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π¦ KFD Quick Guide
βΌ
How to use
Enter
initial populations
for ticks (larvae/nymph/adult), primates, mammals, and humans on the left.
Adjust
transmission coefficients
(Ξ² values) and ecological parameters.
Use
Intervention day
slider to set when vaccination starts.
Use
Day cursor
to move through time and see compartment values.
Enter
H_I (infectious humans)
in the equilibrium tab to compare curves.
Key parameters
Ξ²_nH
: Nymph tickβHuman transmission rate (most critical for human risk)
rβ, rβ, rβ
: Tick-host contact rates
Ξ± (vaccination rate)
: Human vaccination rate, active after intervention day
BF_env
: Environmental scaling factor in Rβ
G
: Tick development rate between life stages
β Most Influential Parameters
β Ξ²_nH
β Nymph tick β Human transmission
β Ξ± (vaccination rate)
β Human protection
β rβ (primate contact)
β Tick infection from primates
β BF_env
β Environmental multiplier
β G (tick development)
β Stage progression
π‘ Small changes in β parameters can cause major differences in outbreak dynamics.
Intervention day
50
Day cursor
0
linear scale
Reset
Download Report (HTML)
Download Parameters (CSV)
Download Results (CSV)
Download Chart + Summary (PNG)
Rβ Results
Intervention day:
50
Rβ
?
β
from model formula
Herd immunity threshold
β
HIT = 1 β 1/Rβ (if Rβ>1)
Day
0
Epidemic Simulation Chart
l_S β Susceptible Larvae
n_S β Susceptible Nymphs
a_S β Susceptible Adult Ticks
l_I β Infected Larvae
n_I β Infected Nymphs
a_I β Infected Adult Ticks
P_S β Susceptible Primates
P_I β Infectious Primates
P_D β Dead Primates (Carcasses)
M_S β Susceptible Mammals
M_I β Infectious Mammals
H_S β Susceptible Humans
H_I β Infectious Humans
H_R β Recovered Humans
H_V β Vaccinated Humans
Day
0
Results at Day cursor
l_S β Susceptible Larvae
β
l_I β Infected Larvae
β
n_S β Susceptible Nymphs
β
n_I β Infected Nymphs
β
a_S β Susceptible Adult Ticks
β
a_I β Infected Adult Ticks
β
P_S β Susceptible Primates
β
P_I β Infectious Primates
β
P_D β Dead Primates (Carcasses)
β
M_S β Susceptible Mammals
β
M_I β Infectious Mammals
β
H_S β Susceptible Humans
β
H_I β Infectious Humans
β
H_R β Recovered Humans
β
H_V β Vaccinated Humans
β
Tick totals
β
Total infected (I_total)
β
N_T / N_P / N_M / N_H
β
Vaccination active?
β
I_total curve (scaled)
Markers: Peak (red), Endemic start (green), Epidemic start/end (blue / gray)
What-if: vary initial Infectious Humans (H_Iβ) and compare curves
H_Iβ value
view curve
Clear
Peak I_total
β
Day β
Equilibrium (mean of last 7 days)
β
From day β
I_total* (from equations)
β
Endemic size from E* equations
Epidemic duration
β
Days with I_total > 1
Endemic equilibrium point (from equations)
Tick S*
l_S* + n_S* + a_S* (susceptible ticks)
β
Tick I*
l_I* + n_I* + a_I* (infected ticks)
β
P_S*
Susceptible primates at endemic equilibrium
β
P_I*
Infected primates at endemic equilibrium
β
M_I*
Infected monkey hosts at endemic equilibrium
β
H_S*
Susceptible humans at endemic equilibrium
β
H_I*
Infectious humans at endemic equilibrium
β
I_total*
Total infected (ticks + primates + humans) at endemic equilibrium
β
π¬ H_I What-If: Compare equilibrium curves by infectious human count
Enter H_I values to overlay new simulation curves. Each shows its own peak β and equilibrium (dashed).
H_I (Infectious humans) value
+ Add Curve
Clear All
Scenario (H_I)
Peak I_total
Peak Day
Equilibrium (last 7d avg)
Add H_I curves above to compare
βοΈ Endemic Equilibrium E* β equation-based values at final simulation day
Tick_S*
l_S*+n_S*+a_S*
β
Tick_I*
l_I*+n_I*+a_I*
β
P_S*
susc. primates
β
P_I*
inf. primates
β
M_I*
inf. mammals
β
H_S*
susc. humans
β
H_I*
inf. humans
β
I_total*
all infected
β
Full Equilibrium Detail (all compartments)
Compartment
E* Value
Meaning
Run simulation to populate
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β