郭志明教授学术报告

发布时间:2018年12月07日 作者:陈海波   消息来源:    阅读次数:[]

报告题目:Wolbachia infection model with free boundary

人:郭志明,广州大学教授、博士生导师

报告时间:2018128日,下午1530

报告地点:数学楼一楼145报告厅

报告摘要:Scientists have been seeking ways for many years to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases?  To answer this question mathematically, we develop a reaction-diffusion model with free boundary in one-dimensional environment. We divide the female mosquito population into two groups: one is the uninfected mosquito population that grows in the whole region while the other is the mosquito population infected with Wolbachia that occupies a finite small region and invades the environment with a spreading front governed by a free boundary satisfying the well-known one-phase Stefan condition. For the resulting free boundary problem, we establish criteria for spreading and vanishing. Our results provide useful insights on designing feasible mosquito releasing strategy to invade the whole female mosquito population with Wolbachia infection and thus eventually eradicate the mosquito-borne diseases



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