报告时间:2014年11月8日下午3点
报告地点:复杂系统研究所学术厅
报告题目:Dispersal in advective environments
报告人:楼元 教授
报告人简介:楼元,北京大学数学学士、硕士,美国明尼苏达大学数学博士,中国人民大学数学科学研究院院长, 美国俄亥俄州立大学数学教授。楼元教授是偏微分方程和生物数学领域的国际著名学者。
报告摘要:We consider some mathematical models in one-dimensional advective environments. Individuals are exposed to unidirectional flow, with the possibility of being lost through the boundary. Our analysis suggests that, in contrast to the case of no advection, slow dispersal is generally selected against in advective environments. When the diffusion and advection rates are small and comparable, we determine some criterion for the existence and multiplicity of evolutionarily stable strategies. We also study whether that these strategies are convergent stable.
报告人简介:楼元,北京大学数学学士、硕士,美国明尼苏达大学数学博士,中国人民大学数学科学研究院院长, 美国俄亥俄州立大学数学教授。楼元教授是偏微分方程和生物数学领域的国际著名学者。
报告摘要:We consider some mathematical models in one-dimensional advective environments. Individuals are exposed to unidirectional flow, with the possibility of being lost through the boundary. Our analysis suggests that, in contrast to the case of no advection, slow dispersal is generally selected against in advective environments. When the diffusion and advection rates are small and comparable, we determine some criterion for the existence and multiplicity of evolutionarily stable strategies. We also study whether that these strategies are convergent stable.