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

Latest revision as of 15:35, 30 October 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}}

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in defining formula

t

symbol represents

Time

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N_{R}

symbol represents

Number of Regions

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i

symbol represents

Number Of Infected Cities

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s

symbol represents

Susceptible Cities

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P

symbol represents

Number of Cities

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G

symbol represents

Contact Network

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\alpha (t)

symbol represents

Spreading Rate (Time-dependent)

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m

symbol represents

Region

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n

symbol represents

Region

0 references

Contains Formulation

Conservation of City Numbers

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Susceptible Cities ODE

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community

MathModDB

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@@ Property / instance of / Property / instance of @@
-mathematical formulation
+Mathematical Formulation
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: Time
@@ Property / in defining formula: $t$ / qualifier @@
-symbol represents: time
@@ 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 / 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 / Contains Formulation @@
+Conservation of City Numbers
@@ Property / Contains Formulation: Conservation of City Numbers / rank @@
+Normal rank
@@ Property / Contains Formulation @@
+Susceptible Cities ODE
@@ Property / Contains Formulation: Susceptible Cities ODE / rank @@
+Normal rank
@@ Property / community @@
+MathModDB
@@ Property / community: MathModDB / rank @@
+Normal rank

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

$\alpha (t)$

$m$

$n$

Latest revision as of 15:35, 30 October 2024

Statements

Sitelinks

mathematics(0 entries)

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

α ( t ) {\displaystyle \alpha (t)}

m {\displaystyle m}

n {\displaystyle n}

Latest revision as of 15:35, 30 October 2024

Statements

Sitelinks

mathematics(0 entries)

$\alpha (t)$

$m$

$n$