彭亚红 教授

彭亚红，1971年4月出生，数学专业教授，2005年于上海交通大学获理学博士学位。 她主要从事偏微分方程的理论及其应用的研究工作，主持并完成国家自然科学青年基金项目（批准号：11101076）和上海市自然科学基金面上项目（批准号：11ZR1400200）各1项，参与完成国家自然科学基金面上项目3项。 目前正在主持1项上海市自然科学基金面上项目和参与一项国家自然科学基金面上项目。在Journal of Differential Equations、Journal of Dynamics and Differential Equations、Discrete and Continuous Dynamical Systems、Asymptotic Analysis、Journal of Mathematical Analysis and Applications、 Nonlinear Analysis、数学年刊等国内外重要学术期刊发表40余篇学术论文，主要研究工作包括半线性椭圆型方程的blow-up解、奇性波的非线性几何光学理论以及时滞反应扩散方程（组）的稳定性及分支理论。

研究方向：

1、  偏微分方程的理论与应用；

2、  生物数学。

荣誉及获奖情况：

1、  2022年荣获浙江省自然科学奖三等奖（东华大学排名第3）；

2、  2013年度东华大学比翼双飞模范佳侣。

近年来承担的主要科研项目：

1、  上海市自然科学基金面上项目（批准号： 23ZR1401700）, 非局部对流系统的稳定性与分支的研究, 2023-04-01 至 2026-03-31, 20万元, 在研, 主持；

2、  国家自然科学基金面上项目（批准号：12271088）, 基于接触网络的传染病传播和控制策略研究, 2023-01-01 至 2026-12-31, 46万元, 在研, 参与；

3、  国家自然科学基金面上项目（批准号：11971143）, 具有非局部反应的扩散系统的稳定性与分支, 2020-01-01 至 2023-12-31, 53万元, 已完成, 参与。

近年来发表的代表性论文：

(1)      Yahong Peng, Xingyu Yang, Tonghua Zhang: Dynamic analysis of a diffusive predator–prey model with hunting cooperation functional response and prey-taxis, Qualitative Theory of Dynamical Systems, 23(2):64, 2024.

(2)      Yahong Peng, Ke Yu: Turing pattern of a diffusive predator-prey model with nonlocal delay and herd behavior, Journal of Mathematical Analysis and Applications, 527(1), 127346, 2023.

(3)      Yahong Peng, Ke Yu, Yujing Li: Effect of spatial memory on a predator-prey model with herd behavior, International Journal of Biomathematics,2023, 2350082, DOI: 10.1142/S1793524523500821.

(4)      Yongli Song, Yahong Peng, Tonghua Zhang: Double Hopf bifurcation analysis in the memory- based diffusion system, Journal of Dynamics and Differential Equations, 2022, DOI:10.1007/s10884-022-10180-z

(5)      Yongli Song, Yahong Peng, Tonghua Zhang: The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system, Journal of Differential Equations, 300,597-624,2021.

(6)      Yahong Peng, Yujing Li,Tonghua Zhang: Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis, Nonlinear Analysis-Real World Applications, 61, 103326, 2021.

(7)      Yahong Peng, Guoying Zhang: Dynamics analysis of a predator–prey model with herd behavior and nonlocal prey competition, Mathematics and Computers in Simulation, 170, 366-378, 2020.

(8)      Yahong Peng, Heyang Ling: Pattern formation in a ratio-dependent predator-prey model with cross-diffusion, Applied Mathematics and Computation,331, 307-318,2018.

(9)      Yahong Peng, Yangyang Liu:Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model,Mathematical Methods in the Applied Sciences, 39(14), 4158-4170, 2016.

(10)   Yongli Song, Tonghua Zhang, Yahong Peng:Turing–Hopf bifurcation in the reaction–diffusion equations and its applications,Communications in Nonlinear Science and Numerical Simulation, 33, 229-258, 2016.

(11)   Yahong Peng, Tonghua Zhang: Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect, Applied Mathematics and Computation, 275, 1-12, 2016.

(12)   Yongli Song, Yahong Peng, Xinfu Zou: Persistence, stability and Hopf bifurcation in a ratio-dependent predator-prey model with diffusion and delay, International Journal of Bifurcation and Chaos, 24(7), 1-18, 2014.

(13)   Yahong Peng, Tonghua Zhang, M. O. Tade: Existence of travelling fronts in a diffusive vector disease model with Spatio-Temporal Delay,Nonlinear Analysis-Real World Applications, 11, 2472-2478, 2010.

(14)   Yahong Peng, Yaguang Wang: Refection of highly oscillatory waves with continuous oscillatory spectra for semilinear hyperbolic systems, Discrete and Continuous Dynamical Systems, 24, 1293-1306, 2009.

(15)   Yahong Peng, Yongli Song: Stability switches and Hopf bifurcations in a pair of identicaltri-neuron network loops, Physics Letters A, 373, 1744-1749, 2009.

(16)   Yahong Peng, Yaguang Wang: Multiple Highly Oscillatory Shock Waves, Asymptotic Analysis, 57, 143-198, 2008.

(17)   Yahong Peng, Yongli Song: Existence of traveling wave solutions for a reaction-diffusion equation with distributed delays, Nonlinear Analysis-Theory Methods Applications, 67, 2415-2423, 2007.

(18)   Yahong Peng, Yongli Song: Existence of travelling wave fronts for a diffusive vector disease model with delay, Journal of Dynamical and Control Systems, 12, 97-107, 2006.

(19)   Yahong Peng, Yaguang Wang: Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics, Journal of DifferentialEquations, 229, 317-352, 2006.

(20)   Yahong Peng, Yaguang Wang: Large solution of a semilinear elliptic problem, Computers & Mathematics with Application s, 49, 1387-1395, 2005.

国际交流与合作：

2013年3月—2014年2月：澳大利亚斯威本科技大学数学系，访问学者；

2012年7月—2012年8月：加拿大西安大略大学应用数学系，访问学者；

2009年1月—2009年3月: 澳大利亚科廷理工大学数学系，访问学者。

联系电话：67792089-535                          E-MAIL：pengyahong@dhu.edu.cn