彭亚红

基本信息姓名彭亚红
系室数学系
职称教授
联系方式见学院黄页
电子邮件pengyahong@dhu.edu.cn
研究方向偏微分方程的理论及应用
个人简介2005年6月获得上海交通大学理学博士学位,主要研究方向为偏微分方程的理论与应用。研究内容涉及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、反应扩散方程(组)的行波解及斑图动力学。在Journal of Differential Equations、Discrete and Continuous Dynamical Systems、Asymptotic Analysis、数学年刊等国内外杂志发表相关学术论文30多篇。主持完成1项国家自然科学基金、1项上海市自然科学基金;参与完成2项国家自然科学基金项目;目前参与1项国家自然科学基金项目。
学习经历起止年月学校专业学位/学历
2002/09-2005/06上海交通大学应用数学博士学位
1999/09-2002/06西北师范大学基础数学硕士学位
工作经历起止年月单位职称/职务
2005/07-至今东华大学理学院讲师、副教授、教授
2009/01-2009/03澳大利亚科廷理工大学数学系访问学者
2013/03-2014/02澳大利亚斯文本科技大学数学系访问学者
代表性论文&科研
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.
Yahong Peng,Yujing Li,Tonghua Zhang: Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis, Nonlinear Analysis-Real World Applications,61,2021,103326.
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.
Yahong Peng, Heyang Ling: Pattern formation in a ratio-dependent predator-prey model with cross-diffusion, Applied Mathematics and Computation, 331, 307-318,2018.
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.
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.
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.
Yongli Song, Yahong Peng, Xifu 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.
Yahong Peng, Tonghua Zhang: Stability and Hopf bifurcation analysis of a gene expression model with diffusion and time delay, Abstract and Applied Analysis, 2014, 1-9, 2014. 
Rui Yang, Yahong Peng, Yongli Song: Stability and Hopf bifurcation in an inverted pendulum with delayed feedback control, Nonlinear Dynamics,73(1-2), 737–749, 2013.
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.
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.
Yahong Peng, Yongli Song: Stability switches and Hopf bifurcations in a pair of identicaltri-neuron network loops, Physics Letters A, 373, 1744-1749, 2009.
Yahong Peng, Yaguang Wang: Multiple Highly Oscillatory Shock Waves, Asymptotic Analysis, 57, 143-198, 2008.
Jianming Zhang, Yahong Peng: Travelling waves of the diffusive Nicholson's blowflies equation with strong generic delay kernel and non-local effect, Nonlinear Analysis-Theory Methods & Applications, 68, 1263-1270, 2008.
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.
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.
Yahong Peng, Yaguang Wang: Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics, Journal of Differential Equations,229, 317-352, 2006.
Yahong Peng: Large solution of semilinear elliptic equations with gradient terms, Chin. Ann. Math., Ser. A, Chinese, 26, 291-296, 2006.
Yahong Peng, Yaguang Wang: Large solution of a semilinear elliptic problem, Computers & Mathematics with Applications, 49, 1387-1395, 2005.
主讲课程
数学分析、高等数学、线性代数、概率论与数理统计