World's Best Scientists 2026 revealed!
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Shigui Ruan
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Mathematics
USA
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 80 148 122 86 68 266 23345

Shigui Ruan publications per year

The chart shows the history of publications by Shigui Ruan between 1991 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Shigui Ruan published across 35 years, from 1991 to 2025, averaging 9.1 papers a year. Output peaked at 21 publications in 2015. 28 of the 320 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1991 to 2025. Vertical axis: number of publications, 0 to 21. Peak 21 publications in 2015. 1991: 3 publications 1992: 2 publications 1993: 2 publications 1994: 1 publication 1995: 4 publications 1996: 2 publications 1997: 1 publication 1998: 5 publications 1999: 5 publications 2000: 3 publications 2001: 8 publications 2002: 0 publications 2003: 8 publications 2004: 9 publications 2005: 7 publications 2006: 7 publications 2007: 9 publications 2008: 12 publications 2009: 9 publications 2010: 16 publications 2011: 11 publications 2012: 15 publications 2013: 10 publications 2014: 9 publications 2015: 21 publications 2016: 11 publications 2017: 13 publications 2018: 19 publications 2019: 11 publications 2020: 20 publications 2021: 18 publications 2022: 10 publications 2023: 11 publications 2024: 16 publications 2025: 12 publications
1991 2025

320 publications in total across all disciplines

View publications per year as a table
Shigui Ruan: publications per year, 1991 to 2025
Year Publications
1991 3
1992 2
1993 2
1994 1
1995 4
1996 2
1997 1
1998 5
1999 5
2000 3
2001 8
2002 0
2003 8
2004 9
2005 7
2006 7
2007 9
2008 12
2009 9
2010 16
2011 11
2012 15
2013 10
2014 9
2015 21
2016 11
2017 13
2018 19
2019 11
2020 20
2021 18
2022 10
2023 11
2024 16
2025 12
Total 320
Download as CSV

Shigui Ruan publications per year - data summary

  • Shigui Ruan, a Mathematics scholar from University of Miami, has 320 publications recorded across 35 years, from 1991 to 2025.
  • The oldest publication on record dates to 1991 and the most recent to 2025.
  • The most productive year is 2015, with 21 publications.
  • The least productive years with any output are 1994 and 1997, with 1 publication each.
  • 1 of the 35 years in the span carries no publications at all (2002).
  • The rate of publication averages 9.1 papers per year over the whole span, or 9.4 per year counting only the 34 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 67 publications, 21% of the career total.
  • Split into equal eras - 1991-2002: 36 publications (3.0 per year); 2003-2014: 122 publications (10.2 per year); 2015-2025: 162 publications (14.7 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Shigui Ruan publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Shigui Ruan sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 262–266 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 266 publications — 80th percentile

80% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30 266
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Shigui Ruan publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Shigui Ruan, a Mathematics scholar from University of Miami, records 266 publications - the 80th percentile of the discipline.
  • 80% of ranked Mathematics scientists score the same or lower than Shigui Ruan, and about 20% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Shigui Ruan ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Shigui Ruan D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Shigui Ruan sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 80 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 80 D-Index — 96th percentile

96% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12 80
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Shigui Ruan D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Shigui Ruan, a Mathematics scholar from University of Miami, records 80 D-Index - the 96th percentile of the discipline.
  • 96% of ranked Mathematics scientists score the same or lower than Shigui Ruan, and about 4% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Shigui Ruan ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award

Overview

Shigui Ruan is affiliated with the University of Miami in the United States and has an extensive research portfolio spanning the fields of Medicine and Mathematics. Their work encompasses several subfields, notably Public Health, Environmental and Occupational Health, Modeling and Simulation, Genetics, Applied Mathematics, and Global and Planetary Change.

The research topics covered by Ruan include Mathematical and Theoretical Epidemiology and Ecology Models, Evolution and Genetic Dynamics, COVID-19 epidemiological studies, Mathematical Biology Tumor Growth, Fractional Differential Equations Solutions, Nonlinear Differential Equations Analysis, and Nonlinear Dynamics and Pattern Formation.

Ruan's recent scholarly contributions include the following papers:

  • Likelihood of survival of coronavirus disease 2019, 2020, The Lancet Infectious Diseases
  • Estimating asymptomatic, undetected and total cases for the COVID-19 outbreak in Wuhan: a mathematical modeling study, 2021, BMC Infectious Diseases
  • On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections, 2022, SIAM Journal on Applied Mathematics
  • Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion, 2021, Journal of Mathematical Biology
  • Propagation dynamics in periodic predator-prey systems with nonlocal dispersal, 2022, Journal de Mathématiques Pures et Appliquées

Frequent co-authors who have collaborated with Ruan on multiple publications include:

  • Jicai Huang (12 coauthored works)
  • Hao Kang (10 coauthored works)
  • Xi Huo (8 coauthored works)
  • Arnaud Ducrot (5 coauthored works)
  • Min Lü (4 coauthored works)

Ruan publishes regularly in several academic journals, with multiple papers appearing in:

  • Journal of Mathematical Biology (8 publications)
  • Journal of Differential Equations (6 publications)
  • SIAM Journal on Applied Mathematics (4 publications)
  • Discrete and Continuous Dynamical Systems - B (4 publications)
  • arXiv (Cornell University) (4 publications)

In addition to journal articles, Ruan has contributed to book publications, including a work released by World Scientific titled Contemporary Research in Mathematical Biology in 2021, which has been cited in later studies.

Best Publications

  • On the zeros of transcendental functions with applications to stability of delay differential equations with two delays

    Shigui Ruan;Junjie Wei

  • A delay-differential equation model of HIV infection of CD4(+) T-cells.

    Rebecca V. Culshaw;Shigui Ruan

  • Dynamical behavior of an epidemic model with a nonlinear incidence rate

    Shigui Ruan;Wendi Wang

  • GLOBAL ANALYSIS IN A PREDATOR-PREY SYSTEM WITH NONMONOTONIC FUNCTIONAL RESPONSE ∗

    Dongmei Xiao;Shigui Ruan

  • Global analysis of an epidemic model with nonmonotone incidence rate.

    Dongmei Xiao;Shigui Ruan

  • Modelling strategies for controlling SARS outbreaks

    Abba B. Gumel;Shigui Ruan;Troy Day;James Watmough

  • Stability and bifurcation in a neural network model with two delays

    Junjie Wei;Shigui Ruan

  • Uniform persistence and flows near a closed positively invariant set

    H. I. Freedman;Shigui Ruan;Moxun Tang

  • Prevention and Control of Zika as a Mosquito-Borne and Sexually Transmitted Disease: A Mathematical Modeling Analysis.

    Daozhou Gao;Yijun Lou;Daihai He;Travis C. Porco

  • A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay.

    Rebecca V. Culshaw;Shigui Ruan;Glenn Webb

  • Global dynamics of a ratio-dependent predator-prey system.

    Dongmei Xiao;Shigui Ruan

  • Bifurcations in an epidemic model with constant removal rate of the infectives

    Wendi Wang;Shigui Ruan

  • Predator-prey models with delay and prey harvesting.

    Annik Martin;Shigui Ruan

  • Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays

    Zhi Cheng Wang;Wan Tong Li;Shigui Ruan

  • On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion.

    Shigui Ruan;Junjie Wei

  • Optimal HIV treatment by maximising immune response.

    Rebecca V. Culshaw;Shigui Ruan;Raymond J. Spiteri

  • Bifurcations in a predator–prey system of Leslie type with generalized Holling type III functional response☆

    Jicai Huang;Shigui Ruan;Jing Song

  • Modeling the Invasion of Community-Acquired Methicillin-Resistant Staphylococcus aureus into Hospitals

    Erica M. C. D'Agata;Glenn F. Webb;Mary Ann Horn;Mary Ann Horn;Robert C. Moellering

  • The effects of human movement on the persistence of vector-borne diseases.

    C. Cosner;J.C. Beier;R.S. Cantrell;D. Impoinvil

  • DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS

    Shigui Ruan

  • Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems

    Wan Tong Li;Guo Lin;Shigui Ruan

  • Modeling the transmission dynamics and control of Hepatitis B virus in China.

    Lan Zou;Weinian Zhang;Shigui Ruan

Frequent Co-Authors

Pierre Magal
Pierre Magal University of Bordeaux
Wan-Tong Li
Wan-Tong Li Lanzhou University
John C. Beier
John C. Beier University of Miami
Glenn F. Webb
Glenn F. Webb Vanderbilt University
Donald L. DeAngelis
Donald L. DeAngelis United States Geological Survey
Tao Zhou
Tao Zhou University of Electronic Science and Technology of China
Pei Yu
Pei Yu University of Western Ontario
Daihai He
Daihai He Hong Kong Polytechnic University
Zhidong Teng
Zhidong Teng Xinjiang University
Robert C. Moellering
Robert C. Moellering Beth Israel Deaconess Medical Center

External Links

Personal website of Shigui Ruan Google Scholar page

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Best Scientists Citing Shigui Ruan

Jinde Cao

Jinde Cao

Southeast University

Publications: 83

Daqing Jiang

Daqing Jiang

China University of Petroleum, Beijing

Publications: 73

Wan-Tong Li

Wan-Tong Li

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Publications: 69

Zhidong Teng

Zhidong Teng

Xinjiang University

Publications: 51

Tasawar Hayat

Tasawar Hayat

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Publications: 41

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Joydev Chattopadhyay

Indian Statistical Institute

Publications: 39

Ahmed M. Elaiw

Ahmed M. Elaiw

King Abdulaziz University

Publications: 37

Pierre Magal

Pierre Magal

University of Bordeaux

Publications: 36

Xiao-Qiang Zhao

Xiao-Qiang Zhao

Memorial University of Newfoundland

Publications: 33

Xingfu Zou

Xingfu Zou

University of Western Ontario

Publications: 33

Lihong Huang

Lihong Huang

Changsha University of Science and Technology

Publications: 32

Junping Shi

Junping Shi

William & Mary

Publications: 29

David L. Smith

David L. Smith

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Publications: 24

Tonghua Zhang

Tonghua Zhang

Swinburne University of Technology

Publications: 24

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Publications: 23

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Publications: 23

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