C Connell McCluskey

Summary

Publications

  1. ncbi request reprint Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    Math Biosci Eng 6:603-10. 2009
  2. doi request reprint Attractivity of coherent manifolds in metapopulation models
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON N2L3C5, Canada
    J Math Biol 62:509-41. 2011
  3. doi request reprint Global stability for an SEI model of infectious disease with age structure and immigration of infecteds
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada Email
    Math Biosci Eng 13:381-400. 2016
  4. doi request reprint Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    Math Biosci Eng 9:819-41. 2012
  5. doi request reprint Global stability of an epidemic model with delay and general nonlinear incidence
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    Math Biosci Eng 7:837-50. 2010
  6. doi request reprint Effect of a sharp change of the incidence function on the dynamics of a simple disease
    Julien Arino
    Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada
    J Biol Dyn 4:490-505. 2010

Collaborators

Detail Information

Publications6

  1. ncbi request reprint Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    Math Biosci Eng 6:603-10. 2009
    ..Here, we show that the endemic equilibrium is globally stable for R0 >1. The proof uses a Lyapunov functional that includes an integral over all previous states...
  2. doi request reprint Attractivity of coherent manifolds in metapopulation models
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON N2L3C5, Canada
    J Math Biol 62:509-41. 2011
    ..Our methods yield rigorous and practically useful coherence criteria that facilitate useful analyses of ecological and epidemiological problems...
  3. doi request reprint Global stability for an SEI model of infectious disease with age structure and immigration of infecteds
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada Email
    Math Biosci Eng 13:381-400. 2016
    ..The model is very appropriate for tuberculosis. A Lyapunov functional is used to show that the unique endemic equilibrium is globally stable for all parameter values. ..
  4. doi request reprint Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    Math Biosci Eng 9:819-41. 2012
    ..For R0 > 1, a Lyapunov functional is used to show that the endemic equilibrium is globally stable amongst solutions for which the disease is present. Finally, some special cases are considered...
  5. doi request reprint Global stability of an epidemic model with delay and general nonlinear incidence
    C Connell McCluskey
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    Math Biosci Eng 7:837-50. 2010
    ..The global stability proofs use a Lyapunov functional and do not require uniform persistence to be shown a priori. It is shown that the given conditions are satisfied by several common forms of the incidence function...
  6. doi request reprint Effect of a sharp change of the incidence function on the dynamics of a simple disease
    Julien Arino
    Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada
    J Biol Dyn 4:490-505. 2010
    ..We show that this allows a Hopf bifurcation to occur, with periodic orbits being generated when a locally asymptotically stable equilibrium loses stability...