基本信息姓名彭亚红
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****
2013/03-2014/02 澳大利亚斯文本科技大学数学系 访问****
代表性论文&科研
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.
JianmingZhang,YahongPeng, 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.
YahongPeng, Large solution of semilinear elliptic equations with gradient terms,Chin. Ann. Math., Ser. A, Chinese, 26, 291-296, 2006.
YahongPeng, YaguangWang, 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