1 Introduction
2 Related work
3 Mobile model and virus spreading model
Symbol | Instructions | Symbol | Instructions |
---|---|---|---|
Ω | Moving space of node (square area) |
ρ
| Distribution density of node |
v
| Node speed |
r(t) | The rate of removed nodes at time t
|
r
| Communication radius of node |
T
| Total simulation time |
dt | The unit time of node moving |
n
0
| The number of initial infected nodes |
N
| The total number of nodes | ∆T
| Contact duration of virus |
I(t) | The number of infected nodes at time t
|
i(t) | The rate of infected nodes at time t
|
S(t) | The number of susceptible nodes at time t
|
s(t) | The rate of susceptible nodes at time t
|
γ
| Recovery probability (I → S) |
β
| Infection probability (S → I) |
μ
| Immune probability (I → R) |
δ
| Immune probability (S → R) |
4 Different virus spreading behaviors
5 Analysis of influence factors
5.1 Contact duration of virus
5.2 Communication radius of node
5.3 The number of initial infected nodes
5.4 Distribution density of node
5.5 Relation between vfs and two parameters: communication radius of node and contact duration of virus
r(m) | ∆T (s) |
N
| Ω (m2) |
ρ = N/Ω |
n
0
|
v
fs(m/s) |
---|---|---|---|---|---|---|
200 | 2000 × 2000 | 5.00 × 10−5
| 3 | 14.0 | ||
100 | 1000√2 × 1000√2 | 5.00 × 10−5
| 3 | 12.5 | ||
300 | 1500 × 1500 | 1.33 × 10−4
| 3 | 14.9 | ||
100 | 500√3 × 500√3 | 1.33 × 10−4
| 3 | 13.3 | ||
40 | 3 | 400 | 2000 × 2000 | 1.00 × 10−4
| 3 | 13.1 |
100 | 1000 × 1000 | 1.00 × 10−4
| 3 | 12.5 | ||
250 | 2000 × 2000 | 6.25 × 10−5
| 2 | 13.4 | ||
250 | 2000 × 2000 | 6.25 × 10−5
| 6 | 12.8 | ||
250 | 2000 × 2000 | 6.25 × 10−5
| 10 | 14.0 | ||
200 | 2000 × 2000 | 5.00 × 10−5
| 3 | 13.3 | ||
100 | 1000√2 × 1000√2 | 5.00 × 10−5
| 3 | 13.6 | ||
300 | 1500 m × 1500 m | 1.33 × 10−4
| 3 | 14.5 | ||
100 | 500√3 × 500√3 | 1.33 × 10−4
| 3 | 13.4 | ||
80 | 6 | 400 | 2000 × 2000 | 1.00 × 10−4
| 3 | 13.1 |
100 | 1000 × 1000 | 1.00 × 10−4
| 3 | 12.8 | ||
300 | 2000 × 2000 | 7.50 × 10−5
| 1 | 14.5 | ||
300 | 2000 × 2000 | 7.50 × 10−5
| 5 | 13.8 | ||
300 | 2000 × 2000 | 7.50 × 10−5
| 9 | 13.0 | ||
150 | 1000 × 1000 | 1.40 × 10−4
| 3 | 15.0 | ||
300 | 1000√2 × 1000√2 | 1.40 × 10−4
| 3 | 14.8 | ||
140 | 500 × 500 | 5.60 × 10−4
| 3 | 15.5 | ||
100 | 500√3 × 500√3 | 5.60 × 10−4
| 3 | 15.1 | ||
60 | 4 | 200 | 2000 × 2000 | 5.00 × 10−5
| 3 | 15.1 |
100 | 1000√2 × 1000√2 | 5.00 × 10−5
| 3 | 14.7 | ||
200 | 1000 × 1000 | 2.00 × 10−4
| 3 | 16.1 | ||
200 | 1000 × 1000 | 2.00 × 10−4
| 6 | 14.2 | ||
200 | 1000 × 1000 | 2.00 × 10−4
| 9 | 15.3 | ||
500 | 3000 × 3000 | 5.56 × 10−5
| 5 | 14.2 | ||
250 | 1500√2 × 1500√2 | 5.56 × 10−5
| 5 | 15.0 | ||
300 | 2000 × 2000 | 7.50 × 10−5
| 5 | 14.6 | ||
150 | 1000√2 × 1000√2 | 7.50 × 10−5
| 5 | 13.8 | ||
30 | 2 | 100 | 400 × 400 | 6.25 × 10−4
| 5 | 14.5 |
400 | 800 × 800 | 6.25 × 10−4
| 5 | 16.3 | ||
200 | 2000 × 2000 | 5.00 × 10−5
| 1 | 14.4 | ||
200 | 2000 × 2000 | 5.00 × 10−5
| 6 | 14.8 | ||
200 | 2000 × 2000 | 5.00 × 10−5
| 11 | 15.2 |
6 Virus spreading behaviors in sis model and sir model
Model | Case | Ω/m2
|
N
|
n
0
|
r/m | ∆T
|
---|---|---|---|---|---|---|
1 | 1000 × 1000 | 200 | 6 | 40 | 2dt | |
2 | 1500 × 1500 | 300 | 10 | 60 | 3dt | |
SIS | 3 | 1000 × 1000 | 200 | 3 | 80 | 4dt |
4 | 1000 × 1000 | 200 | 3 | 60 | 4dt | |
5 | 1000 × 1000 | 200 | 3 | 80 | 3dt | |
1 | 1000 × 1000 | 200 | 3 | 80 | 4dt | |
SIR | 2 | 2000 × 2000 | 300 | 6 | 60 | 3dt |
3 | 1000 × 1000 | 200 | 3 | 40 | 2dt |