Effects of Masks on Covid Spread

Effects of Masks on Covid Spread preview image

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Default-person Alex Brown (Author)

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globals [
  max-infected
  cumulative-output
  daily-delta
  total-infected
  avg-daily-delta
  total-delta
  moving-average
  day-1
  day-2
  day-3
  day-4
  day-5
  transmissibility
]


turtles-own[
  infected?
  immune?
  mask?
  dead?
]

to setup
  clear-all
  set-patch-size (275 / max-pxcor)
  setup-turtles
  setup-infected
  setup-unmasked
  set max-infected (count turtles with [infected?])
  set cumulative-output (0)
  set transmissibility (1)
  reset-ticks
end 

to setup-turtles
  create-turtles num-people [
    set color blue
    set shape "person"
    set size 2
    set infected? false
    set immune? false
    set mask? true
    set dead? false
    setxy random-pxcor random-pycor
  ]
end 

to setup-unmasked
  ask n-of ((percent-unmasked / 100) * num-people) turtles [
    set color white
    set mask? false
  ]
end 

to setup-infected
  ask n-of init-infected turtles [
   set infected? true
    ifelse mask?
      [set color red]
      [set color orange]
  ]
end 

to go
  ;;stop if everyone or noone is infected
  ;;if (count turtles with [infected? and not dead?] = 0)
  ;;or (count turtles with [infected?] = num-people)

  infect-susceptibles
  recover-infected
  death
  recolor
  move-normal
  calculate-max-infected
  calculate-daily-delta
  if ticks > 0
  [calculate-avg-daily-delta]
  calculate-total-infected
  recolor
  calculate-moving-average

  tick
end 

to infect-susceptibles ;; S -> I
   ask turtles with [not infected? and not immune?][
    let infected-masked-neighbors (count turtles-here with [infected? and mask?])
    if (random-float 1 <  1 - (((1 - masked-transmissibility) ^ infected-masked-neighbors)))
    [set infected? true]
    let infected-neighbors (count turtles-here with [infected? and not mask?])
    if (random-float 1 <  1 - (((1 - transmissibility) ^ infected-neighbors)))
    [set infected? true]
   ;let infected-neighbors (count other turtles with [infected?] in-radius 1)
  ; if (random-float 1 <  1 - (((1 - transmissibility) ^ infected-neighbors)) and not immune?)
   ;[set infected? true]
]
end 

to recolor
  ask turtles with [infected? and not dead? and mask?]
  [ set color red]
  ask turtles with [infected? and not dead? and not mask?]
  [ set color orange]
  ask turtles with [mask? and not infected?]
  [set color blue]
  ask turtles with [not mask? and not infected?]
  [set color white]
  ask turtles with [immune?]
  [set color gray]
  ask turtles with [dead?]
  [ set color pink]
end 

to move-normal

  ask turtles with [not dead?] [
    right random 360 ;;get a new random heading
    forward random sociability
  ]
end 

to recover-infected ;;I -> R

  ;;avg case length is 2 weeks.
  ;;should have 50% chance of becoming immune at 2 weeks
  ;;if we are saying each tick equals 1 day,
  ;;daily odds of recovering should be (1-x)^14=.5, x= 0.0483


  ask turtles with [infected? and not dead?]
  [
    if random-float 1 < 0.0483
    [
      set infected? false
      ifelse are-survivors-immune?
      [
        set immune? true
        set color gray
      ]
      [set color white]
    ]
  ]
end 

to death
  ;;avg case length is 2 weeks.
  ;;1% of infected die,
  ;;if we are saying each tick equals 1 day,
  ;;and 1% of sick patients should be dead at 2 weeks
  ;;daily mortality should be (1-x)^14=.99, x= 0.000717624
  ask turtles with [infected?]
  [
    if random-float 1 < 0.000717624
    [set dead? true
    set color pink
    set infected? false
    ]
  ]
end 

to calculate-max-infected
  let x (count turtles with [infected? and not dead?])
  if x > max-infected
  [set max-infected x]
end 

to calculate-total-infected
  set total-infected ((count turtles with [infected? and not dead?]))
end 

to calculate-daily-delta
  set daily-delta (count turtles with [infected? and not dead?] - total-infected)
end 

to calculate-avg-daily-delta
  let y (daily-delta)
  set total-delta (total-delta + y)
  set avg-daily-delta (total-delta / ticks)
end 

to calculate-moving-average

  set day-1 (day-2)
  set day-2 (day-3)
  set day-3 (day-4)
  set day-4 (day-5)
  set day-5 (daily-delta)
 if (ticks > 4) [
  set moving-average ((day-1 + day-2 + day-3 + day-4 + day-5) / 5)
  ]
end 

to-report total-adjusted-output
  report cumulative-output / (num-people * 2 * (ticks))
end 

to-report max-infected-prop
  report max-infected / num-people
end 

to-report prop-dead
  let y (count turtles with [dead?])
  report y / num-people
end 

to-report prop-uninfected
  report (count turtles with [not infected? and not immune?]) / num-people
end 

There is only one version of this model, created over 4 years ago by Alex Brown.

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