一、主要研究方向

泛函微分方程穩定性理論；微分方程初邊值問題；反應擴散方程；偏微分方程在圖像處理中的應用；生物動力係統；免疫學、種群生態學、流行病學、人工神經網絡等相關領域實際問題的動力學建模與理論和數值分析。

二、科研工作

承擔國家自然科學基金、教育部博士點新教師基金、北京高校青年英才計劃等項目10餘項，總經費達150萬元。在SCI檢索的國際雜誌發表學術論文80餘篇，代表性論文有： 

[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.