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

Revision as of 09:07, 18 September 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 formulation

0 references

defining formula

{\begin{aligned}{\frac {ds_{m}(t)}{dt}}&=-s_{m}(t)*\alpha (t)\sum _{n=1}^{N_{R}}G_{m,n}*i_{n}(t)\\i_{m}(t)&=P_{m}-s_{m}(t)\end{aligned}}

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

\alpha (t)

symbol represents

Spreading Rate (Time-dependent)

0 references

contains

Susceptible Cities ODE

object has role

formula

0 references

Conservation of City Numbers

object has role

formula

0 references

@@ 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 @@
+ $s$ 
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 @@
+ $\alpha (t)$ 
\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 / contains @@
+Susceptible Cities ODE
@@ Property / contains: Susceptible Cities ODE / rank @@
+Normal rank
@@ Property / contains: Susceptible Cities ODE / qualifier @@
+object has role: formula
@@ 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: formula

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

$i$

$s$

$P$

$G$

$\alpha (t)$

Revision as of 09:07, 18 September 2024

Statements

Sitelinks

mathematics(0 entries)

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

i {\displaystyle i}

s {\displaystyle s}

P {\displaystyle P}

G {\displaystyle G}

α ( t ) {\displaystyle \alpha (t)}

Revision as of 09:07, 18 September 2024

Statements

Sitelinks

mathematics(0 entries)

$i$

$s$

$P$

$G$

$\alpha (t)$