數(shù)學(xué)學(xué)院邀請(qǐng)重慶師范大學(xué)楊志春教授作學(xué)術(shù)報(bào)告

      重慶師范大學(xué)楊志春教授于4月28日晚上19：00，在騰訊會(huì)議825-949-025開展了題為“Effect of impulsive controls in a model system for age-structured population over a patchy environment”的學(xué)術(shù)報(bào)告。吳楚芬教授主持學(xué)術(shù)報(bào)告會(huì)，學(xué)院微分方程方向老師及研究生參會(huì)。整個(gè)學(xué)術(shù)報(bào)告精彩紛呈，理論與應(yīng)用相結(jié)合，引起了師生熱烈的反響。報(bào)告后，楊志春教授針對(duì)研究生和年輕博士老師們提出的疑問，開展了專門的輔導(dǎo)，并確定了合作的研究內(nèi)容。

       報(bào)告簡介：In this paper, a very general model of impulsive delay differential equations in n-patches is rigorously derived to describe the impulsive control of population of a single species over n-patches. The model allows 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: (1) without impulsive control; (2) with impulsive culling of the immatures only; and (3) 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.

       楊志春教授簡介：楊志春，重慶師范大學(xué)教授，本科畢業(yè)于西南大學(xué)數(shù)學(xué)系，2002、2006年分別就讀四川大學(xué)獲碩士、博士學(xué)位，曾訪問加拿大西安大略大學(xué)、美國德州農(nóng)工大學(xué)等。主要研究研究興趣包括泛函微分方程、脈沖混合系統(tǒng)、生物數(shù)學(xué)、神經(jīng)網(wǎng)絡(luò)，主持國家自然科學(xué)基金項(xiàng)目4項(xiàng)、省部級(jí)近10項(xiàng)，在IEEE TAC、J MATH BIOL、JDE等發(fā)表論文90余篇。