Co-operation and Defection

Playing the Field in Virus Dynamics

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A previous model (Szathmáry, 1992) is further developed for the dynamics of standard (V) and defective interfering (DI) viruses. The crucial retained element is the incorporation of population structure in the form of a complete distribution of cells infected by particles differing in number. New elements are: the non-linear shared benefit from the contribution of Vs to the group of viruses infecting the same cell (synergistic at low numbers, diminishing returns at high numbers, respectively); a dynamics for the total number of particles (V and DI); and the possibility of extinction if the frequency of Vs is small enough. In evolutionary genetical terms this is a frequency- and density-dependent evolutionary game. A crucial result is retained: coexistence of Vs and DIs is possible provided the multiplicity of infection (hence the size of the coinfection group) is large enough. Phase portraits and vector-field plots for a continuous-time and numerical solutions for a corresponding discrete-time case are presented. The latter reflect the basic features of serial, undiluted passage. The causes for two possible means of extinction (low initial frequency of Vs, and very high vigour of Vs) are revealed: the appearance of high amplitude fluctuations. Coexistence can apparently be ensured by stable points, periodic behaviour, or strange attractors. The paper clarifies the dynamical background of cycles found experimentally in V-DI systems.

Original languageEnglish
Pages (from-to)341-356
Number of pages16
JournalJournal of Theoretical Biology
Volume165
Issue number3
DOIs
Publication statusPublished - Dec 7 1993

Fingerprint

Defective Viruses
Viruses
Virus
Serial Passage
viruses
extinction
Coinfection
Coexistence
Extinction
mixed infection
Population Structure
Evolutionary Game
vigor
Strange attractor
Phase Portrait
Diminishing
Periodic Points
Cell
population structure
Infection

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Co-operation and Defection : Playing the Field in Virus Dynamics. / Szathmáry, E.

In: Journal of Theoretical Biology, Vol. 165, No. 3, 07.12.1993, p. 341-356.

Research output: Contribution to journalArticle

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