
博士,1991,北京大学
Ph.D., 1991, Peking University
微分方程定性与稳定性理论、分支理论、生物数学
Qualitative Theory and Stability Theory of Differential Equations, Bifurcation Theory, Biology Math
1988.09--1991.06, Ph.D., Department of Mathematics, Peking University
1985.09--1988.06, Ms.D., Department of Mathematics, Central China Normal University
1981.09--1985.06, Bs.D., Department of Mathematics, Central China Normal University
2002.08-- Department of Mathematics, Shanghai Jiao Tong University, Professor
1991.07--2002.07 Department of Mathematics, Central China Normal University, Professor
2006.09--2007.05, Applied Mathematics, School of Engineering and Applied Sciences, Harvard University, Visiting Researcher
2005.01--2005.02, Department of Mathematics and Statistics , Miami University, Visiting Professor
2004.08--2004.09, Department of Mathematics and Statistics , York University, Visiting Professor
2004.07--2004.09, Department of Mathematics and Statistics, Memorial University of Newfoundland, Visiting Professor
2002.03--2002.08, Dept. of Math., Centre for Applied Dynamics and Optimization, The University of Western Australia, Visiting Professor
1999.11--2000.02, Dept. of Math. and Stat., Dalhousie University, Visiting Professor
1997.07--1997.10, Dept. of Math.and Stat., Dalhousie University, Visiting Professor
1996.04--1996.07, School of Mathematics, The Georgia Institute of Technology, Visiting Scholar
1995.03--1996.03, Mathematical Department, University of California at Berkeley, Postdoctor
2020年3月--6月 专业研讨课(IV)
2020年9月--12月 常微分方程Ordinary Differential Equations;动力系统 Dynamical Systems
1.2021.01--2025.12,微分方程的定性分析及其应用,上海市教委重大项目,2021科技创新-03-06,主持
2.2020.07--2023.06,非线性系统的全局动力学,上海市自然科学基金面上项目,20ZR1428700,主持
3.2020.01--2024.12,微分方程定性理论与分支问题研究,NSFC重点项目,11931016,参与
4.2015.01--2019.12,微分方程的定性与稳定性理论,NSFC重点项目,1431008,主持
5.2014.01--2017.12,微分系统的分支与渐近性态研究,NSFC面上项目,11371248,主持
6.2014.01--2016.12,非线性动力系统的分支与全局动力学研究,教育部博士点基金项目,20130073110074,主持
7.2010.04--2012.03,非线性系统的动力学相关理论及其应用,上海市科委学科带头人计划,10XD1406200,主持
8.2010.01--2013.12,微分方程分支理论及其应用,国家杰出青年科学基金,10925102,主持
2006年,非线性系统的动力学研究,上海市自然科学奖二等奖(排名第三)
2003年,非线性动力系统的全局理论及应用,教育部提名国家科学技术奖(自然科学奖)一等奖(排名第三)
2001年,面向信息时代的常微分方程与动力系统,湖北省教学成果一等奖(排名第二)
中国数学会副理事长,2020年1月—2023年12月
上海市非线性科学研究会副理事长,2020年6月至今
《Communications in Nonlinear Science and Numerical Simulation》编委,2020年至今
《应用数学》编委,2020年至今
《Discrete and Continuous Dynamical Systems Series B》编委,2018年至今
《应用数学学报》编委,2018年至今
《Journal of Mathematical Study》编委,2015年至今
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei; The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. J. Differential Equations 280 (2021), 139–178.
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei; The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. J. Differential Equations 276 (2021), 318–341.
Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei; Hilbert's 16th problem on a period annulus and Nash space of arcs. Math. Proc. Cambridge Philos. Soc. 169 (2020), no. 2, 377–409.
Llibre, Jaume; Xiao, Dongmei; On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems. Pacific J. Math. 306 (2020), no. 2, 611–644.
Liu, Changjian; Xiao, Dongmei; The smallest upper bound on the number of zeros of Abelian integrals. J. Differential Equations 269 (2020), no. 4, 3816–3852.
Chen, Hebai; Wei, Fengying; Xia, Yong-Hui; Xiao, Dongmei; Global dynamics of an asymmetry piecewise linear differential system: theory and applications. Bull. Sci. Math. 160 (2020), 102858, 43 pp.
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei; Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. J. Differential Equations 268 (2020), no. 8, 4618–4662.
Deng, Lianwang; Xiao, Dongmei; Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator. J. Differential Equations 267 (2019), no. 2, 1201–1246.
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang; Global dynamics of a piecewise smooth system for brain lactate metabolism. Qual. Theory Dyn. Syst. 18 (2019), no. 1, 315–332.
Xu, Zhaoquan; Xiao, Dongmei; Uniqueness of epidemic waves in a host-vector disease model. Proc. Amer. Math. Soc. 146 (2018), no. 9, 3875–3886.
Zhou, Peng; Xiao, Dongmei; Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system. J. Funct. Anal. 275 (2018), no. 2, 356–380.
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei; Global dynamics and bifurcation analysis of a host-parasitoid model with strong Allee effect. J. Biol. Dyn. 11 (2017), no. 1, 121–146.
Tang, Yilei; Xiao, Dongmei; Zhang, Weinian; Zhu, Di; Dynamics of epidemic models with asymptomatic infection and seasonal succession. Math. Biosci. Eng. 14 (2017), no. 5-6, 1407–1424.
Llibre, Jaume; Xiao, Dongmei; Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in R4+. J. Differential Equations 262 (2017), no. 3, 2231–2253.
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei; Bogdanov-Takens bifurcation in a predator-prey model. Z. Angew. Math. Phys. 67 (2016), no. 6, Art. 137, 29 pp.
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei; Bifurcations of a two-dimensional discrete time plant-herbivore system. Commun. Nonlinear Sci. Numer. Simul. 39 (2016), 185–198.
Yu, Pei; Han, Maoan; Xiao, Dongmei; Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. J. Math. Anal. Appl. 436 (2016), no. 1, 521–555.
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei; Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. J. Differential Equations 260 (2016), no. 5, 4473–4498.
Xiao, Dongmei; Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting. Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 2, 699–719.
Xu, Zhaoquan; Xiao, Dongmei; Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays. J. Differential Equations 260 (2016), no. 1, 268–303.
Lou, Yuan; Xiao, Dongmei; Zhou, Peng; Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Discrete Contin. Dyn. Syst. 36 (2016), no. 2, 953–969.
Françoise, Jean-Pierre; Xiao, Dongmei; Perturbation theory of a symmetric center within Liénard equations. J. Differential Equations 259 (2015), no. 6, 2408–2429.
Gui, Yongxin; Li, Wenxia; Xiao, Dongmei; Variational formula related to the self-affine Sierpinski carpets. Math. Nachr. 288 (2015), no. 5-6, 593–603.
Xu, Zhaoquan; Xiao, Dongmei; Regular traveling waves for a nonlocal diffusion equation. J. Differential Equations 258 (2015), no. 1, 191–223.
Wang, Na; Xiao, Dongmei; Yu, Jiang; The monotonicity of the ratio of hyperelliptic integrals. Bull. Sci. Math. 138 (2014), no. 7, 805–845.
Xu, Zhaoquan; Xiao, Dongmei; Minimal wave speed and uniqueness of traveling waves for a nonlocal diffusion population model with spatio-temporal delays. Differential Integral Equations 27 (2014), no. 11-12, 1073–1106.
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang; Asymptotic pattern of a migratory and nonmonotone population model. Discrete Contin. Dyn. Syst. Ser. B 19 (2014), no. 4, 1171–1195.
Llibre, Jaume; Xiao, Dongmei; Global dynamics of a Lotka-Volterra model with two predators competing for one prey. SIAM J. Appl. Math. 74 (2014), no. 2, 434–453.
Llibre, Jaume; Xiao, Dongmei; Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems. Proc. Amer. Math. Soc. 142 (2014), no. 6, 2047–2062.
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian; Identification of focus and center in a 3-dimensional system. Discrete Contin. Dyn. Syst. Ser. B 19 (2014), no. 2, 485–522.
Zhou, Peng; Xiao, Dongmei; The diffusive logistic model with a free boundary in heterogeneous environment. J. Differential Equations 256 (2014), no. 6, 1927–1954.
Zhou, Peng; Yu, Jiang; Xiao, Dongmei; A nonlinear diffusion problem arising in population genetics. Discrete Contin. Dyn. Syst. 34 (2014), no. 2, 821–841.
Wu, Chufen; Xiao, Dongmei; Travelling wave solutions in a non-local and time-delayed reaction-diffusion model. IMA J. Appl. Math. 78 (2013), no. 6, 1290–1317.
Ma, Jiying; Xiao, Dongmei; Nonlinear dynamics of a mathematical model on action potential duration and calcium transient in paced cardiac cells. Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 9, 2377–2396.
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang; Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. J. Differential Equations 255 (2013), no. 11, 3983–4011.
Liu, Changjian; Xiao, Dongmei; The monotonicity of the ratio of two Abelian integrals. Trans. Amer. Math. Soc. 365 (2013), no. 10, 5525–5544.
Cai, Linlin; Chen, Guoting; Xiao, Dongmei; Multiparametric bifurcations of an epidemiological model with strong Allee effect. J. Math. Biol. 67 (2013), no. 2, 185–215.
Wang, Na; Wang, Jihua; Xiao, Dongmei; The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. J. Differential Equations 254 (2013), no. 2, 323–341.
Fumanelli, Laura; Magal, Pierre; Xiao, Dongmei; Yu, Xiao; Qualitative analysis of a model for co-culture of bacteria and amoebae. Math. Biosci. Eng. 9 (2012), no. 2, 259–279.
Chen, Lili; Li, Yilong; Xiao, Dongmei; Bifurcation in a ratio-dependent predator-prey model with prey harvesting. Can. Appl. Math. Q. 19 (2011), no. 4, 293–318.
Wang, Jihua; Xiao, Dongmei; On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle. J. Differential Equations 250 (2011), no. 4, 2227–2243.
Xiao, Dongmei; Bossert, William H.; An intra-host mathematical model on interaction between HIV and malaria. Bull. Math. Biol. 72 (2010), no. 7, 1892–1911.
Wang, Ruiping; Xiao, Dongmei; Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system. Nonlinear Dynam. 59 (2010), no. 3, 411–422.
Yang, Yu; Xiao, Dongmei; Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models. Discrete Contin. Dyn. Syst. Ser. B 13 (2010), no. 1, 195–211.
Yang, Yu; Xiao, Dongmei; On existence of multiple positive solutions for ϕ-Laplacian multipoint boundary value. Nonlinear Anal. 71 (2009), no. 9, 4158–4166.
Xiao, Dongmei; Bifurcations on a five-parameter family of planar vector field. J. Dynam. Differential Equations 20 (2008), no. 4, 961–980.
Zang, Hong; Han, Maoan; Xiao, Dongmei; On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. J. Differential Equations 245 (2008), no. 4, 1086–1111.
Xiao, Dongmei; Zhang, Zhifen; On the existence and uniqueness of limit cycles for generalized Liénard systems. J. Math. Anal. Appl. 343 (2008), no. 1, 299–309.
Ruan, Shigui; Xiao, Dongmei; Beier, John C.; On the delayed Ross-Macdonald model for malaria transmission. Bull. Math. Biol. 70 (2008), no. 4, 1098–1114.
Zhao, Xiao-Qiang; Xiao, Dongmei; Errata to: "The asymptotic speed of spread and traveling waves for a vector disease model'' [J. Dynam. Differential Equations 18 (2006), no. 4, 1001–1019; MR2263414]. J. Dynam. Differential Equations 20 (2008), no. 1, 277–279.
Xiao, Dongmei; Ruan, Shigui; Global analysis of an epidemic model with nonmonotone incidence rate. Math. Biosci. 208 (2007), no. 2, 419–429.
Xiao, Dongmei; Zhang, Kate Fang; Multiple bifurcations of a predator-prey system. Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 2, 417–433.
Xiao, Dongmei; Zhou, Yugui; Qualitative analysis of an epidemic model. Can. Appl. Math. Q. 14 (2006), no. 4, 469–492.
Zhao, Xiao-Qiang; Xiao, Dongmei; The asymptotic speed of spread and traveling waves for a vector disease model. J. Dynam. Differential Equations 18 (2006), no. 4, 1001–1019.
Xiao, Dongmei; Li, Wenxia; Han, Maoan; Dynamics in a ratio-dependent predator-prey model with predator harvesting. J. Math. Anal. Appl. 324 (2006), no. 1, 14–29.
Yuan, Sanling; Xiao, Dongmei; Han, Maoan; Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Math. Biosci. 202 (2006), no. 1, 1–28.
Xiao, Dongmei; Zhu, Huaiping; Multiple focus and Hopf bifurcations in a predator-prey system with nonmonotonic functional response. SIAM J. Appl. Math. 66 (2006), no. 3, 802–819.
Liu, Xiaoli; Xiao, Dongmei; Bifurcations in a discrete time Lotka-Volterra predator-prey system. Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 3, 559–572.
Xiao, Dongmei; Jennings, Leslie Stephen; Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. SIAM J. Appl. Math. 65 (2005), no. 3, 737–753.
Ruan, Shigui; Xiao, Dongmei; Stability of steady states and existence of travelling waves in a vector-disease model. Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), no. 5, 991–1011.
Xiao, Dongmei; Zhang, Zhifeng; On the uniqueness and nonexistence of limit cycles for predator-prey systems. Nonlinearity 16 (2003), no. 3, 1185–1201.
Xiao, Dongmei; Li, Wenxia; Stability and bifurcation in a delayed ratio-dependent predator-prey system. Proc. Edinb. Math. Soc. (2) 46 (2003), no. 1, 205–220.
Liu, Weishi; Xiao, Dongmei; Yi, Yingfei; Relaxation oscillations in a class of predator-prey systems. J. Differential Equations 188 (2003), no. 1, 306–331.
Li, Wenxia; Xiao, Dongmei; Dekking, F. M.; Non-differentiability of devil's staircases and dimensions of subsets of Moran sets. Math. Proc. Cambridge Philos. Soc. 133 (2002), no. 2, 345–355.
Xiao, Dongmei; Ruan, Shigui; Global dynamics of a ratio-dependent predator-prey system. J. Math. Biol. 43 (2001), no. 3, 268–290.
Xiao, Dongmei; Ruan, Shigui; Multiple bifurcations in a delayed predator-prey system with nonmonotonic functional response. J. Differential Equations 176 (2001), no. 2, 494–510.
Xiao, Dongmei; Ruan, Shigui; Codimension two bifurcations in a predator-prey system with group defense. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 11 (2001), no. 8, 2123–2131.
Ruan, Shigui; Xiao, Dongmei; Global analysis in a predator-prey system with nonmonotonic functional response. SIAM J. Appl. Math. 61 (2000/01), no. 4, 1445–1472.
Li, Wen Xia; Xiao, Dong Mei; Dimensions of subsets of a class of Cantor-type sets. (Chinese) Acta Math. Sinica (Chin. Ser.) 43 (2000), no. 2, 225–232.
Xiao, Dongmei; Li, Wenxia; Limit cycles for the competitive three dimensional Lotka-Volterra system. J. Differential Equations 164 (2000), no. 1, 1–15.
Xiao, Dongmei; Deng, Zongqi; Absolute stability of time-varying nonlinear control system. Acta Math. Sci. (English Ed.) 19 (1999), no. 4, 442–448.
Xiao, Dongmei; Ruan, Shigui; Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Differential equations with applications to biology (Halifax, NS, 1997), 493–506, Fields Inst. Commun., 21, Amer. Math. Soc., Providence, RI, 1999.
Li, Wenxia; Xiao, Dongmei; On the intersection of translation of middle-α Cantor sets. Fractals and beyond (Valletta, 1998), 137–148, World Sci. Publ., River Edge, NJ, 1998.
Li, Wenxia; Xiao, Dongmei; The dimensions of self-similar sets. J. Math. Soc. Japan 50 (1998), no. 4, 789–799.
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen; Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Differential equations and control theory (Wuhan, 1994), 149–156, Lecture Notes in Pure and Appl. Math., 176, Dekker, New York, 1996.
Feng, Bei Ye; Xiao, Dong Mei; Heteroclinic bifurcations of heteroclinic cycles. (Chinese) Acta Math. Sinica 35 (1992), no. 6, 815–830.
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