Susceptible Cities ODE (Q3820): Difference between revisions

@@ Property / instance of / Property / instance of @@
-mathematical formulation
+Mathematical Formulation
@@ Property / defining formula @@
+ ${\frac {ds_{m}(t)}{dt}}=-s_{m}(t)*\alpha (t)\sum _{n=1}^{N_{R}}G_{m,n}*i_{n}(t)$ 
\frac{ds_m(t)}{dt} = -s_m(t) * \alpha(t) \sum_{n=1}^{N_R} G_{m,n} * i_n(t)
+Normal rank
@@ Property / in defining formula @@
+ $t$ 
t
@@ Property / in defining formula: $t$ / rank @@
+Normal rank
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: time
@@ Property / in defining formula @@
+ $s$ 
s
@@ Property / in defining formula: $s$ / rank @@
+Normal rank
@@ Property / in defining formula: $s$ / qualifier @@
+symbol represents: Susceptible Cities
@@ Property / in defining formula @@
+ $i$ 
i
@@ Property / in defining formula: $i$ / rank @@
+Normal rank
@@ Property / in defining formula: $i$ / qualifier @@
+symbol represents: Number Of Infected Cities
@@ Property / in defining formula @@
+ $G$ 
G
@@ Property / in defining formula: $G$ / rank @@
+Normal rank
@@ Property / in defining formula: $G$ / qualifier @@
+symbol represents: Contact Network
@@ Property / in defining formula @@
+ $N_{R}$ 
N_R
@@ Property / in defining formula: $N_{R}$ / rank @@
+Normal rank
@@ Property / in defining formula: $N_{R}$ / qualifier @@
+symbol represents: Number of Regions
@@ Property / in defining formula @@
+ $\alpha (t)$ 
\alpha(t)
@@ Property / in defining formula: $\alpha (t)$ / rank @@
+Normal rank
@@ Property / in defining formula: $\alpha (t)$ / qualifier @@
+symbol represents: Spreading Rate (Time-dependent)
@@ Property / community @@
+MathModDB
@@ Property / community: MathModDB / rank @@
+Normal rank

Susceptible Cities ODE (Q3820): Difference between revisions

${\frac {ds_{m}(t)}{dt}}=-s_{m}(t)\alpha (t)\sum _{n=1}^{N_{R}}G_{m,n}i_{n}(t)$

$t$

$s$

$i$

$G$

$N_{R}$

$\alpha (t)$

Latest revision as of 15:33, 30 October 2024

Statements

Sitelinks

mathematics(0 entries)

Susceptible Cities ODE (Q3820): Difference between revisions

d s m ( t ) d t = − s m ( t ) ∗ α ( t ) ∑ n = 1 N R G m , n ∗ i n ( t ) {\displaystyle {\frac {ds_{m}(t)}{dt}}=-s_{m}(t)*\alpha (t)\sum _{n=1}^{N_{R}}G_{m,n}*i_{n}(t)}

t {\displaystyle t}

s {\displaystyle s}

i {\displaystyle i}

G {\displaystyle G}

N R {\displaystyle N_{R}}

α ( t ) {\displaystyle \alpha (t)}

Latest revision as of 15:33, 30 October 2024

Statements

Sitelinks

mathematics(0 entries)

${\frac {ds_{m}(t)}{dt}}=-s_{m}(t)\alpha (t)\sum _{n=1}^{N_{R}}G_{m,n}i_{n}(t)$

$t$

$s$

$i$

$G$

$N_{R}$

$\alpha (t)$