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The main focus of my research is the theory of functional differential equations and its application to mathematical biology. In particular, delay differential equations have arisen naturally in the areas of mathematical ecology, population biology, and neural networks. I shall study the effects of delays on the dynamics of the underlying models.

• Early Researcher Award from the Ontario Ministry of Economic Development and Innovation (2005).

I have supervised some undergraduate, master and PhD students as well as several postdoctoral fellows interested in applied mathematics. I am willing to supervise graduate students and postdoctoral fellows in the areas of dynamical systems and mathematical biology. Contact me for more information.

• Y. Chen and F. Zhang. “Dynamics of a delayed predator-prey model with predator migration.” Appl. Math. Model 37, 1400-1412 (2013).
• J. Zhang, Z. Jin and Y. Chen. “Analysis of sexually transmitted disease spreading in heterosexual and homosexual populations.” Math. Biosci. 242, 143-152 (2013).
• T. Yi, Y. Chen and J. Wu. “Global dynamics of delayed reaction-diffusion equations in unbounded domains.” Z. Angew. Math. Phys. 63, 793-812 (2012).
• S. Zou, J. Wu and Y. Chen. “Multiple epidemic waves in a delayed susceptible-infected-recovered models on complex networks.” Physical Review E 83, 056121 (2011).
• T. Yi, Y. Chen and J. Wu. “Periodic solutions and the global attractor in a system of delay differential equations.” SIAM J. Math. Anal. 42, 24-63 (2010).
• Y. Chen. “Multiple periodic solutions of delayed predator-prey systems with type IV functional responses.” Nonlinear Anal. Real World Appl. 5, 45-53 (2004).
• Y. Chen and J. Wu. “Existence and attraction of a phase-locked oscillation in delayed network of two neurons.” Differential Integral Equations 14, 1181-1236 (2001).