ICAR

Scrub Typhus Mathematical Simulation

Human–Mite–Rodent SEIR-SI Model  |  ICAR-NIVEDI

NIVEDI
Simulation Duration (days)
Day Cursor
0
Basic Reproduction Number
—
R₀ = √(NGM formula)
Peak Infected Humans
—
—
Final Infected Humans
—
—
Day: 0

📊 Day-Cursor Statistics

Density of Susceptible human(S_H)
—
Density of Exposed humans(E_H)
—
Density of Infected humans(I_H)
—
Density of recovered humans(R_H)
—
Density of Infected Questing Mites(I_QM)
—
Density of Susceptible Questing Mites(S_QM)
—
Density of Infected Feeding Mites(I_FM)
—
Density of infected Adult mites (I_AM)
—
Density of Susceptible Rodents (S_R)
—
Density of Infected Rodents (I_R)
—
R₀ Summary + Derived Indicators + Equilibrium auto
R₀ (results)
—
from model equations (β, γ, μ, D, φ, F_env…)
Herd immunity threshold
—
HIT = 1 − 1/R₀ (if R₀>1)
Peak infected (I_total)
—
Day —
Time to peak
—
days from Day 0
Duration of infection
—
days with I_total > 1
Time endemic starts
—
first stable plateau window
Time epidemic starts
—
first day I_total > 1
Time epidemic ends
—
last day I_total > 1
I_total curve (scaled)
Markers: Peak (red), Endemic start (green), Epidemic start/end (blue/gray)
What-if: vary initial Infected Questing Mites (I_QM) and compare curves
Endemic Equilibrium Point (from equations)
Density of Susceptible humans(S_H)
—
Susceptible humans
Density of Exposed humans(E_H)
—
Exposed humans
Density of Infected humans(I_H)
—
Infected humans
Density of Infected Rodents (R_H
—
Recovered humans
Density of Infected Questing Mites (I_QM)
—
Infected questing mites
Density of Susceptible Questing Mites(S_QM)
—
Susceptible mites
Density of Infected Feeding Mites(I_FM)
—
Infected feeding mites
Density of infected Adult mites(I_AM)
—
Infected adult mites
Density of Susceptible Rodents (S_R)
—
Susceptible rodents
Density of Infected Rodents (I_R)/div>
—
Infected rodents