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Modelling Wolbachia infection in mosquitoes via impulsive equations
澳门新葡8455最新网站:2018年01月18日 10:06 点击数:

报告人:庾建设

报告地点:澳门新葡8455最新网站403室

报告澳门新葡8455最新网站:2018年01月19日星期五09:40-10:20

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报告摘要:

Mosquito-borne diseases are global health problems, which mainly affect low-income populations in tropics and subtropics. In order to prevent the transmission of mosquito-borne diseases, the intracellular symbiotic bacteria named as Wolbachia is becoming a promising candidate to interrupt the virus transmission. In this paper, an impulsive mosquito population model with general birth and death rate functions is established to study the cytoplasmic incompatibility (CI) effect caused by mating of Wolbachia-infected males and uninfected females. The dynamics of the spread of Wolbachia in mosquito population are studied, and the strategies of mosquito extinction or replacing Wolbachia-uninfected mosquitoes with Wolbachia-infected mosquitoes are analyzed. Moreover, the results are applied to models with specific birth and death rate functions. It is shown that strategies may be different due to different birth and death rate functions, the type of Wolbachia strains and the initial number of Wolbachia-infected mosquitoes. Furthermore, numerical simulations are conducted to illustrate our conclusions.

主讲人概况:

庾建设,广州大学数学与信息科学新葡京最新官网教授、博士生导师。主要从事常微分方程,泛函微分方程与离散系统的理论与应用研究。

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