Live Stream Audience Growth Simulator

Stream Levers

Content Quality 60%

Chat Interaction 50%

Discovery Algorithm Favor 40%

Live Metrics

Viewers

Peak viewers

Followers gained

Chat msgs/min

Viewer history

How it works

Viewer count V follows logistic growth toward a platform carrying capacity K, driven by a net growth rate that content quality and chat interaction shape, plus a decaying inflow from algorithmic discovery and raids:

dV/dt = r_net · V · (1 − V/K) + B(t)
r_net = (g0 + gQ·Q) − (c0 − cC·C)
dB/dt = −B / τ         (discovery/raid pulses decay exponentially)
dF/dt = kF · V · Q      (followers convert from engaged viewers)

Content Quality (Q) — raises the intrinsic growth rate and the follow-conversion rate kF·V·Q.
Chat Interaction (C) — lowers the churn term c0−cC·C: viewers who get replies stick around.
Discovery Favor — sets how often the platform's algorithm injects a decaying pulse B(t) of impression-driven viewers (front-page/category placement).
Trigger Raid — a one-off large pulse added directly to B(t), modelling another streamer sending their audience over.
The logistic (1 − V/K) term caps growth as the audience saturates — the same S-curve used to model epidemics, adoption curves and, here, a channel's realistic ceiling for its current tier.

Engaged viewer Idle viewer Chat activity

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