Effect of impulsive controls in a model system for age-structured populationover a patchy environment

讲座时间 Datetime: 

星期五, 2018/10/05 - 从 15:00 到 17:00

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

邹幸福 教授

单位 Affiliation: 

加拿大西安大略大学

报告摘要 Abstract: 

In this talk, I will present a very general model of impulsive delay differential equations  in $n-patches$  that  describe the impulsive control of  population of a single species  over $n-$patches. The  model has an age structure consisting of immatures and matures,  and also considers mobility and culling  of both matures  and immatures.   Conditions are obtained for  extinction and persistence  of the model system under  three special scenarios: (i)  without impulsive control; (ii)  with impulsive culling of the immatures only; and (iii)  with impulsive culling of the matures only, respectively. In the case of  persistence, the persistence level is also estimated for the systems in the case of identical  $n$ patches, by relating the issue to the dynamics of multi-dimensional maps.  Two illustrative examples and their numerical  simulations are given to show the effectiveness of the results. Based on the theoretical results,  some strategies of impulsive culling are provided to eradicate  the population of a pest species.