renewal_plot: Plot the solution to the renewal equation solution for...

In pspc-data-science/branchsim: Gamma negative binomial branching process simulation of epidemics

Description

This function plots the numerical soution to the renewal equation for a CMJ process using the properties of the triple (λ_{χ}, ξ_χ, χ). See appendix C of Branching Processes in Biology by Kimmel and Axelrod for more details. Z = G(t) + \int_0^t Z(t - u)\,mu(du)

Usage

renewal_plot(
  Lambda = 0.11,
  mu = 1.5,
  A = 5.5,
  B = 0.85,
  Time = 100,
  type = "Total"
)

Arguments

Lambda	The arrival rate of infectious interactions.
mu	The average number infected per infectious interaction
A	The shape parameter of the communicable preiod gamma function.
B	The rate parameter of the communicable preiod gamma function.
Time	The end of the time interval of interest [0,T].
type	The type or random characteristic Total for total infected Infectious for currently infected

Value

A plot showing the solution of the renewal equation with the malthusian parameter.

pspc-data-science/branchsim documentation built on Jan. 19, 2021, 10:10 a.m.