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5月18日 南京航空航天大学赵洪涌教授学术报告

  • 2026-05-30 00:37:36
5月18日 南京航空航天大学赵洪涌教授学术报告

南京航空航天大学

赵洪涌教授学术报告

5月18日

报告人:

赵洪涌 教授

报告题目:

Dynamics of  a reaction-diffusion-advection  model with spatial heterogeneity

报告时间:

2026年5月18日(周一)下午3:00

报告地点:

腾讯会议:717482132

主办单位:

数学与统计学院、数学研究院、科学技术研究院

报告人简介:

赵洪涌,南京航空航天大学二级教授,博士生导师,九三学社社员。现为中国数学会生物数学专委会常务委员。长期从事生物系统动力学、传染病动力学分析与控制、时滞微分方程动力学等研究。入选江苏省高校“青蓝工程”优秀青年骨干教师和中青年学术带头人。2014年至2025年,连续十二年入选爱思唯尔中国高被引学者榜单。主持省和国家自然科学基金面上项目多项。获省自然科学优秀论文二等奖一项、省教育科学研究成果二等奖一项。2016年入选南京航空航天大学年度人物。国家科技部重大项目和江苏省高校重大项目会评专家。在Journal of Differential Equations、Journal of Dynamics and Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、Bulletin of Mathematical Biology、Mathematical Biosciences、Journal of Nonlinear Science、Chaos等国际重要期刊上发表学术论文一百四十余篇,被SCI刊物引用三千余次。

报告摘要:

In this talk, we formulate and analyze a reaction-diffusion-advection vector-borne disease model with spatial heterogeneity. We find the aggregation phenomenon of endemic equilibrium and classify possible dynamics for the model, including the asymptotic profiles and monotonicity of basic reproduction ratio R_0 with respect to the diffusion and advection rates of infected hosts and vectors. More importantly, we obtain some crucial and interesting phenomena by classifying the level set of R_0. Specifically, there exist unique critical surfaces to separate the dynamics, namely, the disease-free equilibrium is stable on one side of the surface and unstable on the other side. The resulting aggregation phenomenon shows that the infected individuals will aggregate in the downstream end if their advection rates are sufficiently large relative to dispersal.

END

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  1. CONNECT:[ UseTime:0.000445s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000631s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.001126s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.003852s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000639s ]
  6. SELECT * FROM `set` [ RunTime:0.001162s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000611s ]
  8. SELECT * FROM `article` WHERE `id` = 565567 LIMIT 1 [ RunTime:0.005638s ]
  9. UPDATE `article` SET `lasttime` = 1780401686 WHERE `id` = 565567 [ RunTime:0.004753s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000577s ]
  11. SELECT * FROM `article` WHERE `id` < 565567 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.003584s ]
  12. SELECT * FROM `article` WHERE `id` > 565567 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.019442s ]
  13. SELECT * FROM `article` WHERE `id` < 565567 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.013940s ]
  14. SELECT * FROM `article` WHERE `id` < 565567 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.013214s ]
  15. SELECT * FROM `article` WHERE `id` < 565567 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.006204s ]
0.156813s