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module.py
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import os
import sys
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
from scipy.integrate import odeint
import plotly.graph_objects as go
import plotly.io as pio
import requests
from lmfit import minimize, Parameters, Parameter, report_fit
pio.renderers.default = "notebook"
plt.style.use('ggplot')
# Jupyter Specifics
from IPython.display import HTML
from ipywidgets.widgets import interact, IntSlider, FloatSlider, Layout, ToggleButton
style = {'description_width': '100px'}
slider_layout = Layout(width='99%')
def ode_model(z, t, beta, sigma, gamma):
"""
Reference https://www.idmod.org/docs/hiv/model-seir.html
"""
S, E, I, R = z
N = S + E + I + R
dSdt = -beta*S*I/N
dEdt = beta*S*I/N - sigma*E
dIdt = sigma*E - gamma*I
dRdt = gamma*I
return [dSdt, dEdt, dIdt, dRdt]
def ode_solver(t, initial_conditions, params):
initE, initI, initR, initN = initial_conditions
beta, sigma, gamma = params['beta'].value, params['sigma'].value, params['gamma'].value
initS = initN - (initE + initI + initR)
res = odeint(ode_model, [initS, initE, initI, initR], t, args=(beta, sigma, gamma))
return res
response = requests.get('https://api.rootnet.in/covid19-in/stats/history')
covid_history = response.json()['data']
keys = ['day', 'total', 'confirmedCasesIndian', 'confirmedCasesForeign', 'confirmedButLocationUnidentified',
'discharged', 'deaths']
df_covid_history = pd.DataFrame([[d.get('day'),
d['summary'].get('total'),
d['summary'].get('confirmedCasesIndian'),
d['summary'].get('confirmedCasesForeign'),
d['summary'].get('confirmedButLocationUnidentified'),
d['summary'].get('discharged'),
d['summary'].get('deaths')]
for d in covid_history],
columns=keys)
df_covid_history = df_covid_history.sort_values(by='day')
df_covid_history['infected'] = df_covid_history['total'] - df_covid_history['discharged'] - df_covid_history['deaths']
df_covid_history['total_recovered_or_dead'] = df_covid_history['discharged'] + df_covid_history['deaths']
# ref: https://www.medrxiv.org/content/10.1101/2020.04.01.20049825v1.full.pdf
initN = 1380000000
# S0 = 966000000
initE = 1000
initI = 47
initR = 0
sigma = 1/5.2
gamma = 1/2.9
R0 = 4
beta = R0 * gamma
days = 112
def F():
def ode_model(z, t, beta, sigma, gamma):
"""
Reference https://www.idmod.org/docs/hiv/model-seir.html
"""
S, E, I, R = z
N = S + E + I + R
dSdt = -beta*S*I/N
dEdt = beta*S*I/N - sigma*E
dIdt = sigma*E - gamma*I
dRdt = gamma*I
return [dSdt, dEdt, dIdt, dRdt]
def ode_solver(t, initial_conditions, params):
initE, initI, initR, initN = initial_conditions
beta, sigma, gamma = params['beta'].value, params['sigma'].value, params['gamma'].value
initS = initN - (initE + initI + initR)
res = odeint(ode_model, [initS, initE, initI, initR], t, args=(beta, sigma, gamma))
return res
response = requests.get('https://api.rootnet.in/covid19-in/stats/history')
covid_history = response.json()['data']
keys = ['day', 'total', 'confirmedCasesIndian', 'confirmedCasesForeign', 'confirmedButLocationUnidentified',
'discharged', 'deaths']
df_covid_history = pd.DataFrame([[d.get('day'),
d['summary'].get('total'),
d['summary'].get('confirmedCasesIndian'),
d['summary'].get('confirmedCasesForeign'),
d['summary'].get('confirmedButLocationUnidentified'),
d['summary'].get('discharged'),
d['summary'].get('deaths')]
for d in covid_history],
columns=keys)
df_covid_history = df_covid_history.sort_values(by='day')
df_covid_history['infected'] = df_covid_history['total'] - df_covid_history['discharged'] - df_covid_history['deaths']
df_covid_history['total_recovered_or_dead'] = df_covid_history['discharged'] + df_covid_history['deaths']
# ref: https://www.medrxiv.org/content/10.1101/2020.04.01.20049825v1.full.pdf
initN = 1380000000
# S0 = 966000000
initE = 1000
initI = 47
initR = 0
sigma = 1/5.2
gamma = 1/2.9
R0 = 4
beta = R0 * gamma
days = 112
params = Parameters()
params.add('beta', value=beta, min=0, max=10)
params.add('sigma', value=sigma, min=0, max=10)
params.add('gamma', value=gamma, min=0, max=10)
def main(initE, initI, initR, initN, beta, sigma, gamma, days, param_fitting):
initial_conditions = [initE, initI, initR, initN]
params['beta'].value, params['sigma'].value,params['gamma'].value = [beta, sigma, gamma]
tspan = np.arange(0, days, 1)
sol = ode_solver(tspan, initial_conditions, params)
S, E, I, R = sol[:, 0], sol[:, 1], sol[:, 2], sol[:, 3]
# Create traces
fig = go.Figure()
if not param_fitting:
fig.add_trace(go.Scatter(x=tspan, y=S, mode='lines+markers', name='Susceptible'))
fig.add_trace(go.Scatter(x=tspan, y=E, mode='lines+markers', name='Exposed'))
fig.add_trace(go.Scatter(x=tspan, y=I, mode='lines+markers', name='Infected'))
fig.add_trace(go.Scatter(x=tspan, y=R, mode='lines+markers',name='Recovered'))
if param_fitting:
fig.add_trace(go.Scatter(x=tspan, y=df_covid_history.infected, mode='lines+markers',\
name='Infections Observed', line = dict(dash='dash')))
fig.add_trace(go.Scatter(x=tspan, y=df_covid_history.total_recovered_or_dead, mode='lines+markers',\
name='Recovered/Deceased Observed', line = dict(dash='dash')))
if days <= 30:
step = 1
elif days <= 90:
step = 7
else:
step = 30
# Edit the layout
fig.update_layout(title='Simulation of SEIR Model',
xaxis_title='Day',
yaxis_title='Counts',
title_x=0.5,
width=900, height=600
)
fig.update_xaxes(tickangle=-90, tickformat = None, tickmode='array', tickvals=np.arange(0, days + 1, step))
if not os.path.exists("images"):
os.mkdir("images")
fig.show()
observed_IR = df_covid_history.loc[:, ['infected', 'total_recovered_or_dead']].values
tspan_fit_pred = np.arange(0, observed_IR.shape[0], 1)
#params['beta'].value = result.params['beta'].value
#params['sigma'].value = result.params['sigma'].value
#params['gamma'].value = result.params['gamma'].value
fitted_predicted = ode_solver(tspan_fit_pred, initial_conditions, params)
fitted_predicted_IR = fitted_predicted[:, 2:4]
print("Fitted MAE")
print('Infected: ', np.mean(np.abs(fitted_predicted_IR[:days, 0] - observed_IR[:days, 0])))
print('Recovered/Deceased: ', np.mean(np.abs(fitted_predicted_IR[:days, 1] - observed_IR[:days, 1])))
print("\nFitted RMSE")
print('Infected: ', np.sqrt(np.mean((fitted_predicted_IR[:days, 0] - observed_IR[:days, 0])**2)))
print('Recovered/Deceased: ', np.sqrt(np.mean((fitted_predicted_IR[:days, 1] - observed_IR[:days, 1])**2)))
interact(main, initE=IntSlider(min=0, max=100000, step=1, value=initE, description='initE', style=style, \
layout=slider_layout),
initI=IntSlider(min=0, max=100000, step=1, value=initI, description='initI', style=style, \
layout=slider_layout),
initR=IntSlider(min=0, max=100000, step=1, value=initR, description='initR', style=style, \
layout=slider_layout),
initN=IntSlider(min=0, max=1380000000, step=10, value=initN, description='initN', style=style, \
layout=slider_layout),
beta=FloatSlider(min=0, max=4, step=0.0001, value=beta, description='Infection rate', style=style, \
layout=slider_layout),
sigma=FloatSlider(min=0, max=4, step=0.0001, value=sigma, description='Incubation rate', style=style, \
layout=slider_layout),
gamma=FloatSlider(min=0, max=4, step=0.0001, value=gamma, description='Recovery rate', style=style, \
layout=slider_layout),
days=IntSlider(min=0, max=600, step=7, value=days, description='Days', style=style, \
layout=slider_layout),
param_fitting=ToggleButton(value=False, description='Fitting Mode', disabled=False, button_style='', \
tooltip='Click to show fewer plots', icon='check-circle')
);
#return