講座題目：Dynamic analysis of a soil organic matter and plant system with reaction-diffusion

講座專家：張啟敏（寧夏大學(xué)教授/博士生導(dǎo)師）

講座對(duì)象：學(xué)院教師、碩士生,、本科生

講座時(shí)間：2021年5月28日 下午

講座地點(diǎn)：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院3401

內(nèi)容摘要：Soil organic matter (SOM) is considered to be a driving factor in determining plant patterns, but few dynamic models include both plant and SOM. In this paper, we presented a plant-SOM model with reaction diffusion to understand how SOM affects dynamic changes of plant growth. We proposed the existence and uniqueness of the global positive solution of the model and then defined the basic reproduction number : when , the plant-free equilibrium was globally asymptotically stable; when , the solution to the system was uniformly persistent. We also confirmed the global attractivity of a unique positive equilibrium when all the parameters of this model are constant. Finally, we conducted numerical simulations to verify the effectiveness of the theoretical analysis.

專家簡(jiǎn)介：張啟敏,，博士，寧夏大學(xué)數(shù)學(xué)統(tǒng)計(jì)學(xué)院二級(jí)教授,，博士研究生導(dǎo)師,，寧夏自治區(qū)313人才,。中國(guó)生物數(shù)學(xué)學(xué)會(huì)常務(wù)理事，中國(guó)人口學(xué)會(huì)理事和寧夏統(tǒng)計(jì)學(xué)會(huì)理事,。長(zhǎng)期以來(lái)一直從事隨機(jī)種群模型及固定資產(chǎn)模型的數(shù)值計(jì)算,、種群動(dòng)力學(xué)行為和最優(yōu)控制理論研究工作。主持完成國(guó)家自然基金3項(xiàng),、國(guó)家社科基金1項(xiàng)和省部級(jí)項(xiàng)目6項(xiàng),。在科學(xué)出版社出版學(xué)術(shù)專著2部，發(fā)表SCI檢索論文80余篇,。