Lecturer: Li Xianyi

Abstract:

In this talk, a discrete model is derived for a nonlinear simple population model, and its stability and bifurcation are investigated by invoking a key lemma we present. Our results display that a Neimark- Sacker bifurcation occurs in the positive fixed point of this system under certain parametric conditions. By using the Center Manifold Theorem and bifurcation theory, the stability of invariant closed orbits bifurcated is also obtained. The numerical simulation results not only show the correctness of our theoretical analysis, but also exhibit new and interesting dynamics of this system, which do not exist in its corresponding continuous version.

Introduction to the Lecturer:

Li Xianyi, male, doctor, second-level professor, doctoral supervisor, "Qianjiang Scholar" distinguished professor of Zhejiang Province, and "ZUST Scholar" of Zhejiang University of Science and Technology (ZUST); a Bachelor, Master and Doctor of East China Normal University, and Postdoctor of USTL; he has served in Hengyang Branch of Hunan University (as teaching assistant and secretary of the Youth League Branch), University of South China (as professor, doctoral supervisor and vice president), Shenzhen University (as professor, doctoral supervisor) and Yangzhou University (as professor, doctoral supervisor), and is now a professor of Zhejiang University of Science and Technology, director of the Institute of Nonlinear Analysis, and vice chairman of the Committee of Jiusan Society Zhejiang University of Science and Technology. Up to now, he has published more than 110 scientific research papers in famous journals in Europe, America, etc., including 60 in SCI, 31 in EI and 13 in Top journals, with an H-factor of 14; published a monograph in Germany. He presided over more than 20 scientific research projects (4 at the national level) and participated in 2 projects at the national level and 3 at the ministerial and provincial-level; rated as "Young Backbone Teacher of Hunan Province", "Candidate of '121' Talent Program of Hunan Province in the New Century", "Academic Leader of Hunan Province" and "Provincial Training Object of 'Thousand-Hundred-Ten' Talent Program of Guangdong Province"; received more than 20 scientific research awards and honors, such as "Advanced Workers in Science and Technology Work of Universities in Hunan Province", "Outstanding Achievements of Shanghai Postgraduates" (Excellent Doctor), and the Third National "Qin Yuanxun Ordinary Differential Equation Award".

Invited by:

Chen Zhang, Professor from School of Mathematics

Time:

19:30-20:30, September 3 (Friday)

Venue:

Tencent Meeting, Meeting ID:818 961 074

Hosted by: School of Mathematics, Shandong University