Shigui Ruan

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 21

Top Topics

Hopf Bifurcation

Interaction Model

Mathematical Modeling

Top Venues

SIAM J. Appl. Math.

Int. J. Bifurc. Chaos

J. Nonlinear Sci.

Publications

Yan-Xia Feng, Wan-Tong Li, Shigui Ruan, Ming-Zhen Xin
Principal Spectral Theory of Time-Periodic Nonlocal Dispersal Cooperative Systems and Applications. SIAM J. Math. Anal. 56 (3) (2024)
Zirui Zhu, Yancong Xu, Xingbo Liu, Shigui Ruan
Modeling the p53-Mdm2 Dynamics Triggered by DNA Damage. J. Nonlinear Sci. 34 (3) (2024)
Zheng Chen, Jieyu Liu, Zhonghua Qian, Li Li, Zhiseng Zhang, Guolin Feng, Shigui Ruan, Gui-Quan Sun
Monitoring Land Degradation through Vegetation Dynamics Mathematical Modeling: Case of Jornada Basin (in the U.S.). Remote. Sens. 15 (4) (2023)
Shujing Shi, Jicai Huang, Yang Kuang, Shigui Ruan
Stability and Hopf bifurcation of a tumor-immune system interaction model with an immune checkpoint inhibitor. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Yuyue Zhang, Liqi Xie, Yueping Dong, Jicai Huang, Shigui Ruan, Yasuhiro Takeuchi
Bifurcation Analysis in a Tumor-Immune System Interaction Model with Dendritic Cell Therapy and Immune Response Delay. SIAM J. Appl. Math. 83 (5) (2023)
Gui-Quan Sun, Hong-Tao Zhang, Lili Chang, Zhen Jin, Hao Wang, Shigui Ruan
On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections. SIAM J. Appl. Math. 82 (4) (2022)
Ting-Hao Hsu, Shigui Ruan
Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems. SIAM J. Math. Anal. 53 (4) (2021)
Zuhan Liu, Canrong Tian, Shigui Ruan
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. SIAM J. Appl. Math. 80 (2) (2020)
Shujing Shi, Jicai Huang, Jing Wen, Shigui Ruan
Bifurcation Analysis of a Dynamical Model for the Innate Immune Response to Initial Pulmonary Infections. Int. J. Bifurc. Chaos 30 (16) (2020)
Yu Liu, Shigui Ruan, Ling Yang
Stability transition of persistence and extinction in an avian influenza model with Allee effect and stochasticity. Commun. Nonlinear Sci. Numer. Simul. 91 (2020)
Hao Kang, Xi Huo, Shigui Ruan
Nonlinear Physiologically Structured Population Models with Two Internal Variables. J. Nonlinear Sci. 30 (6) (2020)
Canrong Tian, Shigui Ruan
Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network. SIAM J. Appl. Dyn. Syst. 18 (1) (2019)
Jicai Huang, Shigui Ruan, Pei Yu, Yuyue Zhang
Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes. SIAM J. Appl. Dyn. Syst. 18 (2) (2019)
Zijian Liu, Jing Chen, Jianhua Pang, Ping Bi, Shigui Ruan
Modeling and Analysis of a Nonlinear Age-Structured Model for Tumor Cell Populations with Quiescence. J. Nonlinear Sci. 28 (5) (2018)
Jicai Huang, Shigui Ruan, Xiao Wu, Xuelei Zhou
Seasonal transmission dynamics of measles in China. Theory Biosci. 137 (2) (2018)
Guangyu Zhao, Shigui Ruan
Spatial and Temporal Dynamics of a Nonlocal Viral Infection Model. SIAM J. Appl. Math. 78 (4) (2018)
Jicai Huang, Xiaojing Xia, Xinan Zhang, Shigui Ruan
Bifurcation of Codimension 3 in a Predator-Prey System of Leslie Type with Simplified Holling Type IV Functional Response. Int. J. Bifurc. Chaos 26 (2) (2016)
Hongbo Shi, Shigui Ruan, Ying Su, Jia-Fang Zhang
Spatiotemporal Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Ratio-Dependent Functional Response. Int. J. Bifurc. Chaos 25 (5) (2015)
Sanhong Liu, Shigui Ruan, Xinan Zhang
On avian influenza epidemic models with time delay. Theory Biosci. 134 (3-4) (2015)
Sanhong Liu, Liuyong Pang, Shigui Ruan, Xinan Zhang
Global Dynamics of Avian Influenza Epidemic Models with Psychological Effect. Comput. Math. Methods Medicine 2015 (2015)
Liuyong Pang, Shigui Ruan, Sanhong Liu, Zhong Zhao, Xinan Zhang
Transmission dynamics and optimal control of measles epidemics. Appl. Math. Comput. 256 (2015)
Ping Bi, Shigui Ruan
Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models. SIAM J. Appl. Dyn. Syst. 12 (4) (2013)
Jing Chen, Jicai Huang, Shigui Ruan, Jihua Wang
Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting. SIAM J. Appl. Math. 73 (5) (2013)
Daozhou Gao, Shigui Ruan
A Multipatch Malaria Model with Logistic Growth Populations. SIAM J. Appl. Math. 72 (3) (2012)
Lan Zou, Shigui Ruan, Weinian Zhang
An Age-Structured Model for the Transmission Dynamics of Hepatitis B. SIAM J. Appl. Math. 70 (8) (2010)
Jing Xia, Zhihua Liu, Rong Yuan, Shigui Ruan
The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response. SIAM J. Appl. Math. 70 (4) (2009)
Yilei Tang, Deqing Huang, Shigui Ruan, Weinian Zhang
Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate. SIAM J. Appl. Math. 69 (2) (2008)
Wan-Tong Li, Shigui Ruan, Zhi-Cheng Wang
On the Diffusive Nicholson's Blowflies Equation with Nonlocal Delay. J. Nonlinear Sci. 17 (6) (2007)
Shigui Ruan, Xue-Zhong He
Erratum: Global Stability in Chemostat-Type Competition Models with Nutrient Recycling. SIAM J. Appl. Math. 66 (6) (2006)
Mostafa Adimy, Fabien Crauste, Shigui Ruan
A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia. SIAM J. Appl. Math. 65 (4) (2005)
Stephen A. Gourley, Shigui Ruan
Spatio-temporal delays in a nutrient-plankton model on a finite domain: linear stability and bifurcations. Appl. Math. Comput. 145 (2-3) (2003)
Stephen A. Gourley, Shigui Ruan
Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model. SIAM J. Math. Anal. 35 (3) (2003)
Dongmei Xiao, Shigui Ruan
Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response. SIAM J. Appl. Math. 61 (4) (2001)
Dongmei Xiao, Shigui Ruan
Codimension Two bifurcations in a predator-prey System with Group Defense. Int. J. Bifurc. Chaos 11 (8) (2001)
Shigui Ruan, Xue-Zhong He
Global Stability in Chemostat-Type Competition Models with Nutrient Recycling. SIAM J. Appl. Math. 58 (1) (1998)
Gail S. K. Wolkowicz, Huaxing Xia, Shigui Ruan
Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior. SIAM J. Appl. Math. 57 (5) (1997)