讲座题目：Dynamic analysis of a soil organic matter and plant system with reaction-diffusion
讲座专家：张启敏（宁夏大学教授/博士生导师）
讲座对象：学院教师、硕士生、本科生
讲座时间：2021年5月28日 下午
讲座地点：数学与统计学院3401
内容摘要：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.
专家简介：张启敏，博士，宁夏大学数学统计学院二级教授，博士研究生导师，宁夏自治区313人才。中国生物数学学会常务理事，中国人口学会理事和宁夏统计学会理事。长期以来一直从事随机种群模型及固定资产模型的数值计算、种群动力学行为和最优控制理论研究工作。主持完成国家自然基金3项、国家社科基金1项和省部级项目6项。在科学出版社出版学术专著2部，发表SCI检索论文80余篇。