Chaotic desynchronization of multistrain diseases

Ira B. Schwartz, Leah B. Shaw, Derek A. T. Cummings, Lora Billings, Marie McCrary, and Donald S. Burke
Phys. Rev. E 72, 066201 – Published 1 December 2005

Abstract

Multistrain diseases are diseases that consist of several strains, or serotypes. The serotypes may interact by antibody-dependent enhancement (ADE), in which infection with a single serotype is asymptomatic, but infection with a second serotype leads to serious illness accompanied by greater infectivity. It has been observed from serotype data of dengue hemorrhagic fever that outbreaks of the four serotypes occur asynchronously. Both autonomous and seasonally driven outbreaks were studied in a model containing ADE. For sufficiently small ADE, the number of infectives of each serotype synchronizes, with outbreaks occurring in phase. When the ADE increases past a threshold, the system becomes chaotic, and infectives of each serotype desynchronize. However, certain groupings of the primary and secondary infectives remain synchronized even in the chaotic regime.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 17 January 2005
  • Revised 29 July 2005

DOI:https://doi.org/10.1103/PhysRevE.72.066201

Authors & Affiliations

Ira B. Schwartz1, Leah B. Shaw1, Derek A. T. Cummings3, Lora Billings2, Marie McCrary2, and Donald S. Burke3

  • 1U.S. Naval Research Laboratory, Code 6792, Nonlinear Systems Dynamics Section, Plasma Physics Division, Washington, D.C. 20375
  • 2Montclair State University, Department of Mathematical Sciences, Upper Montclair, New Jersey 07043, USA
  • 3Johns Hopkins University, Department of International Health, Bloomberg School of Public Health, 615 North Wolfe Street, Baltimore, Maryland 21205, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 72, Iss. 6 — December 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×