Python simulated Login, numpy module, python simulated epidemic spread
2022-01-30 00:48:37 【Dai mubai】
This article has participated in 「 Digging force Star Program 」
First of all, it must be stated that this is only a fictional example , Not a real event .
Before that zulko See some examples of dynamic visualization of data , It's fun , So there is today's article .
Part of the content is from maxberggren.
Let's start happily ~~~
Effect display ：
The population density map of Nordic countries is used as an example , Stockholm was the first source of infection .
For the specific implementation process, see the introduction of the home page to obtain the source code in the relevant files .
**Python edition ：**3.6.4
Related modules ：
numpy modular ;
matplotlib modular ;
PIL modular ;
As well as some Python Built in modules .
install Python And add to environment variable ,pip Install the relevant modules required .
Introduction of the principle
Virus transmission model ：
This paper adopts SIR Model , The core formula is ：
Parameter interpretation ：
among ,S Represents susceptible people ;I Represents the number of infected groups or zombies ;R Represents the amount of removal , That is, those who die or return to health .
β Indicates the infectious degree of the disease ;γ Indicates the rate of progression from infection to death .
S' Tell us the rate at which healthy people become zombies ;I' Tell us how infected people increase and the rate at which zombies enter the removal state ;R' Just add parameters γ Of I.
consider S/I/R After spatial distribution, it is modified as follows ：
Now we know u', So the prediction function u The calculation of can be approximated by Euler method , The following is derived ：
author[Dai mubai],Please bring the original link to reprint, thank you.
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