Contact Info
Overview
overview
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Chunhua Shan obtained his Ph.D. degree at York University, Canada in 2013. He worked as a Visiting Assistant Professor in Georgia Institute of Technology from 2013 to 2014, and he was a Postdoctoral Fellow at the University of Alberta in 2014-2016. He joined the University of Toledo since Fall 2016. His research interests focus on differential equations, dynamical systems, mathematical biology and epidemiology.
Publications
selected publications
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Article (Faculty180)
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2023Oscillations and coexistence generated by discrete delays in a two-species competition model. Discrete and Continuous Dynamical Systems - B.
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2023The spatial and temporal effects of Fog–Haze pollution on the influenza transmission. International Journal of Biomathematics.
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2022A Predator-prey System with Generalized Holling Type IV Functional Response and Allee Effects in Prey. Journal of Differential Equations.
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2022High codimension bifurcations of a predator-prey system with generalized Holling type III functional response and Allee effects. Journal of Dynamics and Differential Equations.
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2022Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases. Discrete & Continuous Dynamical Systems - Series B.
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2020Modeling the effect of temperature on dengue virus transmission with periodic delay differential equations. Mathematical Biosciences and Engineering.
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2020Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics. Journal of Mathematical Biology.
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2020Periodic Phenomena and Driving Mechanisms in Transmission of West Nile Virus with Maturation Time. Journal of Dynamics and Differential Equations.
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2019Complex dynamics of epidemic models on adaptive networks. Journal of Differential Equations. 266:803-832.
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2019Direct and indirect effects of toxins on competition dynamics of species in an aquatic environment. Journal of Mathematical Biology. 78:739–766.
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2018Bifurcations and global dynamics in a toxin-dependent aquatic population model. Mathematical Biosciences. 296:26.
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2016Finite Cyclicity of Some Graphics Through a Nilpotent Point of Saddle Type Inside Quadratic Systems. Qualitative Theory of Dynamical Systems.
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2016Modeling the spread and control of dengue with limited public health resources. Mathematical Biosciences. 271:136.
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2016Nilpotent singularities and dynamics in an SIR type of compartmental model with hospital resources. Journal of Differential Equations. 260:4339.
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2016Turning Points And Relaxation Oscillation Cycles in Simple Epidemic Models. SIAM J. Appl. Math.. 76:663.
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2014Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds. Journal of Differential Equations. 257:1662-1688.
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2014The Dynamics of Growing Islets and Transmission of Schistosomiasis Japonica in the Yangtze River. Bulletin of Mathematical Biology. 76:1194-1217.
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2011Dynamics of a delay schistosomiasis model in snail infections. Mathematical Biosciences and Engineering. 8:1099-1115.
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Article (Web of Science)
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2021Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases. Discrete & Continuous Dynamical Systems - B. 0:0.Full Text via DOI: 10.3934/dcdsb.2021097
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2020Periodic Phenomena and Driving Mechanisms in Transmission of West Nile Virus with Maturation Time. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. 32:1003-1026.Full Text via DOI: 10.1007/s10884-019-09758-x
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2020Modeling the effect of temperature on dengue virus transmission with periodic delay differential equations. MATHEMATICAL BIOSCIENCES AND ENGINEERING. 17:4147-4164.Full Text via DOI: 10.3934/mbe.2020230
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2019Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics. JOURNAL OF MATHEMATICAL BIOLOGY.Full Text via DOI: 10.1007/s00285-019-01442-4 PMID: 31654120
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2019Direct and indirect effects of toxins on competition dynamics of species in an aquatic environment. JOURNAL OF MATHEMATICAL BIOLOGY. 78:739-766.Full Text via DOI: 10.1007/s00285-018-1290-2
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2019Complex dynamics of epidemic models on adaptive networks. JOURNAL OF DIFFERENTIAL EQUATIONS. 266:803-832.Full Text via DOI: 10.1016/j.jde.2018.07.054
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2018Bifurcations and global dynamics in a toxin-dependent aquatic population model. MATHEMATICAL BIOSCIENCES. 296:26-35.Full Text via DOI: 10.1016/j.mbs.2017.11.013
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2016Finite Cyclicity of Some Graphics Through a Nilpotent Point of Saddle Type Inside Quadratic Systems. Qualitative Theory of Dynamical Systems. 15:237-256.Full Text via DOI: 10.1007/s12346-015-0143-2
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2016Modeling the spread and control of dengue with limited public health resources. MATHEMATICAL BIOSCIENCES. 271:136-145.Full Text via DOI: 10.1016/j.mbs.2015.11.004
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2016Nilpotent singularities and dynamics in an SIR type of compartmental model with hospital resources. JOURNAL OF DIFFERENTIAL EQUATIONS. 260:4339-4365.Full Text via DOI: 10.1016/j.jde.2015.11.009
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2016Turning Points And Relaxation Oscillation Cycles in Simple Epidemic Models. SIAM Journal on Applied Mathematics. 76:663-687.Full Text via DOI: 10.1137/15m1038785
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2014Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds. JOURNAL OF DIFFERENTIAL EQUATIONS. 257:1662-1688.Full Text via DOI: 10.1016/j.jde.2014.05.030
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2014The Dynamics of Growing Islets and Transmission of Schistosomiasis Japonica in the Yangtze River. Bulletin of Mathematical Biology. 76:1194-1217.Full Text via DOI: 10.1007/s11538-014-9961-7
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2011Dynamics of a delay Schistosomiasis model in snail infections. Mathematical Biosciences and Engineering. 8:1099-1115.Full Text via DOI: 10.3934/mbe.2011.8.1099
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Chapter (Faculty180)
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2023On the recovery rates of SIR type of compartmental models. Contemporary Research in Mathematical Biology.
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Contact
full name
- Chunhua Shan
visualizations
Cumulative publications in Scholars@UToledo
