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Aedes Aegypti is the vector of several deadly diseases, including Zika. Effective and sustainable vector control measures must be deployed to keep A. aegypti numbers under control. The distribution of A. Aegypti is subject to spatial and…

种群与进化 · 定量生物学 2016-08-05 Chathika Gunaratne , Mustafa Ilhan Akbas , Ivan Garibay , Ozlem Ozmen

We develop and analyze an ordinary differential equation model to assess the potential effectiveness of infecting mosquitoes with the Wolbachia bacteria to control the ongoing mosquito-borne epidemics, such as dengue fever, chikungunya, and…

种群与进化 · 定量生物学 2020-08-14 Zhuolin Qu , Ling Xue , James M. Hyman

Insect-borne diseases are diseases carried by insects affecting humans, animals or plants. They have the potential to generate massive outbreaks such as the Zika epidemic in 2015-2016 mostly distributed in the Americas, the Pacific and…

偏微分方程分析 · 数学 2020-02-19 Olivier Martin , Yasmil Fernandez-Diclo , Jerome Coville , Samuel Soubeyrand

Epidemic models play a crucial role in population dynamics, offering valuable insights into disease transmission while aiding in epidemic prediction and control. In this paper, we analyze the mathematical model of the time-fractional Zika…

动力系统 · 数学 2026-02-24 Gaurav Saini , Bappa Ghosh , Sunita Chand

Mosquito vector competence is usually represented as a process in which once virus is detected in saliva, mosquitoes are assumed to remain infectious for life, implying an irreversible transition to the transmitting state. However, some…

种群与进化 · 定量生物学 2026-04-30 Léa Loisel , Tristan Monrocq , Vincent Raquin , Pauline Ezanno , Gaël Beaunée

The ongoing Zika virus (ZIKV) epidemic poses a major global public health emergency. It is known that ZIKV is spread by \textit{Aedes} mosquitoes, recent studies show that ZIKV can also be transmitted via sexual contact and cases of…

种群与进化 · 定量生物学 2016-07-08 Daozhou Gao , Yijun Lou , Daihai He , Travis C. Porco , Yang Kuang , Gerardo Chowell , Shigui Ruan

Recently, Li and Zhao [5] (Bull. Math. Biol., 83(5), 43, 25 pp (2021)) proposed and studied a periodic reaction-diffusion model of Zika virus with seasonality and spatial heterogeneous structure in host and vector populations. They found…

偏微分方程分析 · 数学 2025-12-15 Mingxin Wang , Qianying Zhang

Wolbachia is possibly the most studied reproductive parasite of arthropod species. It appears to be a promising candidate for biocontrol of some mosquito borne diseases. We begin by developing a sex-structured model for a Wolbachia infected…

种群与进化 · 定量生物学 2019-03-06 József Z. Farkas , Stephen A. Gourley , Rongsong Liu , Abdul-Aziz Yakubu

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…

种群与进化 · 定量生物学 2025-07-17 Luís E. S. Lopes , Cláudia P. Ferreira

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…

偏微分方程分析 · 数学 2017-07-31 Martin Strugarek , Nicolas Vauchelet , Jorge Zubelli

Wolbachia is a genus of endosymbiotic bacteria that can infect mosquitoes and reduce their ability to transmit dengue virus. Although the bacterium is transmitted vertically from infected mothers to their offspring, it can be difficult to…

种群与进化 · 定量生物学 2015-10-06 Ling Xue , Carrie A. Manore , Panpim Thongsripong , James M. Hyman

A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The…

经典分析与常微分方程 · 数学 2013-11-14 Bruno Buonomo

Vector/Pest control is essential to reduce the risk of vector-borne diseases or losses in crop fields. Among biological control tools, the sterile insect technique (SIT), is the most promising one. SIT control generally consists of massive…

动力系统 · 数学 2020-12-30 R. Anguelov , Y. Dumont , V. Yatat

Wolbachia is a naturally occurring bacterium that can infect Aedes mosquitoes and reduce the transmission of mosquito-borne diseases, including dengue fever, Zika, and chikungunya. Field trials have been conducted worldwide to suppress…

种群与进化 · 定量生物学 2024-12-02 Zhuolin Qu , Tong Wu

Vector-transmitted diseases such as dengue fever and chikungunya have been spreading rapidly in many parts of the world. The Zika virus has been known since 1947 and invaded South America in 2013. It can be transmitted not only by…

种群与进化 · 定量生物学 2016-08-23 Fred Brauer , Carlos Castillo-Chavez , Anuj Mubayi , Sherry Towers

A four dimensional ecoepidemiological model consisting of susceptible prey, infected prey, vaccinated prey and predator is formulated and analyzed in the present work. The functional response is assumed to be of Lotka-Volterra type. We…

动力系统 · 数学 2017-10-02 Sachin Kumar , Harsha Kharbanda

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…

种群与进化 · 定量生物学 2024-08-06 Léa Loisel , Vincent Raquin , Maxime Ratinier , Pauline Ezanno , Gaël Beaunée

Vector control is critical to limit the circulation of vector-borne diseases like chikungunya, dengue or zika which have become important issues around the world. Among them the Sterile Insect Technique (SIT) and the Incompatible Insect…

动力系统 · 数学 2018-05-28 Martin Strugarek , Herve Bossin , Yves Dumont

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…

最优化与控制 · 数学 2023-07-24 Luis Almeida , Jesús Bellver Arnau , Yannick Privat , Carlota Rebelo

We introduce a stochastic household model for vector-borne diseases, in particular as relevant to prominent vectors belonging to the Aedes genus and hence the Zika, chikungunya, and dengue viruses. In this model, vectors remain local to…

种群与进化 · 定量生物学 2022-03-01 Andrew Black , Andrew Smith , Alun Lloyd , Joshua Ross
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