Simulation applications to support teaching and research in epidemiological dynamics

BMC Medical Education

Table 3 Parameter values and ranges used in illustrative simulations

Parameter	Symbol	Value/Range	Comment
Time unit	t	daily
Nominal pop size ^∗	N₀	10⁵−10⁷	see Eq. 19
Simulation interval	[0,t_fnl]	varies	as specified in text
Baseline contact rate	κ₀	0.2-8 per day	see Eq. 10
Transmission parameter	β	0.3	see Eq. 7
Infectious period	\(\frac {1}{\rho _{\text {IR}}}\)	4 days	median time in I
Period of immunity	\(\frac {1}{\rho _{\text {RS}}}=\frac {1}{\rho _{\text {VS}}}\)	10- ∞ days	mean residence time in R & V
Disease-induced mort.	ρ_ID	0-0.01 per day	aka ‘virulence’
Behavioral switch	\(\frac {I(t)}{N(t)}=P_{\kappa }\)	0.001- ∞	∞≡ no behavior (Eq. 10)
Switch abruptness	σ_κ	4	see Eq. 10
Treatment rate	ρ_IT	0-0.1 per day	starts from day 1
Treatment capacity	T^max	0-10,000 per day	see Eq. 21
Vaccination rate	ρ_SV=v	0-0.01 per day	starts at ‘Vacc. on’
Vacc. on	\(\phantom {\dot {i}\!}t_{\mathrm {V}_{\text {on}}}\)	day 0 to 180	see Eq. 23
Vaccination capacity	V^max	100,000 in total	see Eq. 23

^∗ In the continuous-time model the actual value of this parameter has no influence on the dynamics and so all numbers are relative to its value, which can be used to normalize results to proportions or percentages. In the stochastic model, the actual value affects the level of variability as discussed in “Stochastic sIRS+DTV rAMP dashboard” and “Stochastic SIRS dynamics” sections

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