Scaling of Epidemiology Models with Multi-site Compartments
Scaling of Epidemiology Models with Multi-site Compartments
CompoundExpression[ |
# | Symbol | Description |
1 | TP[t] | Total Population |
2 | SP[t] | Susceptible Population |
3 | EP[t] | Exposed Population |
4 | INSP[t] | Infected Normally Symptomatic Population |
5 | ISSP[t] | Infected Severely Symptomatic Population |
6 | RP[t] | Recovered Population |
7 | MLP[t] | Money of Lost Productivity |
# | Symbol | Description |
1 | μ[TP] | Population death rate |
2 | μ[INSP] | Infected Normally Symptomatic Population death rate |
3 | μ[ISSP] | Infected Severely Symptomatic Population death rate |
4 | sspf[SP] | Severely Symptomatic Population Fraction |
5 | β[INSP] | Contact rate for the normally symptomatic population |
6 | β[ISSP] | Contact rate for the severely symptomatic population |
7 | aip | Average infectious period |
8 | aincp | Average incubation period |
9 | lpcr[ISSP,INSP] | Lost productivity cost rate (per person per day) |
# | Equation |
1 | ′ SP INSP[t]SP[t]β[INSP] TP[t] ISSP[t]SP[t]β[ISSP] TP[t] |
2 | ′ EP INSP[t]SP[t]β[INSP] TP[t] ISSP[t]SP[t]β[ISSP] TP[t] 1 aincp |
3 | ′ INSP INSP[t] aip EP[t](1-sspf[SP]) aincp |
4 | ′ ISSP ISSP[t] aip EP[t]sspf[SP] aincp |
5 | ′ RP INSP[t]+ISSP[t] aip |
6 | ′ MLP |
7 | TP[t]Max[0,EP[t]+INSP[t]+ISSP[t]+RP[t]+SP[t]] |
# | Symbol | Value |
1 | μTP | 1 45625 |
2 | μISSP | 0.035 aip |
3 | μINSP | 0.01 aip |
4 | β[ISSP] | 6 |
5 | β[INSP] | 3 |
6 | aip | 28 |
7 | aincp | 6 |
8 | sspf[SP] | 0.2 |
9 | lpcr[ISSP,INSP] | 600 |
# | Equation |
1 | SP[0]99998 |
2 | EP[0]0 |
3 | ISSP[0]1 |
4 | INSP[0]1 |
5 | RP[0]0 |
6 | MLP[0]0 |
7 | TP[0]100000 |
# | Symbol | Description |
1 | TP[1][t] | Total Population |
2 | SP[1][t] | Susceptible Population |
3 | EP[1][t] | Exposed Population |
4 | INSP[1][t] | Infected Normally Symptomatic Population |
5 | ISSP[1][t] | Infected Severely Symptomatic Population |
6 | RP[1][t] | Recovered Population |
7 | MLP[1][t] | Money of Lost Productivity |
# | Symbol | Description |
1 | μ[1][TP] | Population death rate |
2 | μ[1][INSP] | Infected Normally Symptomatic Population death rate |
3 | μ[1][ISSP] | Infected Severely Symptomatic Population death rate |
4 | sspf[1][SP] | Severely Symptomatic Population Fraction |
5 | β[1][INSP] | Contact rate for the normally symptomatic population |
6 | β[1][ISSP] | Contact rate for the severely symptomatic population |
7 | aip[1] | Average infectious period |
8 | aincp[1] | Average incubation period |
9 | lpcr[1][ISSP,INSP] | Lost productivity cost rate (per person per day) |
# | Equation |
1 | ′ SP[1] INSP[1][t]SP[1][t]β[1][INSP] TP[1][t] ISSP[1][t]SP[1][t]β[1][ISSP] TP[1][t] |
2 | ′ EP[1] INSP[1][t]SP[1][t]β[1][INSP] TP[1][t] ISSP[1][t]SP[1][t]β[1][ISSP] TP[1][t] 1 aincp[1] |
3 | ′ INSP[1] INSP[1][t] aip[1] EP[1][t](1-sspf[1][SP]) aincp[1] |
4 | ′ ISSP[1] ISSP[1][t] aip[1] EP[1][t]sspf[1][SP] aincp[1] |
5 | ′ RP[1] INSP[1][t]+ISSP[1][t] aip[1] |
6 | ′ MLP[1] |
7 | TP[1][t]Max[0,EP[1][t]+INSP[1][t]+ISSP[1][t]+RP[1][t]+SP[1][t]] |
# | Symbol | Value |
1 | μ1TP | 1 45625 |
2 | μ1ISSP | 0.035 aip[1] |
3 | μ1INSP | 0.01 aip[1] |
4 | β[1][ISSP] | 6 |
5 | β[1][INSP] | 3 |
6 | aip[1] | 28 |
7 | aincp[1] | 6 |
8 | sspf[1][SP] | 0.2 |
9 | lpcr[1][ISSP,INSP] | 600 |
# | Equation |
1 | SP[1][0]99998 |
2 | EP[1][0]0 |
3 | ISSP[1][0]1 |
4 | INSP[1][0]1 |
5 | RP[1][0]0 |
6 | MLP[1][0]0 |
7 | TP[1][0]100000 |
0 | 623 |
224 | 0 |
# | Equation |
1 | ′ SP[1] 623SP[1][t] TP[1][t] 224SP[2][t] TP[2][t] SP[1][t] 45625 3INSP[1][t]SP[1][t] TP[1][t] 6ISSP[1][t]SP[1][t] TP[1][t] |
2 | ′ EP[1] 623EP[1][t] TP[1][t] 224EP[2][t] TP[2][t] 45631EP[1][t] 273750 3INSP[1][t]SP[1][t] TP[1][t] 6ISSP[1][t]SP[1][t] TP[1][t] |
3 | ′ INSP[1] 623INSP[1][t] TP[1][t] 224INSP[2][t] TP[2][t] |
4 | ′ ISSP[1] |
5 | ′ RP[1] 623RP[1][t] TP[1][t] 224RP[2][t] TP[2][t] 1 28 RP[1][t] 45625 |
6 | ′ MLP[1] |
7 | TP[1][t]Max[0,EP[1][t]+INSP[1][t]+ISSP[1][t]+RP[1][t]+SP[1][t]] |
8 | ′ SP[2] 623SP[1][t] TP[1][t] 224SP[2][t] TP[2][t] SP[2][t] 45625 3INSP[2][t]SP[2][t] TP[2][t] 6ISSP[2][t]SP[2][t] TP[2][t] |
9 | ′ EP[2] 623EP[1][t] TP[1][t] 224EP[2][t] TP[2][t] 45631EP[2][t] 273750 3INSP[2][t]SP[2][t] TP[2][t] 6ISSP[2][t]SP[2][t] TP[2][t] |
10 | ′ INSP[2] 623INSP[1][t] TP[1][t] 224INSP[2][t] TP[2][t] |
11 | ′ ISSP[2] |
12 | ′ RP[2] 623RP[1][t] TP[1][t] 224RP[2][t] TP[2][t] 1 28 RP[2][t] 45625 |
13 | ′ MLP[2] |
14 | TP[2][t]Max[0,EP[2][t]+INSP[2][t]+ISSP[2][t]+RP[2][t]+SP[2][t]] |
0 | 623Abs[Sin[0.0679462t]] |
224Abs[Sin[0.0730582t]] | 0 |