Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior. - Gail S. K. Wolkowicz; Huaxing Xia; Shigui Ruan (SIAM J. Appl. Math., 1997)

Global Stability in Chemostat-Type Competition Models with Nutrient Recycling. - Shigui Ruan; Xue-Zhong He (SIAM J. Appl. Math., 1998)

Codimension Two bifurcations in a predator-prey System with Group Defense. - Dongmei Xiao; Shigui Ruan (Int. J. Bifurc. Chaos, 2001)

Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response. - Dongmei Xiao; Shigui Ruan (SIAM J. Appl. Math., 2001)

Spatio-temporal delays in a nutrient-plankton model on a finite domain: linear stability and bifurcations. - Stephen A. Gourley; Shigui Ruan (Appl. Math. Comput., 2003)

Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model. - Stephen A. Gourley; Shigui Ruan (SIAM J. Math. Anal., 2003)

A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia. - Mostafa Adimy; Fabien Crauste; Shigui Ruan (SIAM J. Appl. Math., 2005)

Erratum: Global Stability in Chemostat-Type Competition Models with Nutrient Recycling. - Shigui Ruan; Xue-Zhong He (SIAM J. Appl. Math., 2006)

On the Diffusive Nicholson's Blowflies Equation with Nonlocal Delay. - Wan-Tong Li; Shigui Ruan; Zhi-Cheng Wang (J. Nonlinear Sci., 2007)

Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate. - Yilei Tang; Deqing Huang; Shigui Ruan; Weinian Zhang (SIAM J. Appl. Math., 2008)

The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response. - Jing Xia; Zhihua Liu; Rong Yuan; Shigui Ruan (SIAM J. Appl. Math., 2009)

An Age-Structured Model for the Transmission Dynamics of Hepatitis B. - Lan Zou; Shigui Ruan; Weinian Zhang (SIAM J. Appl. Math., 2010)

A Multipatch Malaria Model with Logistic Growth Populations. - Daozhou Gao; Shigui Ruan (SIAM J. Appl. Math., 2012)

Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models. - Ping Bi; Shigui Ruan (SIAM J. Appl. Dyn. Syst., 2013)

Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting. - Jing Chen; Jicai Huang; Shigui Ruan; Jihua Wang (SIAM J. Appl. Math., 2013)

Transmission dynamics and optimal control of measles epidemics. - Liuyong Pang; Shigui Ruan; Sanhong Liu; Zhong Zhao; Xinan Zhang (Appl. Math. Comput., 2015)

Global Dynamics of Avian Influenza Epidemic Models with Psychological Effect. - Sanhong Liu; Liuyong Pang; Shigui Ruan; Xinan Zhang (Comput. Math. Methods Medicine, 2015)

Spatiotemporal Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Ratio-Dependent Functional Response. - Hongbo Shi; Shigui Ruan; Ying Su; Jia-Fang Zhang (Int. J. Bifurc. Chaos, 2015)

On avian influenza epidemic models with time delay. - Sanhong Liu; Shigui Ruan; Xinan Zhang (Theory Biosci., 2015)

Bifurcation of Codimension 3 in a Predator-Prey System of Leslie Type with Simplified Holling Type IV Functional Response. - Jicai Huang; Xiaojing Xia; Xinan Zhang; Shigui Ruan (Int. J. Bifurc. Chaos, 2016)

Modeling and Analysis of a Nonlinear Age-Structured Model for Tumor Cell Populations with Quiescence. - Zijian Liu 001; Jing Chen 031; Jianhua Pang; Ping Bi; Shigui Ruan (J. Nonlinear Sci., 2018)

Spatial and Temporal Dynamics of a Nonlocal Viral Infection Model. - Guangyu Zhao; Shigui Ruan (SIAM J. Appl. Math., 2018)

Seasonal transmission dynamics of measles in China. - Jicai Huang; Shigui Ruan; Xiao Wu; Xuelei Zhou (Theory Biosci., 2018)

Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes. - Jicai Huang; Shigui Ruan; Pei Yu; Yuyue Zhang (SIAM J. Appl. Dyn. Syst., 2019)

Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network. - Canrong Tian; Shigui Ruan (SIAM J. Appl. Dyn. Syst., 2019)

Stability transition of persistence and extinction in an avian influenza model with Allee effect and stochasticity. - Yu Liu; Shigui Ruan; Ling Yang (Commun. Nonlinear Sci. Numer. Simul., 2020)

Bifurcation Analysis of a Dynamical Model for the Innate Immune Response to Initial Pulmonary Infections. - Shujing Shi; Jicai Huang; Jing Wen; Shigui Ruan (Int. J. Bifurc. Chaos, 2020)

Nonlinear Physiologically Structured Population Models with Two Internal Variables. - Hao Kang; Xi Huo; Shigui Ruan (J. Nonlinear Sci., 2020)

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. - Zuhan Liu; Canrong Tian; Shigui Ruan (SIAM J. Appl. Math., 2020)

Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems. - Ting-Hao Hsu; Shigui Ruan (SIAM J. Math. Anal., 2021)

On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections. - Gui-Quan Sun; Hong-Tao Zhang; Lili Chang; Zhen Jin 001; Hao Wang 027; Shigui Ruan (SIAM J. Appl. Math., 2022)

Monitoring Land Degradation through Vegetation Dynamics Mathematical Modeling: Case of Jornada Basin (in the U.S.). - Zheng Chen; Jieyu Liu; Zhonghua Qian; Li Li; Zhiseng Zhang; Guolin Feng; Shigui Ruan; Gui-Quan Sun (Remote. Sens., 2023)

Stability and Hopf bifurcation of a tumor-immune system interaction model with an immune checkpoint inhibitor. - Shujing Shi; Jicai Huang; Yang Kuang; Shigui Ruan (Commun. Nonlinear Sci. Numer. Simul., 2023)

Bifurcation Analysis in a Tumor-Immune System Interaction Model with Dendritic Cell Therapy and Immune Response Delay. - Yuyue Zhang; Liqi Xie; Yueping Dong; Jicai Huang; Shigui Ruan; Yasuhiro Takeuchi (SIAM J. Appl. Math., 2023)

Principal Spectral Theory of Time-Periodic Nonlocal Dispersal Cooperative Systems and Applications. - Yan-Xia Feng; Wan-Tong Li; Shigui Ruan; Ming-Zhen Xin (SIAM J. Math. Anal., 2024)

Modeling the p53-Mdm2 Dynamics Triggered by DNA Damage. - Zirui Zhu; Yancong Xu; Xingbo Liu; Shigui Ruan (J. Nonlinear Sci., 2024)

Modeling the Interaction of Cytotoxic T-Lymphocytes and Oncolytic Viruses in a Tumor Microenvironment. - Yan Zhao; Qi Deng; Zhipeng Qiu; Ting Guo; Shigui Ruan (SIAM J. Appl. Math., 2025)

Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks. - Canrong Tian; Zuhan Liu; Shigui Ruan (J. Nonlinear Sci., 2025)