**Research** # Research Interests I am intrigued by qualitative studies of nonlinear evolution equations that occur in life sciences, with a focus on understanding the global and dynamical structure of solutions. Moreover, I am currently exploring the interplay between dynamical systems and machine learning. If you are a UIS student who shares similar interests in either or both of these areas, please do not hesitate to contact me for potential research opportunities.
# Selected Publications and Preprints

• L. Kong, Y. Guo, C. Lee, Prediction of the Prevalence of COVID-19 Using Epidemic Differential Equations and Deep Learning Network. Smart Innovation, Systems and Technologies (SIST) (accepted).
• L. Kong, Epidemic Modeling Using Differential Equations with Implementation in R. International Journal of Mathematical Education in Science and Technology, [https://doi.org/10.1080/0020739X.2023.2249902](https://doi.org/10.1080/0020739X.2023.2249902).
• L. Kong, Spreading Speeds of Monostable Equations in Locally Spatially Variational Habitat with Hybrid Dispersal. Journal of Applied Analysis & Computation, 2021, 11(1): 81-100. [doi: 10.11948/20190123](http://www.jaac-online.com/article/doi/10.11948/20190123)
• L. Kong, T. Nguyen, and W. Shen, Effects of Localized Spatial Variations on the Uniform Persistence and Spreading Speeds of Time-Periodic Two Species Competition Systems. Commun. Pure Appl. Anal. , July 2019, 18(4): 1613-1636. [Doi: 10.3934/cpaa.2019077](https://www.aimsciences.org/article/doi/10.3934/cpaa.2019077)
• L. Kong, N. Rawal, and W. Shen, Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats, Mathematical Modelling of Natural Phenomena, Volume 10, Number 6, 2015, pp 113-141. [Doi: 10.1051/mmnp/201510609](https://www.mmnp-journal.org/articles/mmnp/abs/2015/06/mmnp2015106p113/mmnp2015106p113.html)
• L. Kong and W. Shen, Liouville Type Property and Spreading Speeds of KPP Equations in Periodic Media with Localized Spatial Inhomogeneity, Journal of Dynamics and Differential Equations, 2014, Volume 26, Issue 1, pp 181-215. [Doi: 10.1007/s10884-014-9351-8](https://link.springer.com/article/10.1007/s10884-014-9351-8)
• L. Kong and W. Shen, Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media, Methods and Applications of Analysis, Vol. 18, No. 4 (2011), pp. 427-456. [DOI: 10.4310/MAA.2011.v18.n4.a5](https://www.intlpress.com/site/pub/pages/journals/items/maa/content/vols/0018/0004/a005/index.php)
• L. Kong, Spatial Spread Dynamics of Monostable Equations in Spatially Locally Inhomogeneous Media with Temporal Periodicity, Ph.D Dissertation. [http://hdl.handle.net/10415/3658](http://hdl.handle.net/10415/3658)

# Selected Conferences and Talks

• Dec. 7-9, 2023, Chihlee University of Technology, New Taipei City. 2023 International Conference on Security and Information Technologies with AI, Internet Computing and Big-data Applications (SITAIBA’23).
• October 7-8, 2023, AMS Sectional Meeting at Creighton University, Omaha, Nebraska.
• March 27, 2023, ChatGPT is coming - Architecture, Applications, and Opportunities, Center for Faculty Excellence, University of Illinois Springfield.
• May 29-June 2, 2018, PIC Math Faculty Training Workshop, Brigham Young University, Provo, UT.
• Oct 27-29, 2017, 1st Biennial Meeting of SIAM Pacific Northwest Section, Oregon State University, Corvallis, Oregon.
• Oct 3-4, 2015, AMS Central Fall Sectional Meeting, Loyola University Chicago, Chicago, IL.
• Oct 5-6, 2013, AMS Fall Southeastern Section Meeting, University of Louisville, Louisville, KY.
• May 19-23, 2013, SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort, Snowbird, UT.
• Jan 9-12, 2013, Joint Mathematics Meeting, San Diego, CA.

By the common mathematics/theoretical computer science convention, authors are ordered *alphabetically* by last names. # Conference Publications (Supervised students are underlined.)

8. Xiang Huang and Rachel Huls . [Computing Real Numbers with Large-Population Protocols Having a Continuum of Equilibria.](https://arxiv.org/abs/2206.06594) The 28th International Conference on DNA Computing and Molecular Programming (DNA 28, Albuquerque, NM, Aug 8-12, 2022).
9. L. Kong, Y. Guo, S. Siuly, Forecasting the Prevalence of COVID-19 Using Epidemic Differential Equations and Recurrent Neural Network. ()
10. Xiang Huang, Jack H. Lutz, Elvira Mayordomo, and Donald M. Stull, Asymptotic divergences and strong dichotomy, Proceedings of the Thirty-seventh Symposium on Theoretical Aspects of Computer Science (STACS 2020, Montpellier, France, March 10-13, 2020) [Journal Version](../mypapers/ADSD-TIT.pdf)
11. Xiang Huang, Jack H. Lutz, and Andrei N. Migunov. [Algorithmic Randomness in Continuous-Time Markov Chains](https://arxiv.org/abs/1910.13620), 2019. In Proceedings of the 57th Annual Allerton Conference on Communication, Control, and Computing.
12. Xiang Huang, Titus H. Klinge, James I. Lathrop. [Real-Time Equivalence of Chemical Reaction Networks and Analog Computers.](../mypapers/RTCRN2.pdf) In: Thachuk C., Liu Y. (eds) DNA Computing and Molecular Programming. DNA 2019. Lecture Notes in Computer Science, vol 11648. Springer, Cham.
13. Xiang Huang, Titus H. Klinge, James I. Lathrop, Xiaoyuan Li, and Jack H. Lutz. Real-Time Computability of Real Numbers by Chemical Reaction Networks. In Proceedings of the 16th International Conference on Unconventional Computation and Natural Computation (UCNC), June 2017, pp. 29-40. [Journal Version](../mypapers/RTCRN1.pdf)
14. Xiang Huang and Donald. M. Stull. [Polynomial Space Randomness in Analysis.](../mypapers/PSRA.pdf) In Proceedings of the 41st International Symposium on Mathematical Foundations of Computer Science (MFCS), August 2016:86:1-86:13.

# PhD Thesis * [Chemical reaction networks: Computability, complexity, and randomness.](https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=9335&context=etd) Iowa State University, 2020.