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Dengue, which affects millions of people each year, is one of the most common diseases transmitted by infected \textit{Aedes aegypti} mosquitoes. In the Philippines, the annual economic cost of dengue infections is estimated at around PHP…

Optimization and Control · Mathematics 2026-01-19 Kyrho Corum , Renier Mendoza , Victoria May P. Mendoza , Arrianne Crystal Velasco

It is estimated that around 80\% of the world's population live in areas susceptible to at-least one major vector borne disease, and approximately 20% of global communicable diseases are spread by mosquitoes. Furthermore, the outbreaks of…

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

Mosquitoes are a major vector for malaria, causing hundreds of thousands of deaths in the developing world each year. Not only is the prevention of mosquito bites of paramount importance to the reduction of malaria transmission cases, but…

Machine Learning · Statistics 2017-12-07 Yunpeng Li , Davide Zilli , Henry Chan , Ivan Kiskin , Marianne Sinka , Stephen Roberts , Kathy Willis

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

In areas infested with Aedes aegypti mosquitoes it may be possible to control dengue, and some other vector-borne diseases, by introducing Wolbachia-infected mosquitoes into the wildtype population. Thus far, empirical and theoretical…

Populations and Evolution · Quantitative Biology 2025-02-19 Abby Barlow , Sarah Penington , Ben Adams

We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current disease prevalence. Assuming that mosquitoes can also feed on…

Populations and Evolution · Quantitative Biology 2026-05-08 Simone De Reggi , Andrea Pugliese , Mattia Sensi , Cinzia Soresina

We consider a minimalist model for the Sterile Insect Technique (SIT), assuming that residual fertility can occur in the sterile male population.Taking into account that we are able to get regular measurements from the biological system…

Populations and Evolution · Quantitative Biology 2020-05-13 Maria Soledad Aronna , Yves Dumont

Wolbachia, a maternally transmitted endosymbiont, offers a powerful biological control strategy for mosquito-borne diseases such as dengue, Zika, and malaria. We develop an integro-difference equation (IDE) model that integrates Wolbachia's…

Populations and Evolution · Quantitative Biology 2026-01-27 Zhuolin Qu , Tong Wu , Eddy Kwessi

Sterile Insect Technique (SIT) is widely regarded as a promising, environmentally friendly and chemical-free strategy for the prevention and control of dengue and other vector-borne diseases. In this paper, we develop and analyze a…

Numerical Analysis · Mathematics 2026-03-26 Oscar Eduardo Escobar-Lasso , Stefan Frei , Reinhard Racke , Olga Vasilieva

Wolbachia is a natural bacterium that can infect mosquitoes and reduce their ability to transmit mosquito-borne diseases, such as dengue fever, Zika, and chikungunya. Field trials and modeling studies have shown that the fraction of…

Populations and Evolution · Quantitative Biology 2021-08-25 Zhuolin Qu , Tong Wu , James Mac Hyman

The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the nuisance or the epidemiological risk. In this work, we…

Optimization and Control · Mathematics 2023-11-06 Yves Dumont , Michel Duprez

Wolbachia infection in Anopheles albimanus mosquitoes can render mosquitoes less capable of spreading malaria. We develop and analyze an ordinary differential equation model to evaluate the effectiveness of Wolbachia-based vector control…

Populations and Evolution · Quantitative Biology 2023-03-10 Daniela Florez , Alyssa Young , Kerlly J. Bernabe , James M. Hyman , Zhuolin Qu

Artificial releases of Wolbachia-infected Aedes mosquitoes have been under study in the past years for fighting vector-borne diseases such as dengue, chikungunya and zika. Several strains of this bacterium cause cytoplasmic incompatibility…

Analysis of PDEs · Mathematics 2017-07-31 Martin Strugarek , Nicolas Vauchelet , Jorge Zubelli

In this paper, we present a novel approach to the development and deployment of an autonomous mosquito breeding place detector rover with the object and obstacle detection capabilities to control mosquitoes. Mosquito-borne diseases continue…

Arboviruses represent a significant threat to human, animal, and plant health worldwide. To elucidate transmission, anticipate their spread and efficiently control them, mechanistic modelling has proven its usefulness. However, most models…

Populations and Evolution · Quantitative Biology 2024-08-06 Léa Loisel , Vincent Raquin , Maxime Ratinier , Pauline Ezanno , Gaël Beaunée

Malaria is a serious global health problem which is especially devastating to the developing world. Mosquitoes are the carriers of the parasite responsible for the disease, and hence malaria control programs focus on controlling mosquito…

Dynamical Systems · Mathematics 2016-06-17 Bhushan Kotnis , Joy Kuri

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

Dengue transmission is shaped by the population dynamics of the Aedes aegypti mosquito, making vector control a central strategy for disease mitigation. The impact of interventions such as larvicide, adulticide, and breeding-site reduction…

Dynamical Systems · Mathematics 2026-05-13 Aram Vajdi , Lee W. Cohnstaedt , Caterina M. Scoglio , Heman Shakeri

In this work we present a mathematical model that integrates the epidemiological dynamics of a vector-borne disease (SIR-SI) with Lotka Volterra predator prey ecological interactions. The study analyzes how the presence of natural predators…

Optimization and Control · Mathematics 2026-02-09 Rocio Balderrama , Ignacio Ceresa Dussel , Constanza Sanchez de la Vega