Statistical Analysis of Epidemiological Data
Example Prompt:
Example Response:
library(ggplot2)
library(dplyr)
data <- read.csv('path_to_your_file.csv')
head(data)
summary(data)
data$date <- as.Date(data$date)
monthly_data <- data %>%
group_by(month = format(date, '%Y-%m')) %>%
summarise(average_incidence = mean(disease_incidence))
model <- lm(average_incidence ~ month, data = monthly_data)
summary(model)
ggplot(monthly_data, aes(x = month, y = average_incidence)) +
geom_line() +
geom_smooth(method = 'lm', col = 'red') +
labs(title = 'Trends in Disease Incidence', x = 'Month', y = 'Average Incidence')
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Drafting Epidemiological Reports
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Creating Public Health Messages
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Developing Epidemiological Models
Example Prompt:
Example Response:
import numpy as np
import matplotlib.pyplot as plt
from scipy.integrate import odeint
# SIR model differential equations.
def deriv(y, t, N, beta, gamma):
S, I, R = y
dSdt = -beta * S * I / N
dIdt = beta * S * I / N - gamma * I
dRdt = gamma * I
return dSdt, dIdt, dRdt
# Initial conditions: S0, I0, R0.
N = 1000 # Total population
I0 = 1 # Initial number of infected individuals
R0 = 0 # Initial number of recovered individuals
S0 = N - I0 - R0 # Everyone else is susceptible to infection
# Contact rate and mean recovery rate (in 1/days).
beta = 0.3 # Transmission rate
gamma = 0.1 # Recovery rate
# A grid of time points (in days).
t = np.linspace(0, 160, 160)
# Initial conditions vector.
y0 = S0, I0, R0
# Integrate the SIR equations over the time grid, t.
ret = odeint(deriv, y0, t, args=(N, beta, gamma))
S, I, R = ret.T
# Plot the data on three separate curves for S(t), I(t) and R(t)
plt.figure(figsize=(10, 6))
plt.plot(t, S, 'b', label='Susceptible')
plt.plot(t, I, 'r', label='Infected')
plt.plot(t, R, 'g', label='Recovered')
plt.title('SIR Model of Viral Infection Spread')
plt.xlabel('Days')
plt.ylabel('Number of Individuals')
plt.legend(loc='best')
plt.grid()
plt.show()
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