World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
80
Citations
23345
World Ranking
148
National Ranking
85

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.

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: 82 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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 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.

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.

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: 137 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.

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

Wan-Tong Li
Wan-Tong Li Lanzhou University
John C. Beier
John C. Beier University of Miami
Tao Zhou
Tao Zhou University of Electronic Science and Technology of China
Zhidong Teng
Zhidong Teng Xinjiang University
Pei Yu
Pei Yu University of Western Ontario
Sze-Bi Hsu
Sze-Bi Hsu National Tsing Hua University
Robert C. Moellering
Robert C. Moellering Beth Israel Deaconess Medical Center
Gerardo Chowell
Gerardo Chowell Georgia State University
Suzanne Lenhart
Suzanne Lenhart University of Tennessee at Knoxville
Christopher N. Bowman
Christopher N. Bowman University of Colorado Boulder

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