Publications

• An Asymptotic Analysis of Spike Self-Replication and Spike Nucleation of Reaction-Diffusion Patterns on Growing 1-D Domains, Chunyi Gai, Edgardo Villar-Sepúlveda, Alan Champneys, Michael J. Ward. (Accepted by Bulletin of Mathematical Biology)
• Recurrent and Chaotic Outbreaks in SIR Model, Chunyi Gai, Theodore Kolokolnikov, Jan Schrader, Vedant Sharma. (European Journal of Applied Mathematics)
• The Nucleation-Annihilation Behavior for Hotspot Patterns of Urban Crime with Police Deployment, Chunyi Gai, Michael Ward. (SIADS)
• Localized Pattern Formation: Semi-strong Interaction Asymptotic Analysis for Three Components Model, Fahad Al Saadi, Chunyi Gai, Mark Nelson. (Proceedings of the Royal Society A)
• Resource-mediated Competition between Two Plant Species with Different Rates of Water Intake, Chunyi Gai, Theodore Kolokolnikov. (SIAM Journal on Applied Mathematics (SIAP), 2023)
• Spikes and Localized Patterns for a Novel Schnakenberg Model in the Semi-strong Interaction Regime, Fahad Alsaadi, Alan Champneys, Chunyi Gai, Theodore Kolokolnikov. (European Journal of Applied Mathematics, 2022)
• Spike Dynamics in the Presence of Noise, Chunyi Gai, Theodore Kolokolnikov, David Iron, John Rumsey. (SIAM Journal on Applied Dynamical Systems (SIADS), 2020)
• Localized Outbreaks in SIR Model with Diffusion, Chunyi Gai, David Iron, Theodore Kolokolnikov. (Journal of Mathematical Biology, 2020)
• Patterned Vegetation, Tipping Points, and the Rate of Climate Change, Yuxin Chen, Theodore Kolokolnikov, Justin Tzou, Chunyi Gai. (European Journal of Applied Mathematics, 2015)
• Qualitative Analysis of Stationary Keller-Segel Chemotaxis Models with Logistic Growth, Qi Wang, Jingda Yan, Chunyi Gai. (Zeitschrift für angewandte Mathematik und Physik (ZAMP), 2016)
• Qualitative Analysis of a Lotka-Volterra Competition System with Advection, Chunyi Gai, Qi Wang, Jingda Yan. (Discrete Contin. Dyn. Syst., 2015)