The purpose of this work
- proof SIQR model is working and make sense.
- correlation between disease contagion and population size of each social meeting
Rules
- It is a semi-mean field model -> no? yes?
- SIQR model (susceptible, Quarantined, infectious, recovered)
- People meet each other with group.
- the size of the groups varies. 2,3,4...
- the rate to meet ezach other is in proportion to the distance(not linear)
- the distance among population means their difference of index number
- the size of each group meeting is random, but decreases when the total number of infectious is large
- (do later) total number of people who meet other people decreases when the total number of infectious is large.
- If there are infectious in the group meetings, susceptible in the group got probability to be exposed.
- when infectious peoples detected, the group of people they met are converted to Quarantined state.
- also, the detected Infectious are also be quarantined.
- so, there are two types of quarantined people.
susceptible-Quarantined, and infectious-Quarantined.
Algorithm
- the day start
- making groups. size 2 to X (should make algorithm)
- In one day, one person can participate one group
- for each group, if there are infectiouses, calculate susceptible -> exposed
- day end
- after day end, perform I -> R (this speed is consistant)
- after day end, perform S -> I (this speed is consistant)
- every day infectiouses have chance to be detected by quarantine authorities.(fixed rate)
- Detected infectiouses are quarantined and cannot get into social group before they converted into R