Journal article

Periodic solutions in an SIRWS model with immune boosting and cross-immunity

Tiffany Leung, Barry D Hughes, Federico Frascoli, James M McCaw

JOURNAL OF THEORETICAL BIOLOGY | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | Published : 2016

Abstract

Incidence of whooping cough, an infection caused by Bordetella pertussis and Bordetella parapertussis, has been on the rise since the 1980s in many countries. Immunological interactions, such as immune boosting and cross-immunity between pathogens, have been hypothesised to be important drivers of epidemiological dynamics. We present a two-pathogen model of transmission which examines how immune boosting and cross-immunity can influence the timing and severity of epidemics. We use a combination of numerical simulations and bifurcation techniques to study the dynamical properties of the system, particularly the conditions under which stable periodic solutions are present. We derive analytic e..

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Grants

Awarded by National Health and Medical Research Council Centre for Research Excellence in Infectious Diseases Modelling to Inform Public Health Policy


Awarded by Australian Research Council


Funding Acknowledgements

We thank Patricia Campbell from the University of Melbourne for insightful discussions. Tiffany Leung is supported by a Melbourne International Research Scholarship from the University of Melbourne and has received funding from a National Health and Medical Research Council funded Centre for Research Excellence in Infectious Diseases Modelling to Inform Public Health Policy (1078068). James M. McCaw is supported by an Australian Research Council Future Fellowship (110100250).