Zhenyu Wang

University of Illinois, Urbana-Champaign, Urbana, IL, United States

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Publications (2)4.58 Total impact

  • Source
    Zhenyu Wang · Nigel Goldenfeld
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    ABSTRACT: We present a mean field model for the phase diagram of a community of micro-organisms, interacting through their metabolism so that they are, in effect, engaging in a cooperative social game. We show that as a function of the concentration of the nutrients glucose and histidine, the community undergoes a phase transition separating a state in which one strain is dominant to a state which is characterized by coexisting populations. Our results are in good agreement with recent experimental results, correctly predicting quantitative trends and the phase diagram.
    Preview · Article · Aug 2011 · Physical Review E
  • Source
    Zhenyu Wang · Nigel Goldenfeld
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    ABSTRACT: Starting with stochastic rate equations for the fundamental interactions between microbes and their viruses, we derive a mean field theory for the population dynamics of microbe-virus systems, including the effects of lysogeny. In the absence of lysogeny, our model is a generalization of that proposed phenomenologically by Weitz and Dushoff. In the presence of lysogeny, we analyze the possible states of the system, identifying a novel limit cycle, which we interpret physically. To test the robustness of our mean field calculations to demographic fluctuations, we have compared our results with stochastic simulations using the Gillespie algorithm. Finally, we estimate the range of parameters that delineate the various steady states of our model.
    Preview · Article · Jul 2010 · Physical Review E

Publication Stats

13 Citations
4.58 Total Impact Points

Top Journals


  • 2010-2011
    • University of Illinois, Urbana-Champaign
      • Department of Physics
      Urbana, IL, United States