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Brajendra Singh

My scientific research has thus far primarily focused on the 'dynamical systems theory' - one of the most beautiful theories of modern times, which has much more potential to be applied for the common good in the computer assisted societies than what it might have been anticipated.

I have studied population dynamics models - prey-predator like models, including infection-driven compartmental Susceptible-Infected-Recovered (SIR) or Susceptible-Exposed-Infected-Recovered (SEIR) dynamics, or host-parasitoid models - as well as the models of information/infection transfer dynamics on regular as well as complex networks of nodes. The nodes may represent individual entities of different varieties: farms in the modelling of Foot-and-Mouth Disease (FMD) outbreaks; habitat patches in the modelling of host-parasitoid metapopulations; computers in the models of communication networks; or humans in the modelling of human infections. The study of interactive dynamics of how these nodes communicate between themselves is the one line statement of my current applied research.

I am also fascinated by the effect of feedback on the evolutionary behaviour of dynamical systems, which operates between dynamical systems and their surroundings in which they operate.

Email: brajendra.singh@ed.ac.uk

Publication lists:

Brajendra K. Singh, Irina Chis Ster, and Neil M. Ferguson, The UK's 2001 FMD outbreaks: Revisiting the epidemic control policies. Preprint (2008).

Brajendra K. Singh, M Gambhir, C.-K. Hu, Quasi-cycles and sensitive dependence on seed values in edge of chaos behaviour in a class of self-evolving maps. Chaos, Solitons & Fractals (2008) (in Press).

Paul E. Parham, Brajendra K. Singh and Neil M. Ferguson, Analytic approximation of spatial epidemic models of foot and mouth disease. TBP (2008) (in Press).

S.K.Dana, Brajendra .K. Singh, S.Chakraborty, J.Kurths, G.Osipov, R.C.Yadav, P.K.Roy, and C.-K.Hu, Multi-scroll in coupled double scroll type oscillators. IJBC (2008) (in Press).

Brajendra K. Singh and Neelima M. Gupte, Congestion and decongestion in a communication network. Phys Rev E 71, 055103(R)(2005).

Brajendra K. Singh, J. Subba Rao, R. Ramaswamy and Somdatta Sinha, The role of heterogeneity on the spatiotemporal dynamics of host-parasite metapopulation. Ecol Model, 180, 435-443 (2004).

Brajendra K. Singh and Neelima M. Gupte, Crossover behavior in a communication network. Phys. Rev. E 68, 066121 (2003).