Does dormancy increase fitness of bacterial populations in time-varying environments?

Tufail Malik, Hal Smith

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A simple family of models of a bacterial population in a time varying environment in which cells can transit between dormant and active states is constructed. It consists of a linear system of ordinary differential equations for active and dormant cells with time-dependent coefficients reflecting an environment which may be periodic or random, with alternate periods of low and high resource levels. The focus is on computing/estimating the dominant Lyapunov exponent, the fitness, and determining its dependence on various parameters and the two strategies-responsive and stochastic-by which organisms switch between dormant and active states. A responsive switcher responds to good and bad times by making timely and appropriate transitions while a stochastic switcher switches continuously without regard to the environmental state. The fitness of a responsive switcher is examined and compared with fitness of a stochastic switcher, and with the fitness of a dormancy-incapable organism. Analytical methods show that both switching strategists have higher fitness than a dormancy-incapable organism when good times are rare and that responsive switcher has higher fitness than stochastic switcher when good times are either rare or common. Numerical calculations show that stochastic switcher can be most fit when good times are neither too rare or too common.

Original languageEnglish (US)
Pages (from-to)1140-1162
Number of pages23
JournalBulletin of Mathematical Biology
Volume70
Issue number4
DOIs
StatePublished - May 2008

Fingerprint

Varying Environment
Dormancy
dormancy
Fitness
Time-varying
fitness
Switches
organisms
Ordinary differential equations
Population
Linear systems
analytical methods
Switch
cells
Cell
System of Ordinary Differential Equations
Analytical Methods
Lyapunov Exponent
Alternate
Numerical Calculation

Keywords

  • Dormancy
  • Fitness
  • Floquet multipliers
  • Lyapunov exponent
  • Quiescence
  • Random Perron-Frobenius theorem

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Does dormancy increase fitness of bacterial populations in time-varying environments? / Malik, Tufail; Smith, Hal.

In: Bulletin of Mathematical Biology, Vol. 70, No. 4, 05.2008, p. 1140-1162.

Research output: Contribution to journalArticle

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