Dr Stephen Baigent
Photo on 23-06-2013 at 09.46 #2


Department of Mathematics, University College London, Gower Street, London WC1E 6BT

Office: 802B, Phone: 020 679 3593 (33593 internal)
E-mail: s.baigent_at_ucl.ac.dot.uk





Research Interests

  • Invariant manifolds for Kolmogorov and Lokta-Volterra equations
  • Curvature of Invariant Manifolds
  • Evolutionary Game Theory
  • Global stability for ecological systems
  • Ecological modelling
  • The intermediate disturbance hypothesis
  • Coexistence and Permanence
  • Monotone dynamical systems
  • Quasilinkage Equilibrium in Genetics
  • Modelling Liver Physiology



may_leon_A2b0p5may_leon_A1B0p5noncompet1

Figures: Invariant manifolds for Lotka-Volterra systems. Last figure is a non-competitive example. Local stability is related to curvature of the manifold at a fixed point.





Teaching

• MATH3506 Mathematical Ecology

• MATHM505 Evolutionary Games and Population Genetics

• Some old MATH1302
mechanics notes





Recent Publications



2015

Baigent, S. Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems. (To appear in J Difference Equations and Applications)

Hou, Z. & Baigent. Global stability and repulsion in autonomous Kolmogorov systems. Communications of Pure and Applied Analysis, 14(3), 1205-1238. (pdf)

Noiret, L., Baigent, S., Jalan, R., Thomas, S. R.
Mathematical Model of Ammonia Handling in the Rat Renal Medulla. PLoS One. 2015; 10(8):e0134477

2013


Noiret, L., Baigent, S., Jalan, R. Arterial ammonia levels in cirrhosis are determined by systemic and hepatic hemodynamics, and organ function: a quantitative modelling study. Liver International, 10, 2013. (pdf)

Hou, Z. and Baigent, S. (2013) Heteroclinic limit cycles in competitive Kolmogorov systems. Discrete and Continuous Dynamical Systems - Series A, 33(9), 4071-4093. (pdf)

Baigent, S. (2013) Geometry of carrying simplices of 3-species competitive Lotka-Volterra systems.
Nonlinearity 26(4), 1001-1029 (pdf)

[Baigent, S. Geometry of population dynamics. (Poster presented at MBE’13, Leicester.) (pdf)]


2012


Nattrass, S., Baigent, S., Murrell D. (2012) Quantifying the likelihood of coexistence for communities with asymmetric competition,
Bulletin of Mathematical Biology. Vol 74, No. 10, 2315-2338. (pdf)

Baigent, S and Hou, Z. (2012) On the global stability of fixed points for Lotka-Volterra systems.
Differential Equations and Dynamical Systems. 20(1), 53-66. (pdf)

Baigent, S. (2012) Convexity-preserving flows of totally competitive planar Lotka-Volterra equations and the geometry of the carrying simplex.
Proceedings of the Edinburgh Mathematical Society Vol 55. No 1, 53-63. (pdf)


2011


Hou, Z. and Baigent, S. (2011) Fixed Point Global Attractors and Repellors in Competitive Lotka-Volterra Systems.
Dynamical Systems Vol 26, No. 4. 367-390. (pdf)


2009

Donnell, P., Baigent, S. A., Murad Banaji. (2009) Monotone dynamics of two cells dynamically coupled by a voltage-dependent gap junction.
Journal of Theoretical Biology 261, 120-125.

Donnell, P., Banaji, M., Baigent, S. A. (2009) Stability in generic mitochondrial models.
Journal of Mathematical Chemistry, Vol 43 (2), 322-339.




Model building at its best?