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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

Dengue virus transmission models commonly assume an exponential distribution for the mosquito extrinsic incubation period (EIP), potentially oversimplifying biological variability. We developed a stochastic mechanistic dengue transmission…

Populations and Evolution · Quantitative Biology 2026-04-29 Léa Loisel , Sandie Arnoux , Gaël Beaunée , Pauline Ezanno

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

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 release of Wolbachia-infected mosquitoes is a promising strategy for controlling Aedes aegypti populations, but exposure to high temperatures can induce temporary infection loss and compromise long-term persistence. In this work, we…

Populations and Evolution · Quantitative Biology 2026-02-10 Jéssica C. S. Alves , Christian E. Schaerer , Cláudia P. Ferreira

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

In this article, we consider a simplified model of time dynamics for a mosquito population subject to the artificial introduction of {\itshape Wolbachia}-infected mosquitoes, in order to fight arboviruses transmission.Indeed, it has been…

Analysis of PDEs · Mathematics 2019-09-09 Luís Almeida , Yannick Privat , Martin Strugarek , Nicolas Vauchelet

The sterile insect technique has emerged recently as a biologically secure and effective tool for suppressing wild mosquito pests. To improve the performance of this strategy, understanding the interaction between wild and sterile…

Dynamical Systems · Mathematics 2025-09-09 Rodrigo Fernández-Martínez , Alfonso Ruiz-Herrera

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

The sterile insect technique (SIT) is a biological control method aimed at reducing or eliminating populations of pests or disease vectors. This technique involves releasing sterilised insects which, by mating with wild individuals, will…

Dynamical Systems · Mathematics 2025-12-09 Pierre-Alexandre Bliman , Manon de la Tousche , Yves Dumont

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

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

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

The Sterile Insect Technique (SIT) against insect pests and insect vectors consists of releasing males that have been previously sterilized in order to reduce or eliminate a specific wild population. We study this complex control question…

Optimization and Control · Mathematics 2026-05-26 Cédric Join , Luis Almeida , Michel Fliess

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…

We analyze an epidemiological model to evaluate the effectiveness of multiple means of control in malaria-endemic areas. The mathematical model consists of a system of several ordinary differential equations, and is based on a…

Populations and Evolution · Quantitative Biology 2023-06-28 Jean Claude Kamgang , Christopher Thron

This paper studies the spread dynamics of a stochastic SIRS epidemic model with nonlinear incidence and varying population size, which is formulated as a piecewise deterministic Markov process. A threshold dynamic determined by the basic…

Dynamical Systems · Mathematics 2017-10-26 Dan Li , Shengqiang Liu , Jing'an Cui

In this paper, we develop a multi-group epidemic framework via virtual dispersal where the risk of infection is a function of the residence time and local environmental risk. This novel approach eliminates the need to define and measure…

Populations and Evolution · Quantitative Biology 2015-04-01 Derdei Bichara , Yun Kang , Carlos Castillo-Chavez , Richard Horan , Charles Perrings

In the fight against vector-borne arboviruses, an important strategy of control of epidemic consists in controlling the population of vector, \textit{Aedes} mosquitoes in this case. Among possible actions, two techniques consist in…

Analysis of PDEs · Mathematics 2019-01-18 Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet

A deterministic multi-stage malaria model with a non-therapeutic control measure, the use of mosquito bednet is formulated and analyzed. The model basic reproduction number is derived, and analytical results show that the models equilibria…

Populations and Evolution · Quantitative Biology 2020-07-21 S. Y. Tchoumi , Y. T. Kouakep , D. J. Fotsa Mbogne , J. C. Kamgang , J. M. Tchuenche