Dr Zhanyuan Hou
Dr Zhanyuan Hou was born in China, where he obtained his first and Master's degrees in mathematics and worked as an academic for 8 years. He then moved to London in the late 1980s. After completing his PhD in 1994 at the London Guildhall University, he started his career at London Met as a researcher and lecturer in Mathematics and is now a senior lecturer in this field and also a research supervisor.
- London Mathematical Society
His research interests are in the area of Differential Equations and Dynamical Systems (Discrete and Continuous).
He participated in various course and module designs, taught a wide range of courses from Foundation to Masters level, and led a large number of modules. He currently teaches:
- Further Calculus
- Computational Mathematics
- Differential Equations
- Mathematical Modelling
- Academic Independent Study
He participated in RAE 2008 and REF 2014 and will be submitting papers for REF 2021.
Publications/Conference Papers since 2010:
Z. Hou, On permanence of all subsystems of competitive Lotka-Volterra systems with delays, Nonlinear Analysis: Real World Applications 11 (2010) 4285-4301.
Z. Hou, Permanence and Extinction in Competitive Lotka-Volterra Systems with Delays. Nonlinear Analysis: Real World Applications 12 (2011) 2130–2141.
Z. Hou and S. Baigent, Fixed point global attractors and repellors in competitive Lotka-Volterra Systems. Dynamical Systems (An International Journal), Vol. 26, No. 4, December 2011, 367–390.
Z. Hou, Asymptotic behaviour and bifurcation in competitive Lotka-Volterra systems. Applied Mathematics Letters 25 (2012) 195–199.
Z. Hou, Oscillations and limit cycles in competitive Lotka-Volterra systems with delays. Nonlinear Analysis: Theory, Method and Applications, 75 (2012) 358–370.
S. Baigent and Z. Hou, Global stability of interior and boundary ﬁxed points for Lotka-Volterra systems, Diﬀ. Eq. Dyn. Syst., 20 (2012), 53–66.
Z. Hou, On permanence of Lotka-Volterra systems with delays and variable in- trinsic growth rates, Nonlinear Analysis: Real World Applications, 14 (2013), 960–975.
Z. Hou and S. Baigent, Heteroclinic limit cycles in competitive Kolmogorov systems, Discrete and Continuous Dynamical Systems (A), Volume 33, Number 9, September (2013), pp. 4071–4093.
Z. Hou, Permanence, Global Attraction and Stability, part I of the book “Recent Development of Lotka-Volterra and Related Equation”, Eds. Shair Ahmad and Ivanka M. Stamova, Verlag Walter de Gruyter, Berlin (2013).
Z. Hou, Permanence criteria for Kolmogorov systems with delays, Proc. Roy. Soc. Edinburgh, Volume 144A (2014), pp. 511–531.
Z. Hou and S. Baigent, Global stability and repulsion in autonomous kolmogorov systems, Communications on Pure and Applied Analysis, Volume 14, Number 3, May (2015), pp. 1205-1238.
S. Wu, P. S. Calay and Z. Hou, Oscillation criteria for a class of nonlinear neutral differential equations, Advances in Difference Equations, (2015)154 doi:10.1186/s13662-015-0493-8.
S. Wu, P. S. Calay and Z. Hou, Oscillation criteria for a class of higher odd order neutral difference equations with continuous variable, Advances in Difference Equations, (2015)166 doi:10.1186/s13662-015-0508-5.
S. Baigent and Z. Hou, Global stability of discrete-time competitive population models, Journal of Difference Equations and Applications, ( Accepted 15 May 2017, Published online: 29 May 2017, http://dx.doi.org/10.1080/10236198.2017.1333116.) 23 (8) (2017) 1378-1396.
Z. Hou, Geometric method for global stability and repulsion in Kolmogorov systems, Dynamical Systems (An International Journal), 34 (3) (2019), 456-483, (Accepted 26 Nov 2018, published online first 14 Dec 2018.) https://doi.org/10.1080/14689367.2018.1554030
Z. Hou, Geometric method for global stability of discrete population models, Discrete and Continuous Dynamical Systems (B) (published online first) doi:10.3934/dcdsb.2020063
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