Host Heterogeneity Model

An SIR type model stratified for two different types of hosts.

simulate_Host_Heterogeneity_Model_ode(
  S1 = 1000,
  I1 = 1,
  R1 = 0,
  S2 = 200,
  I2 = 1,
  R2 = 0,
  b11 = 0.002,
  b12 = 0,
  b21 = 0,
  b22 = 0.01,
  g1 = 1,
  g2 = 1,
  w1 = 0,
  w2 = 0,
  tstart = 0,
  tfinal = 60,
  dt = 0.1
)

Arguments

S1

: starting value for Susceptible type 1 hosts : numeric

I1

: starting value for Infected type 1 hosts : numeric

R1

: starting value for Recovered type 1 hosts : numeric

S2

: starting value for Susceptible type 2 hosts : numeric

I2

: starting value for Infected type 2 hosts : numeric

R2

: starting value for Recovered type 2 hosts : numeric

b11

: rate of transmission to susceptible type 1 host from infected type 1 host : numeric

b12

: rate of transmission to susceptible type 1 host from infected type 2 host : numeric

b21

: rate of transmission to susceptible type 2 host from infected type 1 host : numeric

b22

: rate of transmission to susceptible type 2 host from infected type 2 host : numeric

g1

: the rate at which infected type 1 hosts recover : numeric

g2

: the rate at which infected type 2 hosts recover : numeric

w1

: the rate at which type 1 host immunity wanes : numeric

w2

: the rate at which type 2 host immunity wanes : numeric

tstart

: Start time of simulation : numeric

tfinal

: Final time of simulation : numeric

dt

: Time step : numeric

Value

The function returns the output as a list. The time-series from the simulation is returned as a dataframe saved as list element ts. The ts dataframe has one column per compartment/variable. The first column is time.

Details

This model tracks susceptibles, infected and recovered of 2 different types. Think of those types as e.g. males/females, children/adults, etc. The model includes infection, recovery and waning immunity processes for both hosts.

This code was generated by the modelbuilder R package. The model is implemented as a set of ordinary differential equations using the deSolve package. The following R packages need to be loaded for the function to work: deSolve.

Warning

This function does not perform any error checking. So if you try to do something nonsensical (e.g. have negative values for parameters), the code will likely abort with an error message.

Model Author

Andreas Handel, Alexis Vittengl

Model creation date

2020-10-05

Code Author

generated by the modelbuilder R package

Code creation date

2021-07-19

Examples

 
# To run the simulation with default parameters:  
result <- simulate_Host_Heterogeneity_Model_ode() 
# To choose values other than the standard one, specify them like this:  
result <- simulate_Host_Heterogeneity_Model_ode(S1 = 2000,I1 = 2,R1 = 0,S2 = 400,I2 = 2,R2 = 0) 
# You can display or further process the result, like this:  
plot(result$ts[,'time'],result$ts[,'S1'],xlab='Time',ylab='Numbers',type='l') 

print(paste('Max number of S1: ',max(result$ts[,'S1']))) 
#> [1] "Max number of S1:  2000"