Target Reproduction Number with Application to Ecology and Epidemiology

Theoretical Work on Target Reproduction Number

  • Z. Shuai, J.A.P. Heesterbeek, P. van den Driessche.
    Extending the type reproduction number to infectious disease control targeting contacts between types.
    Journal of Mathematical Biology, 67 (2013) 1067-1082. pdf  erratum
  • J.W. Moon, Z. Shuai, P. van den Driessche.
    Walks and cycles on a digraph with application to population dynamics.
    Linear Algebra and its Applications, 45 (2014) 182-196. pdf

Application of Target Reproduction Number

  • M.C. Eisenberg, Z. Shuai, J.H. Tien, P. van den Driessche.
    A cholera model in a patchy environment with water and human movement.
    Mathematical Biosciences, 246 (2013) 105-112. pdf
  • C.M. Saad-Roy, Z. Shuai, P. van den Driessche.
    Models of Bovine Babesiosis including juvenile cattle.
    Bulletin of Mathematical Biology, 77 (2015) 514-547.
  • C. Browne, G.F. Webb.
    A nosocomial epidemic model with infection of patients due to contaminated rooms.
    Mathematical Biosciences and Engineering, 12 (2015) 761-787.
  • Z. Shuai, P. van den Driessche.
    Modelling and control of cholera on networks with a common water source.
    Journal of Biological Dynamics, in press.
  • X. Wang, J. Wang.
    Analysis of cholera epidemics with bacterial growth and spatial movement.
    Journal of Biological Dynamics, in press.