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Author ID: xiao.dongmei Recent zbMATH articles by "Xiao, Dongmei"
Published as: Xiao, Dongmei; Xiao, Dong-Mei
all top 5

Serials

22 Journal of Differential Equations
8 Discrete and Continuous Dynamical Systems. Series B
5 Chaos, Solitons and Fractals
4 Journal of Mathematical Analysis and Applications
4 Journal of Central China Normal University. Natural Sciences
4 SIAM Journal on Applied Mathematics
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Mathematical Biosciences and Engineering
3 Journal of Mathematical Biology
3 Journal of Dynamics and Differential Equations
3 Acta Mathematica Scientia. Series B. (English Edition)
2 Linear and Multilinear Algebra
2 Mathematical Biosciences
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Bulletin of Mathematical Biology
2 Acta Mathematica Sinica
2 Applied Mathematics and Computation
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Matrix Analysis and Applications
2 The Canadian Applied Mathematics Quarterly
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
2 Communications in Nonlinear Science and Numerical Simulation
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Shanghai Jiaotong University (Chinese Edition)
1 Differential and Integral Equations
1 Automation and Remote Control
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Acta Mathematica Scientia
1 Computational and Applied Mathematics
1 Nonlinear Dynamics
1 Discrete Dynamics in Nature and Society
1 Qualitative Theory of Dynamical Systems
1 International Journal of Applied Mechanics and Engineering
1 Communications in Mathematical Sciences
1 Journal of Biological Dynamics
1 Journal of Nanjing University of Information Science and Technology. Natural Science Edition
1 Scientia Sinica. Mathematica
1 Journal of Applied Analysis and Computation

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 2,965 times in 2,201 Documents Cited by Year
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
307
2001
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
257
2007
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
182
2007
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
163
2001
Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. Zbl 1094.34024
Xiao, Dongmei; Jennings, Leslie Stephen
129
2005
Dynamics in a ratio-dependent predator–prey model with predator harvesting. Zbl 1122.34035
Xiao, Dongmei; Li, Wenxia; Han, Maoan
102
2006
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
94
2007
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
93
1999
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
90
2004
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
80
2008
Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system. Zbl 1390.35166
Zhou, Peng; Xiao, Dongmei
76
2018
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
66
2016
The diffusive logistic model with a free boundary in heterogeneous environment. Zbl 1316.35156
Zhou, Peng; Xiao, Dongmei
65
2014
Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response. Zbl 1062.92070
Huang, Jicai; Xiao, Dongmei
60
2004
Limit cycles for the competitive three dimensional Lotka-Volterra system. Zbl 0960.34022
Xiao, Dongmei; Li, Wenxia
55
2000
Relaxation oscillations in a class of predator-prey systems. Zbl 1094.34025
Liu, Weishi; Xiao, Dongmei; Yi, Yingfei
52
2003
On the uniqueness and nonexistence of limit cycles for predator-prey systems. Zbl 1042.34060
Xiao, Dongmei; Zhang, Zhifeng
52
2003
Multiple focus and Hopf bifurcations in a predator-prey system with nonmonotonic functional response. Zbl 1109.34034
Xiao, Dongmei; Zhu, Huaiping
49
2006
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation. Zbl 1485.35346
Song, Cai-Qin; Xiao, Dong-Mei; Zhu, Zuo-Nong
47
2017
The asymptotic speed of spread and traveling waves for a vector disease model. Zbl 1114.45001
Zhao, Xiao-Qiang; Xiao, Dongmei
40
2006
On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle. Zbl 1217.34051
Wang, Jihua; Xiao, Dongmei
39
2011
Multiparametric bifurcations of an epidemiological model with strong Allee effect. Zbl 1283.34049
Cai, Linlin; Chen, Guoting; Xiao, Dongmei
37
2013
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
36
2018
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
35
2001
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
33
2015
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
33
2020
Stability and bifurcation in a delayed ratio-dependent predator-prey system. Zbl 1041.92028
Xiao, Dongmei; Li, Wenxia
28
2003
On Lotka-Volterra competitive parabolic systems: exclusion, coexistence and bistability. Zbl 1461.35127
Zhou, Peng; Tang, De; Xiao, Dongmei
28
2021
Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037
Llibre, Jaume; Xiao, Dongmei
26
2014
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
26
2012
On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. Zbl 1155.34026
Zang, Hong; Han, Maoan; Xiao, Dongmei
26
2008
Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action. Zbl 1195.92058
Zhou, Yugui; Xiao, Dongmei; Li, Yilong
25
2007
Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models. Zbl 1187.34121
Yang, Yu; Xiao, Dongmei
25
2010
Bifurcations in a discrete time Lotka-Volterra predator-prey system. Zbl 1100.37054
Liu, Xiaoli; Xiao, Dongmei
24
2006
Bifurcations on a five-parameter family of planar vector field. Zbl 1163.34024
Xiao, Dongmei
23
2008
Multiple bifurcations of a predator-prey system. Zbl 1142.34032
Xiao, Dongmei; Zhang, Kate Fang
19
2007
Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays. Zbl 1439.35281
Xu, Zhaoquan; Xiao, Dongmei
18
2016
Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. Zbl 1317.35131
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
18
2013
Bifurcations of a two-dimensional discrete time plant-herbivore system. Zbl 1510.92166
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
18
2016
Regular traveling waves for a nonlocal diffusion equation. Zbl 1323.35089
Xu, Zhaoquan; Xiao, Dongmei
17
2015
On the existence and uniqueness of limit cycles for generalized Liénard systems. Zbl 1143.34020
Xiao, Dongmei; Zhang, Zhifen
17
2008
The within-host dynamics of malaria infection with immune response. Zbl 1259.34027
Li, Yilong; Ruan, Shigui; Xiao, Dongmei
16
2011
Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072
Yu, Pei; Han, Maoan; Xiao, Dongmei
16
2016
Global dynamics and bifurcation analysis of a host-parasitoid model with strong Allee effect. Zbl 1448.92377
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
16
2017
Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system. Zbl 1183.92086
Wang, Ruiping; Xiao, Dongmei
15
2010
The monotonicity of the ratio of two abelian integrals. Zbl 1283.34026
Liu, Changjian; Xiao, Dongmei
15
2013
Bifurcation of limit cycles and separatrix loops in singular Liénard systems. Zbl 1048.34082
Han, Maoan; Bi, Ping; Xiao, Dongmei
13
2004
Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088
Françoise, Jean-Pierre; Xiao, Dongmei
13
2015
Global dynamics of a quintic Liénard system with \(\mathbb{Z}_2\)-symmetry. I: Saddle case. Zbl 1478.34033
Chen, Hebai; Tang, Yilei; Xiao, Dongmei
12
2021
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Zbl 1112.34062
Yuan, Sanling; Xiao, Dongmei; Han, Maoan
11
2006
Travelling wave solutions in a non-local and time-delayed reaction-diffusion model. Zbl 1282.35388
Wu, Chufen; Xiao, Dongmei
11
2013
Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting. Zbl 1331.34101
Xiao, Dongmei
11
2016
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
11
2016
Global dynamics of an asymmetry piecewise linear differential system: theory and applications. Zbl 1437.34036
Chen, Hebai; Wei, Fengying; Xia, Yong-Hui; Xiao, Dongmei
11
2020
Qualitative analysis of an epidemic model. Zbl 1134.92032
Xiao, Dongmei; Zhou, Yugui
11
2006
Minimal wave speed and uniqueness of traveling waves for a nonlocal diffusion population model with spatio-temporal delays. Zbl 1340.35155
Xu, Zhaoquan; Xiao, Dongmei
10
2014
Hilbert’s 16th problem on a period annulus and Nash space of arcs. Zbl 1498.34092
Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei
10
2020
On accurate computations of the Perron root. Zbl 0774.65016
Elsner, L.; Koltracht, I.; Neumann, M.; Xiao, D.
9
1993
The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. Zbl 1270.34058
Wang, Na; Wang, Jihua; Xiao, Dongmei
9
2013
Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems. Zbl 1305.37045
Llibre, Jaume; Xiao, Dongmei
8
2014
A mathematical model with delays for schistosomiasis japonicum transmission. Zbl 1213.34103
Yang, Yu; Xiao, Dongmei
8
2010
Error estimation of the parametric non-intrusive reduced order model using machine learning. Zbl 1441.62081
Xiao, D.
8
2019
On existence of multiple positive solutions for \(\phi\)-Laplacian multipoint boundary value. Zbl 1173.34315
Yang, Yu; Xiao, Dongmei
7
2009
The smallest upper bound on the number of zeros of abelian integrals. Zbl 1464.34057
Liu, Changjian; Xiao, Dongmei
7
2020
Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. Zbl 1339.34052
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
7
2016
Dynamics of epidemic models with asymptomatic infection and seasonal succession. Zbl 1365.92135
Tang, Yilei; Xiao, Dongmei; Zhang, Weinian; Zhu, Di
7
2017
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
7
2019
Persistence and average persistence of a nonautonomous Kolmogorov system. Zbl 1154.92039
Han, Xinli; Teng, Zhidong; Xiao, Dongmei
6
2006
Asymptotic pattern of a migratory and nonmonotone population model. Zbl 1304.35082
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
5
2014
The monotonicity of the ratio of hyperelliptic integrals. Zbl 1316.34032
Wang, Na; Xiao, Dongmei; Yu, Jiang
5
2014
Intersection of translations of Cantor triadic set. Zbl 0930.28007
Li, Wenxia; Xiao, Dongmei
5
1999
The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. Zbl 1465.34042
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei
5
2021
On the distribution of zeros of a third-degree exponential polynomial with applications to delayed biological systems. Zbl 1399.30020
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
5
2017
Errata to “The asymptotic speed of spread and traveling waves for a vector disease model”. Zbl 1168.45302
Zhao, Xiao-Qiang; Xiao, Dongmei
5
2008
A DNA procedure for solving the shortest path problem. Zbl 1112.90090
Wang, Zhaocai; Xiao, Dongmei; Li, Wenxia; He, Lin
4
2006
DNA ternary addition. Zbl 1113.68053
Li, Wenxia; Xiao, Dongmei; He, Lin
4
2006
The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. Zbl 1270.34057
Wang, Jihua; Xiao, Dongmei; Han, Maoan
4
2013
The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. Zbl 1466.34033
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
4
2021
Identification of focus and center in a 3-dimensional system. Zbl 1287.34023
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian
4
2014
On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay. Zbl 1466.35083
Xu, Zhaoquan; Xiao, Dongmei
4
2021
Generation of heteroclinic cycles from a heteroclinic cycle by bifurcation. Zbl 0782.34043
Feng, Beiye; Xiao, Dongmei
3
1992
On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0802.15009
Koltracht, I.; Neumann, M.; Xiao, D.
3
1993
An intra-host mathematical model on interaction between HIV and malaria. Zbl 1202.92053
Xiao, Dongmei; Bossert, William H.
3
2010
Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in \(\mathbb{R}_+^4\). Zbl 1354.37061
Llibre, Jaume; Xiao, Dongmei
3
2017
Global dynamics of hybrid van der Pol-Rayleigh oscillators. Zbl 1496.34063
Chen, Hebai; Tang, Yilei; Xiao, Dongmei
3
2021
Uniqueness of epidemic waves in a host-vector disease model. Zbl 1393.35108
Xu, Zhaoquan; Xiao, Dongmei
3
2018
Non-differentiability of devil’s staircases and dimensions of subsets of Moran sets. Zbl 1014.28004
Li, Wenxia; Xiao, Dongmei; Dekking, F. M.
2
2002
Dimensions of subsets of a class of Cantor-type sets. Zbl 1008.28009
Li, Wenxia; Xiao, Dongmei
2
2000
Nonlinear dynamics of a mathematical model on action potential duration and calcium transient in paced cardiac cells. Zbl 1305.92030
Ma, Jiying; Xiao, Dongmei
2
2013
Periodic solutions for a predator-prey model with periodic harvesting rate. Zbl 1300.34117
Tang, Yilei; Xiao, Dongmei
2
2014
On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems. Zbl 1453.37054
Llibre, Jaume; Xiao, Dongmei
2
2020
Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives. Zbl 1525.34077
Ruan, Shigui; Xiao, Dongmei
2
2023
Condition and accuracy of algorithms for computing Schur coefficients of Toeplitz matrices. Zbl 0807.65042
Gohberg, I.; Koltracht, I.; Xiao, D.
1
1994
Corrections: On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0847.15008
Koltracht, I.; Neumann, M.; Xiao, D.
1
1995
Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Zbl 0855.34048
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen
1
1996
Hopf bifurcation in a diffusive predator-prey model with group defence. Zbl 0986.92038
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
1
1998
A nonlinear diffusion problem arising in population genetics. Zbl 1280.35008
Zhou, Peng; Yu, Jiang; Xiao, Dongmei
1
2014
Propagation dynamics in an integro-differential Fisher-KPP equation with degenerated reaction functions. Zbl 1484.35117
Xu, Zhaoquan; Xiao, Dongmei
1
2022
Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator. Zbl 1475.47041
Deng, Lianwang; Xiao, Dongmei
1
2019
Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers. Zbl 07805441
He, Hongjin; Liu, Changjian; Xiao, Dongmei
1
2024
Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers. Zbl 07805441
He, Hongjin; Liu, Changjian; Xiao, Dongmei
1
2024
Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives. Zbl 1525.34077
Ruan, Shigui; Xiao, Dongmei
2
2023
Propagation dynamics in an integro-differential Fisher-KPP equation with degenerated reaction functions. Zbl 1484.35117
Xu, Zhaoquan; Xiao, Dongmei
1
2022
On Lotka-Volterra competitive parabolic systems: exclusion, coexistence and bistability. Zbl 1461.35127
Zhou, Peng; Tang, De; Xiao, Dongmei
28
2021
Global dynamics of a quintic Liénard system with \(\mathbb{Z}_2\)-symmetry. I: Saddle case. Zbl 1478.34033
Chen, Hebai; Tang, Yilei; Xiao, Dongmei
12
2021
The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. Zbl 1465.34042
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei
5
2021
The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. Zbl 1466.34033
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
4
2021
On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay. Zbl 1466.35083
Xu, Zhaoquan; Xiao, Dongmei
4
2021
Global dynamics of hybrid van der Pol-Rayleigh oscillators. Zbl 1496.34063
Chen, Hebai; Tang, Yilei; Xiao, Dongmei
3
2021
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
33
2020
Global dynamics of an asymmetry piecewise linear differential system: theory and applications. Zbl 1437.34036
Chen, Hebai; Wei, Fengying; Xia, Yong-Hui; Xiao, Dongmei
11
2020
Hilbert’s 16th problem on a period annulus and Nash space of arcs. Zbl 1498.34092
Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei
10
2020
The smallest upper bound on the number of zeros of abelian integrals. Zbl 1464.34057
Liu, Changjian; Xiao, Dongmei
7
2020
On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems. Zbl 1453.37054
Llibre, Jaume; Xiao, Dongmei
2
2020
Error estimation of the parametric non-intrusive reduced order model using machine learning. Zbl 1441.62081
Xiao, D.
8
2019
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
7
2019
Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator. Zbl 1475.47041
Deng, Lianwang; Xiao, Dongmei
1
2019
Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system. Zbl 1390.35166
Zhou, Peng; Xiao, Dongmei
76
2018
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
36
2018
Uniqueness of epidemic waves in a host-vector disease model. Zbl 1393.35108
Xu, Zhaoquan; Xiao, Dongmei
3
2018
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation. Zbl 1485.35346
Song, Cai-Qin; Xiao, Dong-Mei; Zhu, Zuo-Nong
47
2017
Global dynamics and bifurcation analysis of a host-parasitoid model with strong Allee effect. Zbl 1448.92377
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
16
2017
Dynamics of epidemic models with asymptomatic infection and seasonal succession. Zbl 1365.92135
Tang, Yilei; Xiao, Dongmei; Zhang, Weinian; Zhu, Di
7
2017
On the distribution of zeros of a third-degree exponential polynomial with applications to delayed biological systems. Zbl 1399.30020
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
5
2017
Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in \(\mathbb{R}_+^4\). Zbl 1354.37061
Llibre, Jaume; Xiao, Dongmei
3
2017
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
66
2016
Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays. Zbl 1439.35281
Xu, Zhaoquan; Xiao, Dongmei
18
2016
Bifurcations of a two-dimensional discrete time plant-herbivore system. Zbl 1510.92166
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
18
2016
Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072
Yu, Pei; Han, Maoan; Xiao, Dongmei
16
2016
Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting. Zbl 1331.34101
Xiao, Dongmei
11
2016
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
11
2016
Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. Zbl 1339.34052
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
7
2016
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
33
2015
Regular traveling waves for a nonlocal diffusion equation. Zbl 1323.35089
Xu, Zhaoquan; Xiao, Dongmei
17
2015
Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088
Françoise, Jean-Pierre; Xiao, Dongmei
13
2015
The diffusive logistic model with a free boundary in heterogeneous environment. Zbl 1316.35156
Zhou, Peng; Xiao, Dongmei
65
2014
Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037
Llibre, Jaume; Xiao, Dongmei
26
2014
Minimal wave speed and uniqueness of traveling waves for a nonlocal diffusion population model with spatio-temporal delays. Zbl 1340.35155
Xu, Zhaoquan; Xiao, Dongmei
10
2014
Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems. Zbl 1305.37045
Llibre, Jaume; Xiao, Dongmei
8
2014
Asymptotic pattern of a migratory and nonmonotone population model. Zbl 1304.35082
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
5
2014
The monotonicity of the ratio of hyperelliptic integrals. Zbl 1316.34032
Wang, Na; Xiao, Dongmei; Yu, Jiang
5
2014
Identification of focus and center in a 3-dimensional system. Zbl 1287.34023
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian
4
2014
Periodic solutions for a predator-prey model with periodic harvesting rate. Zbl 1300.34117
Tang, Yilei; Xiao, Dongmei
2
2014
A nonlinear diffusion problem arising in population genetics. Zbl 1280.35008
Zhou, Peng; Yu, Jiang; Xiao, Dongmei
1
2014
Multiparametric bifurcations of an epidemiological model with strong Allee effect. Zbl 1283.34049
Cai, Linlin; Chen, Guoting; Xiao, Dongmei
37
2013
Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. Zbl 1317.35131
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
18
2013
The monotonicity of the ratio of two abelian integrals. Zbl 1283.34026
Liu, Changjian; Xiao, Dongmei
15
2013
Travelling wave solutions in a non-local and time-delayed reaction-diffusion model. Zbl 1282.35388
Wu, Chufen; Xiao, Dongmei
11
2013
The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. Zbl 1270.34058
Wang, Na; Wang, Jihua; Xiao, Dongmei
9
2013
The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. Zbl 1270.34057
Wang, Jihua; Xiao, Dongmei; Han, Maoan
4
2013
Nonlinear dynamics of a mathematical model on action potential duration and calcium transient in paced cardiac cells. Zbl 1305.92030
Ma, Jiying; Xiao, Dongmei
2
2013
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
26
2012
On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle. Zbl 1217.34051
Wang, Jihua; Xiao, Dongmei
39
2011
The within-host dynamics of malaria infection with immune response. Zbl 1259.34027
Li, Yilong; Ruan, Shigui; Xiao, Dongmei
16
2011
Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models. Zbl 1187.34121
Yang, Yu; Xiao, Dongmei
25
2010
Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system. Zbl 1183.92086
Wang, Ruiping; Xiao, Dongmei
15
2010
A mathematical model with delays for schistosomiasis japonicum transmission. Zbl 1213.34103
Yang, Yu; Xiao, Dongmei
8
2010
An intra-host mathematical model on interaction between HIV and malaria. Zbl 1202.92053
Xiao, Dongmei; Bossert, William H.
3
2010
On existence of multiple positive solutions for \(\phi\)-Laplacian multipoint boundary value. Zbl 1173.34315
Yang, Yu; Xiao, Dongmei
7
2009
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
80
2008
On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. Zbl 1155.34026
Zang, Hong; Han, Maoan; Xiao, Dongmei
26
2008
Bifurcations on a five-parameter family of planar vector field. Zbl 1163.34024
Xiao, Dongmei
23
2008
On the existence and uniqueness of limit cycles for generalized Liénard systems. Zbl 1143.34020
Xiao, Dongmei; Zhang, Zhifen
17
2008
Errata to “The asymptotic speed of spread and traveling waves for a vector disease model”. Zbl 1168.45302
Zhao, Xiao-Qiang; Xiao, Dongmei
5
2008
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
257
2007
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
182
2007
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
94
2007
Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action. Zbl 1195.92058
Zhou, Yugui; Xiao, Dongmei; Li, Yilong
25
2007
Multiple bifurcations of a predator-prey system. Zbl 1142.34032
Xiao, Dongmei; Zhang, Kate Fang
19
2007
Dynamics in a ratio-dependent predator–prey model with predator harvesting. Zbl 1122.34035
Xiao, Dongmei; Li, Wenxia; Han, Maoan
102
2006
Multiple focus and Hopf bifurcations in a predator-prey system with nonmonotonic functional response. Zbl 1109.34034
Xiao, Dongmei; Zhu, Huaiping
49
2006
The asymptotic speed of spread and traveling waves for a vector disease model. Zbl 1114.45001
Zhao, Xiao-Qiang; Xiao, Dongmei
40
2006
Bifurcations in a discrete time Lotka-Volterra predator-prey system. Zbl 1100.37054
Liu, Xiaoli; Xiao, Dongmei
24
2006
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Zbl 1112.34062
Yuan, Sanling; Xiao, Dongmei; Han, Maoan
11
2006
Qualitative analysis of an epidemic model. Zbl 1134.92032
Xiao, Dongmei; Zhou, Yugui
11
2006
Persistence and average persistence of a nonautonomous Kolmogorov system. Zbl 1154.92039
Han, Xinli; Teng, Zhidong; Xiao, Dongmei
6
2006
A DNA procedure for solving the shortest path problem. Zbl 1112.90090
Wang, Zhaocai; Xiao, Dongmei; Li, Wenxia; He, Lin
4
2006
DNA ternary addition. Zbl 1113.68053
Li, Wenxia; Xiao, Dongmei; He, Lin
4
2006
Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. Zbl 1094.34024
Xiao, Dongmei; Jennings, Leslie Stephen
129
2005
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
90
2004
Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response. Zbl 1062.92070
Huang, Jicai; Xiao, Dongmei
60
2004
Bifurcation of limit cycles and separatrix loops in singular Liénard systems. Zbl 1048.34082
Han, Maoan; Bi, Ping; Xiao, Dongmei
13
2004
Relaxation oscillations in a class of predator-prey systems. Zbl 1094.34025
Liu, Weishi; Xiao, Dongmei; Yi, Yingfei
52
2003
On the uniqueness and nonexistence of limit cycles for predator-prey systems. Zbl 1042.34060
Xiao, Dongmei; Zhang, Zhifeng
52
2003
Stability and bifurcation in a delayed ratio-dependent predator-prey system. Zbl 1041.92028
Xiao, Dongmei; Li, Wenxia
28
2003
Non-differentiability of devil’s staircases and dimensions of subsets of Moran sets. Zbl 1014.28004
Li, Wenxia; Xiao, Dongmei; Dekking, F. M.
2
2002
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
307
2001
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
163
2001
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
35
2001
Limit cycles for the competitive three dimensional Lotka-Volterra system. Zbl 0960.34022
Xiao, Dongmei; Li, Wenxia
55
2000
Dimensions of subsets of a class of Cantor-type sets. Zbl 1008.28009
Li, Wenxia; Xiao, Dongmei
2
2000
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
93
1999
Intersection of translations of Cantor triadic set. Zbl 0930.28007
Li, Wenxia; Xiao, Dongmei
5
1999
Hopf bifurcation in a diffusive predator-prey model with group defence. Zbl 0986.92038
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
1
1998
Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Zbl 0855.34048
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen
1
1996
Corrections: On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0847.15008
Koltracht, I.; Neumann, M.; Xiao, D.
1
1995
Condition and accuracy of algorithms for computing Schur coefficients of Toeplitz matrices. Zbl 0807.65042
Gohberg, I.; Koltracht, I.; Xiao, D.
1
1994
On accurate computations of the Perron root. Zbl 0774.65016
Elsner, L.; Koltracht, I.; Neumann, M.; Xiao, D.
9
1993
On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0802.15009
Koltracht, I.; Neumann, M.; Xiao, D.
3
1993
Generation of heteroclinic cycles from a heteroclinic cycle by bifurcation. Zbl 0782.34043
Feng, Beiye; Xiao, Dongmei
3
1992
all top 5

Cited by 2,773 Authors

48 Xiao, Dongmei
40 Ruan, Shigui
31 Han, Maoan
30 Teng, Zhi-dong
29 Huang, Jicai
29 Li, Wan-Tong
20 Wang, Weiming
20 Yuan, Sanling
19 Llibre, Jaume
18 Chen, Hebai
18 Din, Qamar
17 Ma, Wen-Xiu
17 Song, Yongli
17 Sun, Xianbo
16 Jiang, Daqing
15 Banerjee, Malay
15 Jiang, Jifa
15 Kar, Tapan Kumar
15 Nie, Hua
15 Samanta, Guru Prasad
15 Yu, Pei
15 Yuan, Rong
15 Zhao, Xiao-Qiang
14 González-Olivares, Eduardo
14 Wang, Hao
13 Chen, Lansun
13 Chen, Shanshan
13 Huo, Hai-Feng
13 Jin, Zhen
13 Liu, Changjian
13 Shi, Junping
13 Wang, Wendi
13 Xia, Yonghui
12 Tang, De
12 Wang, Zhi Cheng
12 Wu, Chufen
12 Wu, Jianhua
12 Zhao, Liqin
11 Bairagi, Nandadulal
11 Cai, Yongli
11 Chen, Boshan
11 Chen, Yuming
11 Fan, Yonghong
11 Niu, Lei
11 Rojas-Palma, Alejandro
11 Tang, Yilei
11 Tripathi, Jai Prakash
11 Wang, Lin
11 Weng, Peixuan
11 Xu, Zhaoquan
11 Yang, Yu
11 Zhang, Long
11 Zhang, Tonghua
10 Asheghi, Rasoul
10 Baek, Hunki
10 Elsadany, Abdelalim A.
10 Guo, Shangjiang
10 Huang, Lihong
10 Jiang, Weihua
10 Liu, Zhihua
10 Wei, Junjie
10 Yang, Junmin
10 Zhao, Min
10 Zhu, Huaiping
10 Zou, Xingfu
9 Chen, Fengde
9 Chen, Xingwu
9 Dai, Binxiang
9 Khan, Abdul Qadeer
9 Lin, Zhigui
9 Wang, Mingxin
9 Wu, Shiliang
9 Yan, Ping
9 Zhao, Hongyong
8 Abbas, Syed
8 Bai, Zhenguo
8 Ding, Xiaoquan
8 Du, Zengji
8 Feng, Zhaosheng
8 Ghosh, Uttam
8 Gyllenberg, Mats
8 Kazemi, Rasool
8 Lou, Yuan
8 Lu, Min
8 Maiti, Alakes
8 Ren, Jingli
8 Sun, Guiquan
8 Wang, Jinfeng
8 Wang, Linlin
8 Wei, Chunjin
8 Zhang, Qingling
8 Zhou, Peng
7 Chen, Qiaoling
7 Dai, Yanfei
7 Guin, Lakshmi Narayan
7 Guo, Zhiming
7 Hayat, Tasawar
7 Hu, Zengyun
7 Kang, Yun
7 Liu, Sanyang
...and 2,673 more Authors
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Cited in 215 Serials

121 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
106 Journal of Differential Equations
101 Nonlinear Analysis. Real World Applications
97 Discrete and Continuous Dynamical Systems. Series B
95 Applied Mathematics and Computation
92 Chaos, Solitons and Fractals
81 Journal of Mathematical Analysis and Applications
76 Advances in Difference Equations
68 International Journal of Biomathematics
63 Nonlinear Dynamics
56 Discrete Dynamics in Nature and Society
52 Qualitative Theory of Dynamical Systems
50 Communications in Nonlinear Science and Numerical Simulation
49 Journal of Mathematical Biology
46 Mathematical Biosciences and Engineering
36 Mathematical Methods in the Applied Sciences
36 Applied Mathematical Modelling
34 Abstract and Applied Analysis
29 Mathematical Biosciences
29 Mathematics and Computers in Simulation
28 Journal of Dynamics and Differential Equations
28 Journal of Biological Systems
27 Computers & Mathematics with Applications
25 Journal of Applied Mathematics and Computing
24 Applied Mathematics Letters
24 Journal of Applied Analysis and Computation
22 Physica A
21 Bulletin of Mathematical Biology
21 Journal of Biological Dynamics
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Journal of Computational and Applied Mathematics
17 Journal of Theoretical Biology
15 Acta Applicandae Mathematicae
14 Journal of the Franklin Institute
14 Journal of Difference Equations and Applications
14 Differential Equations and Dynamical Systems
13 Complexity
13 Mathematical Problems in Engineering
13 Discrete and Continuous Dynamical Systems. Series S
12 Journal of Nonlinear Science
12 Communications on Pure and Applied Analysis
11 Applicable Analysis
11 Boundary Value Problems
10 Proceedings of the American Mathematical Society
10 Computational and Applied Mathematics
10 Discrete and Continuous Dynamical Systems
9 Acta Mathematicae Applicatae Sinica. English Series
9 Chaos
9 Journal of Dynamical and Control Systems
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 SIAM Journal on Applied Dynamical Systems
9 Mathematical Modelling of Natural Phenomena
8 Nonlinearity
8 Physica D
8 Bulletin des Sciences Mathématiques
8 International Journal of Applied and Computational Mathematics
7 Mathematical and Computer Modelling
7 Calculus of Variations and Partial Differential Equations
7 International Journal of Nonlinear Sciences and Numerical Simulation
7 Nonlinear Analysis. Modelling and Control
7 Electronic Research Archive
6 SIAM Journal on Applied Mathematics
6 Electronic Journal of Differential Equations (EJDE)
6 Journal of Applied Mathematics
6 Journal of Mathematics
6 Journal of Applied Nonlinear Dynamics
5 Studies in Applied Mathematics
5 SIAM Journal on Mathematical Analysis
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Nonlinear Analysis. Hybrid Systems
5 Open Mathematics
4 Journal of Functional Analysis
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Transactions of the American Mathematical Society
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Journal of Inequalities and Applications
4 Mathematical Modelling and Analysis
4 Dynamical Systems
4 Applications and Applied Mathematics
4 Computational & Mathematical Methods in Medicine
4 Discontinuity, Nonlinearity, and Complexity
4 Computational Methods for Differential Equations
3 Journal of Geometry and Physics
3 International Journal of Mathematics and Mathematical Sciences
3 Theoretical Population Biology
3 Chinese Annals of Mathematics. Series B
3 European Journal of Applied Mathematics
3 Fractals
3 Filomat
3 Acta Mathematica Sinica. English Series
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Communications in Theoretical Physics
3 Advances in Mathematical Physics
3 Journal of Function Spaces
3 Mathematics in Applied Sciences and Engineering
2 International Journal of Modern Physics B
2 Journal of Mathematical Physics
2 Reports on Mathematical Physics
2 Rocky Mountain Journal of Mathematics
...and 115 more Serials
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Cited in 42 Fields

1,704 Biology and other natural sciences (92-XX)
1,186 Ordinary differential equations (34-XX)
574 Partial differential equations (35-XX)
545 Dynamical systems and ergodic theory (37-XX)
132 Difference and functional equations (39-XX)
84 Probability theory and stochastic processes (60-XX)
71 Systems theory; control (93-XX)
70 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
63 Numerical analysis (65-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
36 Operator theory (47-XX)
19 Integral equations (45-XX)
17 Mechanics of particles and systems (70-XX)
15 Real functions (26-XX)
12 Operations research, mathematical programming (90-XX)
7 Measure and integration (28-XX)
6 Computer science (68-XX)
5 Combinatorics (05-XX)
5 Algebraic geometry (14-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Fluid mechanics (76-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Quantum theory (81-XX)
3 Integral transforms, operational calculus (44-XX)
3 Mechanics of deformable solids (74-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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