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Delayed Tick Population Model with Sub-linear Gamma-Ricker Nonlinearities

發(fā)布者:文明辦發(fā)布時(shí)間:2022-12-07瀏覽次數(shù):603


主講人:黃創(chuàng)霞 長(zhǎng)沙理工大學(xué)教授


時(shí)間:2022年12月8日20:00


地點(diǎn):騰訊會(huì)議 887 216 190


舉辦單位:數(shù)理學(xué)院


主講人介紹:黃創(chuàng)霞,博士,二級(jí)教授,博士生導(dǎo)師,長(zhǎng)沙理工大學(xué)副校長(zhǎng),主要從事時(shí)滯微分方程等領(lǐng)域的研究。主持國(guó)家自科面上項(xiàng)目2項(xiàng)、青年項(xiàng)目1項(xiàng),湖南省杰青等省部級(jí)課題10余項(xiàng),以第一作者在Journal of Differential Equations, Nonlinearity等期刊發(fā)表SCI收錄論文50余篇,獲湖南省政府特殊津貼(2019), 湖南省“芙蓉學(xué)者獎(jiǎng)勵(lì)計(jì)劃”青年學(xué)者人選(2019),湖南省第二屆“優(yōu)秀研究生導(dǎo)師”(2021),入選科睿唯安“全球高被引科學(xué)家”榜單(2021, 2022)、愛(ài)思唯爾(Elsevier)中國(guó)高被引學(xué)者榜單(2020,2021)。


內(nèi)容介紹:Taking into account that some eggs accomplish the evolutionary process via standard developmental delay and the rest with diapause-induced delay in the tick life cycle, we establish a general framework for modeling by introducing two delays. We also generalize the reproductive function from the Ricker-type to the Gamma-Ricker-type. This model has always one and only one positive equilibrium. Here we develop sharp conditions for this model to exhibit persistence and global convergence behaviors.