S. Ruan

发表

Stability and Bifurcation in Delay–Differential Equations with Two Delays

Xiangao Li, S. Ruan, Junjie Wei, 1999 .

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

S. Ruan, Junjie Wei, 2003 .

Predator-prey models with delay and prey harvesting

S. Ruan, Annika K. Martin, 2001, Journal of mathematical biology.

Computing the heteroclinic bifurcation curves in predator–prey systems with ratio-dependent functional response

Yilei Tang, Weinian Zhang, Shigui Ruan, 2008, Journal of mathematical biology.

Relaxation Oscillations Across Turning Points with Applications to Rapid Evolution

S. Ruan, Ting-Hao Hsu, 2019 .

Periodic solutions of planar systems with two delays

S. Ruan, Junjie Wei, 1999, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Stability and bifurcation in a neural network model with two delays

S. Ruan, Junjie Wei, 1999 .

Absolute stability, conditional stability and bifurcation in Kolmogrov-type predator-prey systems with discrete delays

S. Ruan, 2001 .

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

S. Ruan, Junjie Wei, J. Wei, 2001, IMA journal of mathematics applied in medicine and biology.

Oscillations of Second Order Neutral Differential Equations

Shigui Ruan, S. Ruan, 1993, Canadian Mathematical Bulletin.

Qualitative Analysis of a Neural Network Model withMultiple Time

S. Ruan, Junjie Wei, DelaysSue Ann Campbell, 2007 .

Kamenev type theorems for second-order matrix differential systems

Qingkai Kong, Qingkai Kong, S. Ruan, 1993 .

OSCILLATIONS OF N T H - O R D E R F U N C T I O N A L DIFFERENTIAL EQUATIONS

S. Ruan, 2002 .

Comparison Theorems of Liapunov-Razumikhin Type for NFDEs With Infinite Delay

Jianhong Wu, Shigui Ruan, J. R. Haddock, 1995, Canadian Journal of Mathematics.

Mathematical Medicine and Biology

Samrat Chatterjee, Joydev Chattopadhyay, Chris Cosner, 2008 .

DIFFUSION‐DRIVEN INSTABILITY IN THE GIERER‐MEINHARDT MODEL OF MORPHOGENESIS

Shigui Ruan, S. Ruan, 1998 .

Global stability in chemostat-type plankton models with delayed nutrient recycling

Xue-Zhong He, Shigui Ruan, Xuezhong He, 1998 .

Bifurcation Analysis of a Dynamical Model for the Innate Immune Response to Initial Pulmonary Infections

S. Ruan, Jicai Huang, Jing Wen, 2020, Int. J. Bifurc. Chaos.

Stability and Hopf bifurcation of a tumor-immune system interaction model with an immune checkpoint inhibitor

Y. Kuang, S. Ruan, Jicai Huang, 2022, Commun. Nonlinear Sci. Numer. Simul..

Propagation dynamics in periodic predator-prey systems with nonlocal dispersal

S. Ruan, Liyan Pang, Shiliang Wu, 2022, Journal de Mathématiques Pures et Appliquées.

Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior

Gail S. K. Wolkowicz, Shigui Ruan, Huaxing Xia, 1997, SIAM J. Appl. Math..

Qualitative analysis of a neural network model with multiple time delays

Junjie Wei, Sue Ann Campbell, Shigui Ruan, 1999 .

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

S. Ruan, R. Culshaw, S Ruan, 2000, Mathematical biosciences.

Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models

Ping Bi, Shigui Ruan, S. Ruan, 2013, SIAM J. Appl. Dyn. Syst..

Oscillations in plankton models with nutrient recycling.

S. Ruan, S Ruan, 2001, Journal of theoretical biology.

On a Network Model of Two Competitors With Applications to the Invasion and Competition of Aedes Albopictus and Aedes Aegypti Mosquitoes in the United States

Canrong Tian, Shigui Ruan, Zuhan Liu, 2020, SIAM J. Appl. Math..

Global dynamics of a ratio-dependent predator-prey system

Dongmei Xiao, Shigui Ruan, S. Ruan, 2001, Journal of mathematical biology.

Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response

Shigui Ruan, Dongmei Xiao, S. Ruan, 2001, SIAM J. Appl. Math..

also used this function in a mite predator – prey interaction model and called it a Holling type-IV function

S. Ruan, Dongmei Xiao, Jicai Huang, 2018 .

Uniform Persistence in Functional Differential Equations

H. I. Freedman, Shigui Ruan, S. Ruan, 1995 .

Connective stability of discontinuous large scale systems

Shigui Ruan, S. Ruan, 1991 .

Persistence in three-species food chain models with group defense.

H. I. Freedman, S. Ruan, H I Freedman, 1991, Mathematical biosciences.

Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting

S. Ruan, Jianshe Yu, Xiaomei Feng, 2023, Journal of Differential Equations.

Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting

Xinan Zhang, Jicai Huang, Shigui Ruan, 2016 .

Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting

Jing Chen, Jihua Wang, Shigui Ruan, 2013, SIAM J. Appl. Math..

The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response

Zhihua Liu, Jing Xia, Rong Yuan, 2009, SIAM J. Appl. Math..

Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network

Canrong Tian, Shigui Ruan, S. Ruan, 2019, SIAM J. Appl. Dyn. Syst..

Author's Personal Copy Journal of Differential Equations Versal Unfoldings of Predator–prey Systems with Ratio-dependent Functional Response

Yilei Tang, Weinian Zhang, Shigui Ruan, 2010 .

Codimension Two bifurcations in a predator-prey System with Group Defense

Shigui Ruan, Dongmei Xiao, S. Ruan, 2001, Int. J. Bifurc. Chaos.

Asymptotic stability for Volterra intergrodifferential systems

S. Ruan, 1992 .

Multiple Bifurcations in a Delayed Predator–prey System with Nonmonotonic Functional Response

Dongmei Xiao, Shigui Ruan, S. Ruan, 2022 .

Hopf bifurcation in three-species food chain models with group defense.

H. I. Freedman, S. Ruan, H I Freedman, 1992, Mathematical biosciences.

Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems

Ting-Hao Hsu, Shigui Ruan, S. Ruan, 2019, SIAM J. Math. Anal..

Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling

Shigui Ruan, S. Ruan, 1993 .

Bifurcation Analysis of a Chemostat Model with a Distributed Delay

Gail S. K. Wolkowicz, Shigui Ruan, S. Ruan, 1996 .

Instability in Diffusive Ecological Models with Nonlocal Delay Effects

Khalid Boushaba, Shigui Ruan, S. Ruan, 2001 .

Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling

Shigui Ruan, S. Ruan, 1998 .

Global Stability in Chemostat-Type Equations with Distributed Delays

Huaxing Xia, Xue-Zhong He, Shigui Ruan, 1998 .

Differential Equations with Applications to Biology

Gail S. K. Wolkowicz, Jianhong Wu, Shigui Ruan, 1998 .

Global Stability in Chemostat-Type Competition Models with Nutrient Recycling

Shigui Ruan, Xue-Zhong He, S. Ruan, 1998, SIAM J. Appl. Math..

Spatio-temporal delays in a nutrient-plankton model on a finite domain: linear stability and bifurcations

Shigui Ruan, Stephen A. Gourley, S. Ruan, 2003, Appl. Math. Comput..

Dynamics of the diffusive Nicholson's blowflies equation with distributed delay

Stephen A. Gourley, Shigui Ruan, S. Ruan, 2000, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Oscillation with respect to partial variables of linear second-order differential systems

S. Ruan, Z. Deng, 1991 .

Spatiotemporal Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Ratio-Dependent Functional Response

Ying Su, Hongbo Shi, Shigui Ruan, 2015, Int. J. Bifurc. Chaos.

Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes

Pei Yu, Shigui Ruan, Yuyue Zhang, 2019, SIAM J. Appl. Dyn. Syst..

REACTION-DIFFUSION EQUATIONS WITH INFINITE DELAY

S. Ruan, 2005 .

Spatiotemporal dynamics in epidemic models with Lévy flights: A fractional diffusion approach

S. Ruan, Guangyu Zhao, 2023, Journal de Mathématiques Pures et Appliquées.

Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting

S. Ruan, Jicai Huang, Xinan Zhang, 2016 .