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

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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