← Back to Gallery

Endemic Equilibrium

Disease Transition from Epidemic to Endemic State with Demographics

Population Parameters

10,000
0.00010

Disease Parameters

0.40
0.10
1.0%

Advanced Features

SIR Model with Demographics

When births replenish susceptibles, diseases can persist at endemic equilibrium:

dS/dt = μN - βSI/N - μS
dI/dt = βSI/N - γI - μI
R₀ = β/(γ + μ)

Endemic state: S* = (γ+μ)/β, I* = μ(R₀-1)/β

Susceptible
Infected
Recovered
Endemic Equilibrium
Susceptible
99%
Infected
1%
Recovered
0%
R₀ (Basic)
4.00

Current State

S: 99% I: 1% R: 0%

Endemic Equilibrium (Predicted)

S*: 25% I*: 0.1% R*: 74.9%

Disease Phase

Epidemic

Initial outbreak spreading through population

Day: 0 Effective R: 4.00