Al Basir , Jahangir Chowdhury , Delfim F. M. Torres

The release of Wolbachia-infected mosquitoes into Aedes aegypti infested areas is a promising strategy for localised eradication of dengue infection. Ae aegypti mosquitoes favour urban environments as breeding habitats, so are often found…

Populations and Evolution · Quantitative Biology 2025-08-01 Abby Barlow , Ben Adams

This work is devoted to the mathematical study of an optimization problem regarding control strategies of mosquito population in a heterogeneous environment. Mosquitoes are well-known vectors of diseases. For some diseases, such as dengue,…

Optimization and Control · Mathematics 2025-03-11 Luis Almeida , Jesús Bellver Arnau , Gwenaël Peltier , Nicolas Vauchelet