报告题目：Optimal control of a discrete-time plant-herbivore/pest model with bistability in fluctuating environments
报告简介：Discrete-time plant-pest models with two different constant control strategies (i.e., removal versus reduction strategies) have been investigated to understand how to regulate the population of pest. The corresponding optimal control problem has been explored on three scenarios of bistability plant-pest dynamics where these dynamics are determined by the growth rate of the plant and the damage rate inflicted by pest. Furthermore, the impacts of fluctuating environments on discrete time plant-pest dynamics have been explored. Through analysis and simulations, we identify and evaluate the optimal controls and their impact on the plant-pest dynamics. There are critical factors to characterize the optimal controls and the corresponding plant-pest dynamics such as the control upper bound (the effectiveness level of the implementation of control measures) and the initial conditions of the plant and pest. The results show that the pest is hard to be eliminated when the control upper bound is not large enough or the initial conditions are chosen from the inner point of the basin of attractions. However, as the control upper bound is increased or the initial conditions are chosen from near the boundary of the basin of attractions, then the pest can be manageable regardless of fluctuating environments.
报告人：Dr. Kang（康云） is a professor of Applied Mathematics in the sciences and mathematics faculty group of the College of Integrative Sciences and Arts (CISA) at Arizona State University. Dr. Kang joined ASU as an assistant professor in 2008, immediately after completing her doctorate in mathematics from ASU.  Her primary research interests are mathematical biology and nonlinear dynamical systems theory with applications in biology, life and social sciences. Her research has both theoretical and modeling components with empirical supports. The theoretical component is to study ecological and evolutionary dynamics of complex adaptive systems that are of interest to biologists, ecologists, and epidemiologists. The modeling component is to explore different modeling techniques, based on experiments or important hypotheses, to get a better understanding of quantitatively and qualitatively various aspects of biological/social behaviors, structures, and processes. She has published more than 110 articles in high profile journals of mathematical biology. Her current research areas are Mathematical Modeling of Complex Adaptive Systems with Data.  Dr. Kang established well-funded research programs in the area of Mathematical Biology and Complex Adaptive Systems; cultivated and launched ASU’s new Undergraduate Program in Applied Mathematics in CISA; mentored numerous graduate and undergraduate students (many of whom are underrepresented and minorities); piloted summer programs to increase minority engagement; and implemented new courses in her college unit. Dr. Kang has been actively involved in encouraging women and girls to study and to have active careers in the mathematical sciences. For example, she serves as American Mathematical Society (AMS) Representative to the Joint Committee on Women in the Mathematical Sciences.
报告时间：2024年6月13日（周四）下午3:00-5:00
报告地点：扬州大学瘦西湖校区数学科学学院208报告厅
联系人：冯涛
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