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Finite number fluctuations in a three-state model with growing population

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  • Moy, Tiago
  • Pinto, Italo’Ivo L.D.
  • Rosas, Alexandre

Abstract

We study the role of the finite number of units in a three state model with a growing population. The model presents two attractors, namely a fixed point and a limit cycle. In the mean field approximation, it has been shown that there is a bistability region for which both attractors are stable. We observe that, contrary to constant population models, the bistability is preserved in the presence of finite number fluctuations.

Suggested Citation

  • Moy, Tiago & Pinto, Italo’Ivo L.D. & Rosas, Alexandre, 2020. "Finite number fluctuations in a three-state model with growing population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    • Handle: RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120303721
    DOI: 10.1016/j.physa.2020.124745
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    3. Prager, T & Naundorf, B & Schimansky-Geier, L, 2003. "Coupled three-state oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 176-185.
    4. Arnold J. T. M. Mathijssen & Joshua Culver & M. Saad Bhamla & Manu Prakash, 2019. "Collective intercellular communication through ultra-fast hydrodynamic trigger waves," Nature, Nature, vol. 571(7766), pages 560-564, July.
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