I am an applied mathematician interested in using mathematics to understand and solve problems in biology, medicine and engineering.
My research is mainly concentrated in the following areas –
Mathematical biology and epidemiology: the dynamics and synchronization of multi-strain infectious diseases; symmetric dynamics and equivariant bifurcations; effects of latency and temporary immunity; and adaptive dynamics and sympatric speciation.
Mathematical modelling in immunology and autoimmunity: antigenic variation and interactions of antigenic variants; tunable activation thresholds and pathogen-induced autoimmunity.
Delay differential equations: time-delayed feedback control; stability and synchronization in networks with time-delayed connections; distributed time delays; numerical bifurcation analysis and simulations.