Immune level approach for multiple strain pathogens

Miriam A Nuno, M. Martcheva, C. Castillo-Chavez

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We introduce a general framework to study the dynamics of multiple strain pathogens that can impart crossimmunity through a variety of structures. We propose two types of immunity and apply them to assess the dynamics of two competing strains. We illustrate this framework using two "visions": the nexttokin protection (NTKP) approach which assumes that strains confer crossimmunity to next in order (neighboring) strains, while providing no protection against all other strains; and the differential protection (DP) approach assumes that individuals randomly gain partial (may be reinfected) and full cross-immunity following an infection with respective probabilities. We show that the risk of infection with a particular strain is significantly higher in the DP model that the NKTP. Moreover, we demonstrate that weaker cross-immunity structures in these models are more likely to lead to instability (sustained oscillations) in the strain coexistence mode. That is, periodic oscillations are sustained in the two-strain DP model for intermediate to weak levels of cross-immunity, while the NTKP model requires at least three strains to support these unstable dynamics.

Original languageEnglish (US)
Pages (from-to)713-737
Number of pages25
JournalJournal of Biological Systems
Volume17
Issue number4
DOIs
StatePublished - Jan 1 2009
Externally publishedYes

Fingerprint

Pathogens
immunity
Immunity
pathogen
pathogens
cross immunity
oscillation
Infection
coexistence
Oscillation
Coexistence
Model
infection
Unstable
Likely
Partial

Keywords

  • Coexistence
  • CrossImmunity
  • Differential Protection
  • Multiple Strains
  • NexttoKin Protection
  • Oscillatory Coexistence
  • Reinfection
  • Sustained Oscillations

ASJC Scopus subject areas

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

Cite this

Immune level approach for multiple strain pathogens. / Nuno, Miriam A; Martcheva, M.; Castillo-Chavez, C.

In: Journal of Biological Systems, Vol. 17, No. 4, 01.01.2009, p. 713-737.

Research output: Contribution to journalArticle

Nuno, Miriam A ; Martcheva, M. ; Castillo-Chavez, C. / Immune level approach for multiple strain pathogens. In: Journal of Biological Systems. 2009 ; Vol. 17, No. 4. pp. 713-737.
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