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Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations in mosquito populations independent of seasonality, still…

Dynamical Systems · Mathematics 2018-01-12 Martin Strugarek , Laetitia Dufour , Nicolas Vauchelet , Luis Almeida , Benoît Perthame , Daniel Villela

A deterministic nonlinear ordinary differential equation model for mosquito dynamics in which the mosquitoes can quest for blood either within a human population or within non-human/vertebrate populations is derived and studied. The model…

Populations and Evolution · Quantitative Biology 2024-12-10 Gideon A. Ngwa , Bime M. Ghakanyuy , Miranda I. Teboh-Ewungkem , Jacek Banasiak

The sterile insect technique controls mosquito-borne diseases such as malaria, dengue, and yellow fever through either eradication or depressing the associated vector population. We formulate a three-dimensional delayed mosquito population…

Dynamical Systems · Mathematics 2025-09-23 Ruqaya Hussein , Sergey Kryzhevich , Khosro Tajbakhsh

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 study a mosquito-borne epidemic model where the vector population is distinct in aquatic and adult stages and a saturating effect of disease transmission is assumed to ocurr when the number of infectious (humans and mosquitoes) becomes…

Populations and Evolution · Quantitative Biology 2014-02-10 E. Avila-Vales , B. Buonomo , N. Chan-Chi

Social distancing as one of the main non-pharmaceutical interventions can help slow down the spread of diseases, like in the COVID-19 pandemic. Effective social distancing, unless enforced as drastic lockdowns and mandatory cordon…

Physics and Society · Physics 2020-11-30 Alina Glaubitz , Feng Fu

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

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

Populations and Evolution · Quantitative Biology 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

An ordinary differential model is proposed to understand the role of egg quiescence on the efficacy of releasing Wolbachia-infected mosquitoes to control arbovirus transmission. The model admits up to five equilibrium points and four…

Populations and Evolution · Quantitative Biology 2025-07-17 Luís E. S. Lopes , Cláudia P. Ferreira

Community involvement and the preventive behavior of households are considered to be at the heart of vector-control strategies. In this work, we consider a simple theoretical model that enables us to take into account human behaviors that…

Dynamical Systems · Mathematics 2016-11-17 Y. Dumont , J. Thuilliez

We study the discrete-time dynamical systems associated to a stage-structured wild and sterile mosquito population. We describe all fixed points of the evolution operator (which depends on five parameters) of mosquito population and show…

Dynamical Systems · Mathematics 2020-02-28 Z. S. Boxonov , U. A. Rozikov

Microbial populations in the natural environment are likely to experience growth conditions very different from those of a typical laboratory xperiment. In particular, removal rates of biomass and substrate are unlikely to be balanced under…

Populations and Evolution · Quantitative Biology 2015-05-18 Bhavin S. Khatri , Andrew Free , Rosalind J. Allen

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

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 risk of mosquito-borne disease outbreaks is tightly linked to the frequency at which mosquitoes feed on blood, also known as the biting rate. However, standard models of mosquito-borne disease transmission inherently assume that…

Populations and Evolution · Quantitative Biology 2025-10-14 Kyle J. -M. Dahlin , Michael A. Robert , Lauren M. Childs

Malaria control strategies aiming at reducing disease transmission intensity may impact both oocyst intensity and infection prevalence in the mosquito vector. Thus far, mathematical models failed to identify a clear relationship between…

Statistics Theory · Mathematics 2011-02-24 Robin Genuer , Isabelle Morlais , Wilson Toussile

Recently, an evolutionary game dynamics model taking into account the environmental feedback has been proposed to describe the co-evolution of strategic actions of a population of individuals and the state of the surrounding environment;…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Lulu Gong , Weijia Yao , Jian Gao , Ming Cao

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

In this paper, we study a discrete-time dynamical system generated by the evolution operator of a wild mosquito population with specific rates of birth and emergence from larvae to adults. The death rates of larvae and adults are assumed to…

Dynamical Systems · Mathematics 2022-11-04 Z. S. Boxonov

Mosquito-borne diseases cause several hundred thousand deaths every year. Deciphering mosquito host-seeking behavior is essential to prevent disease transmission through mosquito capture and surveillance. Despite recent substantial…

Biological Physics · Physics 2025-05-22 Christopher Zuo , Chenyi Fei , Alexander E. Cohen , Soohwan Kim , Ring T. Carde , Jörn Dunkel , David L. Hu
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