彭亞紅 教授

彭亞紅，1971年4月出生，數(shù)學(xué)專業(yè)教授，2005年于上海交通大學(xué)獲理學(xué)博士學(xué)位。 她主要從事偏微分方程的理論及其應(yīng)用的研究工作，主持并完成國(guó)家自然科學(xué)青年基金項(xiàng)目（批準(zhǔn)號(hào)：11101076）和上海市自然科學(xué)基金面上項(xiàng)目（批準(zhǔn)號(hào)：11ZR1400200）各1項(xiàng)，參與完成國(guó)家自然科學(xué)基金面上項(xiàng)目3項(xiàng)。 目前正在主持1項(xiàng)上海市自然科學(xué)基金面上項(xiàng)目和參與一項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)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、數(shù)學(xué)年刊等國(guó)內(nèi)外重要學(xué)術(shù)期刊發(fā)表40余篇學(xué)術(shù)論文，主要研究工作包括半線性橢圓型方程的blow-up解、奇性波的非線性幾何光學(xué)理論以及時(shí)滯反應(yīng)擴(kuò)散方程（組）的穩(wěn)定性及分支理論。

研究方向：

1、  偏微分方程的理論與應(yīng)用；

2、  生物數(shù)學(xué)。

榮譽(yù)及獲獎(jiǎng)情況：

1、  2022年榮獲浙江省自然科學(xué)獎(jiǎng)三等獎(jiǎng)（東華大學(xué)排名第3）；

2、  2013年度東華大學(xué)比翼雙飛模范佳侶。

近年來(lái)承擔(dān)的主要科研項(xiàng)目：

1、  上海市自然科學(xué)基金面上項(xiàng)目（批準(zhǔn)號(hào)： 23ZR1401700）, 非局部對(duì)流系統(tǒng)的穩(wěn)定性與分支的研究, 2023-04-01 至 2026-03-31, 20萬(wàn)元, 在研, 主持；

2、  國(guó)家自然科學(xué)基金面上項(xiàng)目（批準(zhǔn)號(hào)：12271088）, 基于接觸網(wǎng)絡(luò)的傳染病傳播和控制策略研究, 2023-01-01 至 2026-12-31, 46萬(wàn)元, 在研, 參與；

3、  國(guó)家自然科學(xué)基金面上項(xiàng)目（批準(zhǔn)號(hào)：11971143）, 具有非局部反應(yīng)的擴(kuò)散系統(tǒng)的穩(wěn)定性與分支, 2020-01-01 至 2023-12-31, 53萬(wàn)元, 已完成, 參與。

近年來(lái)發(fā)表的代表性論文：

(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.

國(guó)際交流與合作：

2013年3月—2014年2月：澳大利亞斯威本科技大學(xué)數(shù)學(xué)系，訪問(wèn)學(xué)者；

2012年7月—2012年8月：加拿大西安大略大學(xué)應(yīng)用數(shù)學(xué)系，訪問(wèn)學(xué)者；

2009年1月—2009年3月: 澳大利亞科廷理工大學(xué)數(shù)學(xué)系，訪問(wèn)學(xué)者。

聯(lián)系電話：67792089-535                          E-MAIL：pengyahong@dhu.edu.cn