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        1. Spatial Modeling and Dynamics of Organic Matter Biodegradation

          發布者:文明辦作者:發布時間:2022-03-31瀏覽次數:10


          主講人:史峻平 美國威廉瑪麗學院(College of William & Mary)教授


          時間:2022年4月2日9:00


          地點:騰訊會議 478 127 447


          舉辦單位:數理學院


          主講人介紹:史峻平, 美國威廉瑪麗學院(College of William & Mary)數學系主任, 教授。1990-93年南開大學學習,1998年畢業于美國楊百翰大學,獲博士學位。主要研究方向為偏微分方程,動力系統,分歧理論,非線性泛函分析,生物數學。在偏微分方程,分歧理論方面的研究工作受到國際上廣泛重視。在生物數學方向包括種群模型,生物化學反應,形態生成,生態系統穩定性等方面都有研究。曾任哈爾濱師范大學龍江學者講座教授,山西大學百人計劃講座教授,主持參加美國國家科學基金會基金項目多項,主持組織國際學術會議20多次,在國際學術會議做大會報告/邀請報告100余次。擔任多個國際知名SCI刊物編委,為100多種數學、物理、生物刊物審稿人。發表學術論文180余篇,被引用7000余次。


          內容介紹:Biodegradation is a pivotal natural process for elemental recycling and preservation of an ecosystem. Mechanistic modeling of biodegradation has to keep track of chemical elements via stoichiometric theory, under which we propose and analyze a spatial movement model in the absence or presence of bacterivorous grazing. Sensitivity analysis shows that the organic matter degradation rate is most sensitive to the grazer's death rate when the grazer is present and most sensitive to the bacterial death rate when the grazer is absent. Therefore, these two death rates are chosen as the primary parameters in the conditions of most mathematical theorems. The existence, stability and persistence of solutions are proven by applying linear stability analysis, local and global bifurcation theory, and the abstract persistence theory. Through numerical simulations, we obtain the transient and asymptotic dynamics and explore the effects of all parameters on the organic matter decomposition. Grazers either facilitate biodegradation or has no impact on biodegradation, which resolves the “decomposition-facilitation paradox” in the spatial context. This is a joint work with Xiaoyuan Chang and Hao Wang.

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