Susceptible Infectious Epidemic Spreading ODE System (Q3813): Difference between revisions

Latest revision as of 14:57, 4 December 2024

formulations describing the spreading in a susceptible infectious epidemic model on a network with time-dependent spreading rate

Language	Label	Description	Also known as
English	Susceptible Infectious Epidemic Spreading ODE System	formulations describing the spreading in a susceptible infectious epidemic model on a network with time-dependent spreading rate

Statements

instance of

mathematical expression

0 references

defining formula

\begin{matrix} \frac{d s_{m} (t)}{d t} & = - s_{m} (t) * α (t) \sum_{n = 1}^{N_{R}} G_{m, n} * i_{n} (t) \\ i_{m} (t) & = P_{m} - s_{m} (t) \end{matrix}

0 references

in defining formula

t

symbol represents

time

0 references

N_{R}

symbol represents

Number of Regions

0 references

i

symbol represents

Number Of Infected Cities

0 references

s

symbol represents

Susceptible Cities

0 references

P

symbol represents

Number of Cities

0 references

G

symbol represents

Contact Network

0 references

α (t)

symbol represents

Spreading Rate (Time-dependent)

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m

symbol represents

Region

0 references

n

0 references

0 references

Conservation of City Numbers

object has role

mathematical expression

0 references

Susceptible Cities ODE

object has role

mathematical expression

0 references

@@ Property / instance of / Property / instance of @@
-mathematical formulation
+mathematical expression
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: time
@@ Property / in defining formula: $t$ / qualifier @@
-symbol represents: time
@@ Property / in defining formula / Property / in defining formula @@
- $i_{m} (t)$ 
i_m(t)
+ $i$ 
i
@@ Property / in defining formula @@
- $i_{n} (t)$ 
i_n(t)
@@ Property / in defining formula: $i_{n} (t)$ / rank @@
-Normal rank
@@ Property / in defining formula: $i_{n} (t)$ / qualifier @@
-symbol represents: Number Of Infected Cities
@@ 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 @@
+ $P$ 
P
@@ Property / in defining formula: $P$ / rank @@
+Normal rank
@@ Property / in defining formula: $P$ / qualifier @@
+symbol represents: Number of 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 @@
+ $α (t)$ 
\alpha(t)
@@ Property / in defining formula: $α (t)$ / rank @@
+Normal rank
@@ Property / in defining formula: $α (t)$ / qualifier @@
+symbol represents: Spreading Rate (Time-dependent)
@@ Property / in defining formula @@
+ $m$ 
m
@@ Property / in defining formula: $m$ / rank @@
+Normal rank
@@ Property / in defining formula: $m$ / qualifier @@
+symbol represents: Region
@@ Property / in defining formula @@
+ $n$ 
n
@@ Property / in defining formula: $n$ / rank @@
+Normal rank
@@ Property / in defining formula: $n$ / qualifier @@
+symbol represents: Region
@@ Property / community @@
+MathModDB
@@ Property / community: MathModDB / rank @@
+Normal rank
@@ Property / contains @@
+Conservation of City Numbers
@@ Property / contains: Conservation of City Numbers / rank @@
+Normal rank
@@ Property / contains: Conservation of City Numbers / qualifier @@
+object has role: mathematical expression
@@ Property / contains @@
+Susceptible Cities ODE
@@ Property / contains: Susceptible Cities ODE / rank @@
+Normal rank
@@ Property / contains: Susceptible Cities ODE / qualifier @@
+object has role: mathematical expression

Susceptible Infectious Epidemic Spreading ODE System (Q3813): Difference between revisions

Shehu (talk | contribs)

$i_{m} (t)$

$i$

$i_{n} (t)$

$s$

$P$

$G$

$α (t)$

$m$

$n$

Latest revision as of 14:57, 4 December 2024

Statements

Sitelinks

mathematics(0 entries)

Susceptible Infectious Epidemic Spreading ODE System (Q3813): Difference between revisions

Shehu (talk | contribs)

im(t)

i

in(t)

s

P

G

α(t)

m

n

Latest revision as of 14:57, 4 December 2024

Statements

Sitelinks

mathematics(0 entries)

$i_{m} (t)$

$i$

$i_{n} (t)$

$s$

$P$

$G$

$α (t)$

$m$

$n$