This simulator shows how the 'Herd immunity' develops and what is exactly. At the end of the simulation there are no more infected people and the disease disappears. The remaining people in the lattice never got infected and they will never do because no more disease is present (some news are reporting this is the current technique the UK government wants to apply for the new spreading virus COVID19)
The dots deleted from the lattice can be interpreted in 3 different ways:
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They got killed by the virus
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They had been quarantined
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They healed
Running the script will make a simple animation (in the running folder) called Movie.mp4. If the settings are similar yellow dots will represent infected people and the others healthy people. Play with the parameters. The information of the simulation will be saved in the worlds directory such that analysis can be done afterwards.
2D lattice with spacexspace cells representing the space
Each cell of the grid can be contaminated or not contaminated. After dt iterations a cell is contaminated it comes back to be not contaminated
It starts from a population of npeople people with ninfected infected dots.
People are moving through random walks (dispacement defines the size of the square inside which the dot can move)
If an infected person passes through a not contaminated cell the cell becomes contaminated, if it's already contaminated the timer of the contamination start over
If a person not infected passes through a contaminated cell he has a probability of p_get_infected to get infected
After lifetime timesteps an infected person is deleted from from the grid
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space: number of cells the 2D lattice contains
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p_get_infected: probability that a dot passing through an infected cell becomes infected
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lifetime: number of iterations an infected dot passes before being removed from the lattice
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npeople: number of dots contained in the lattice
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dt: number of iterations a cell can infect the dots
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T: maximum time that will be spent
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ninfected: starting number of infected dots
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displacement: number of cells in each dimension a dot can move