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Simulation Concept (Esteban)

  • From the original simulation method
    • Random walks
    • Independence between spheres
    • Infection by contact
    • Change of direction after the contact (opposite direction)
    • No smaller closed blocks (representing closed environment such as home / institutions etc)
  • Our simulation method
    • Dependence between certain spheres with some others
    • Directed walks (ex: work) AND random walks (hobbies)
    • BUT the walks are constrained by an environment (existence of « building » , creation of « roads »)
    • Infection by being next to someone else (no contact necessary) and depending on a certain probability
      • We could maybe implement a chance distribution with contact higher chance and then decreasing chance with increasing distance
    • And I forgot to mention something important : in the base model, all spheres fully recover after a time t (based population = final population) but in our model we need to take into account the fact that people die (based population > final population).
    • No change in direction after the infection
    • Creation of a sort of hospital with a fixed capacity? (Need to think on how it should work)
    • Disease growth rate curve displayed in the same time
  • What we need to determine:
    • The probability to get infected after a contact
    • The probability of death
    • Disease duration (at least an estimation)
    • The time during which a person can infect someone else
    • An average on how many people a patient infect during the first phase of the disease
  • Our assumptions
    • Focused on a specific system / country or worldwide? (Health systems are different between countries)
    • The number of dependence between spheres (taking into account « family » , « work », « friends », « everyday routine activity »)
      • We could maybe use graph theory to generate such kind of relationships
  • Pros
    • General simulation system that can be used later for another pandemic by changing some parameters
    • More accurate
  • Cons
    • Computationally demanding ? (Need to create a map of size M, with a population of size P …)

Features So Far

  • Population of 100 (can be changed) in a rectangle area
  • Each collision has a probability of 50% to transmit the virus (can also be changed)
  • There is a hospital in the middle (red circle) with a capacity of 20 patients (20% of the population, can be changed)
  • We begin with a 20-years-old infected, the others have random ages
  • When two people collide, they go away in opposites directions
  • People goes to the hospital when the incubation period is finished and there is room for them
  • Once in the hospital, people heal faster with a lower probability of dying
  • In the initial population, there are 40 doctors that are able to go in the hospital. Other healthy people are not allowed to go inside.
  • Dead people are still visible but don't collide, don't move and don't transmit the virus