一、主要研究方向

泛函微分方程稳定性理论；微分方程初边值问题；反应扩散方程；偏微分方程在图像处理中的应用；生物动力系统；免疫学、种群生态学、流行病学、人工神经网络等相关领域实际问题的动力学建模与理论和数值分析。

二、科研工作

承担国家自然科学基金、教育部博士点新教师基金、北京高校青年英才计划等项目10余项，总经费达150万元。在SCI检索的国际杂志发表学术论文80余篇，代表性论文有： 

[1] G. Huang, Y. Takeuchi and W. Ma, Lyapunov functionals for delay differential equations

model of viral infections, SIAM J. Appl. Math., 70(2010), 2693–2708. (ESI高被引)

[2] G. Huang, Y. Takeuchi, W. Ma, D. Wei, Global stability for delay SIR and SEIR epidemic

models with nonlinear incidence rate, Bull. Math. Biol., 72(2010), 1192-1207. (ESI高被引)

[3] Z. Hu, S. Liu and H. Wang, Backward bifurcation of an epidemic model with standard

incidencerate and treatment rate, Nonl. Anal.- RWA, 9(2008), 2302-2312.

[4] X. Zhao, C. Chai and W. Ge, Positive solutions for fractional four-point boundary value

problems, Commun. Nonl. Sci. Numer. Simulat., 16 (2011), 3665–3672.

[5] Z. Zhao and E. Rong, Reaction diffusion equation with spatio-temporal delay, Commun.

Nonl. Sci. Numer. Simulat., 19 (2014), 2252–2261.