Analysis and Applied Math Seminar
The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involved advanced mathematical knowledge. However, the seminars are open to anyone who is interested in attending.
*Unless specified otherwise, seminars are held every other Wednesday from 3:30-4:30pm in D-250 on the Marietta Campus.
Wednesday, September 27, 2017
- Jonathan Lewin, Kennesaw State University
- "A Possible Revolution in the Way We Think About and Teach Integration"
*Thursday, October 5, 2017* - SPECIAL DATE
- Naveen K. Vaidya, San Diego State University
- "Infectious Disease Models at Within-Host and Between-Hosts Scales"
- ABSTRACT: Mathematical models are becoming increasingly useful in studying the dynamics of infectious diseases, from within-host to between-hosts scales. With HIV and influenza as case studies, I will demonstrate how modeling can provide great insights into complex phenomena of these diseases. First, I will present a within-host model that can help address some of the issues related to the HIV treatments in the face of drug resistance. Our model shows that although drug therapy cannot suppress the viral load due to resistance, it can alter the viral fitness resulting in an increase in CD4+ T cell (immune cell) count, which should yield clinical benefits. Furthermore, this benefit depends on the cell proliferation rate, which, in some situations, produces sustained T-cell oscillations. Second, using a between-hosts population model of avian influenza (AI) dynamics under periodic environmental conditions, we formulate threshold indexes, such as the basic reproductive number and the disease invasion threshold, which can describe the global dynamics of AI transmission. Our results show that time-varying environmental temperature predicts several interesting features of AI dynamics, which are observed in real data: peak-time variation, place-to-place variation, and seasonal double peaks (summer and fall).
Wednesday, October 11, 2017
- Zakaria El Allali, Georgia Institute of Technology
- "How small can a spectral gap be?"
- ABSTRACT: In this work, we will study the fundamental spectral gap for Schrodinger operator on an interval within the class of single-well potential.
Wednesday, November 8, 2017
- Dr. Andrei Olifer, Georgia Gwinnett College
- "A model of a virtual community with a decentralized reputation-based peer evaluation"
- ABSTRACT: This study was motivated by the problem of identifying fake news on the Internet. To explore possible solutions to this problem we introduce a model of a virtual community with a reputation system. The model is a system of ODEs for proportions of community members with certain reputations. Analytical and computational results suggest the proposed reputation system is effective in a wide range of the model parameters and even in cases when some members form cliques.