Shigui Ruan

ORCID: 0000-0002-6348-8205
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About
Contact & Profiles
Research Areas
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Evolution and Genetic Dynamics
  • COVID-19 epidemiological studies
  • Nonlinear Differential Equations Analysis
  • Mathematical Biology Tumor Growth
  • Nonlinear Dynamics and Pattern Formation
  • Viral Infections and Vectors
  • Fractional Differential Equations Solutions
  • Stability and Controllability of Differential Equations
  • Evolutionary Game Theory and Cooperation
  • Advanced Mathematical Modeling in Engineering
  • Advanced Differential Equations and Dynamical Systems
  • Differential Equations and Numerical Methods
  • Mosquito-borne diseases and control
  • Ecosystem dynamics and resilience
  • Rabies epidemiology and control
  • Stochastic processes and statistical mechanics
  • Virology and Viral Diseases
  • Antimicrobial Resistance in Staphylococcus
  • Neural Networks Stability and Synchronization
  • Viral Infections and Outbreaks Research
  • Clostridium difficile and Clostridium perfringens research
  • Numerical methods for differential equations
  • Gene Regulatory Network Analysis
  • Animal Disease Management and Epidemiology

University of Miami
2016-2025

Minzu University of China
2023

Sylvester Comprehensive Cancer Center
2018-2022

Case Western Reserve University
2020

Central China Normal University
1991-2019

Hubei University of Science and Technology
2016

Centre National de la Recherche Scientifique
2015

Northeast Normal University
2015

University of Wisconsin–Milwaukee
2015

Institut de Mathématiques de Bordeaux
2015

10.1016/s0022-0396(02)00089-x article EN Journal of Differential Equations 2003-01-30

A predator-prey system with nonmonotonic functional response is considered. Global qualitative and bifurcation analyses are combined to determine the global dynamics of model. The analysis model depending on all parameters indicates that it exhibits numerous kinds phenomena, including saddle-node bifurcation, supercritical subcritical Hopf bifurcations, homoclinic bifurcation. It shown there different parameter values for which has a limit cycle or loop, so-called paradox enrichment...

10.1137/s0036139999361896 article EN SIAM Journal on Applied Mathematics 2001-01-01

The ongoing Zika virus (ZIKV) epidemic poses a major global public health emergency. It is known that ZIKV spread by \textit{Aedes} mosquitoes, recent studies show can also be transmitted via sexual contact and cases of sexually have been confirmed in the U.S., France, Italy. How transmission affects control infection not well-understood. We presented mathematical model to investigate impact mosquito-borne on used fit data Brazil, Colombia, El Salvador. Based estimated parameter values, we...

10.1038/srep28070 article EN cc-by Scientific Reports 2016-06-17

10.1016/s0167-2789(99)00009-3 article EN Physica D Nonlinear Phenomena 1999-06-01

10.1007/bf02218848 article EN Journal of Dynamics and Differential Equations 1994-10-01

10.1007/s002850100097 article EN Journal of Mathematical Biology 2001-09-01

10.1016/j.jmaa.2003.11.043 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2004-01-17

10.1007/s002850100095 article EN Journal of Mathematical Biology 2001-09-01

Methicillin-resistant Staphylococcus aureus (MRSA) has traditionally been associated with infections in hospitals. Recently, a new strain of MRSA emerged and rapidly spread the community, causing serious among young, healthy individuals. Preliminary reports imply that particular clone (USA300) community-acquired (CA-MRSA) is infiltrating hospitals replacing traditional hospital-acquired strains. If true, this event would have consequences, because CA-MRSA occur more debilitated, older...

10.1086/595844 article EN Clinical Infectious Diseases 2009-01-05

10.1016/j.jtbi.2003.11.014 article EN Journal of Theoretical Biology 2003-12-16

This paper is concerned with the existence of travelling wave solutions in a class delayed reaction–diffusion systems without monotonicity, which concludes two-species diffusion–competition models delays. Previous methods do not apply solving these problems because reaction terms satisfy either so-called quasimonotonicity condition or non-quasimonotonicity condition. By using Schauder's fixed point theorem, new cross-iteration scheme given to establish solutions. More precisely, by such...

10.1088/0951-7715/19/6/003 article EN Nonlinearity 2006-05-15

10.1007/s10884-008-9103-8 article EN Journal of Dynamics and Differential Equations 2008-03-10

10.1007/s11538-007-9292-z article EN Bulletin of Mathematical Biology 2008-01-29
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