Time evolution of a mean-field generalized contact process

Logan Chariker, Joel L. Lebowitz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We investigate the macroscopic time evolution and stationary states of a mean field discrete voltage neuron model, or equivalently, a generalized contact process in Rd. The model is described by a coupled set of nonlinear integral-differential equations. It was inspired by a model of neurons with discrete voltages evolving by a stochastic integrate and fire mechanism. We obtain a complete solution in the spatially uniform case and partial solutions in the general case. The system has one or more fixed points and also traveling wave solutions.

Original languageEnglish (US)
Article number023502
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number2
StatePublished - Feb 1 2022

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


  • computational neuroscience
  • neuronal networks
  • population dynamics
  • stochastic processes


Dive into the research topics of 'Time evolution of a mean-field generalized contact process'. Together they form a unique fingerprint.

Cite this