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CMakeLists.txt
CMakeLists.txt
 
 
README.md
README.md
 
 
infection_state.h
infection_state.h
 
 
model.cpp
model.cpp
 
 
model.h
model.h
 
 
parameters.h
parameters.h
 
 

README.md

ODE MSEIRS4 Model

Implementation of the MSEIRS4 model (maternal immunity + susceptible stages S1-S4 + exposed, infectious, recovered stages with four parallel infection/recovery classes). This model is designed for Respiratory Syncytial Virus (RSV) and is based on:

  • Weber A, Weber M, Milligan P. (2001). Modeling epidemics caused by respiratory syncytial virus (RSV). Mathematical Biosciences 172(2): 95–113. DOI:10.1016/S0025-5564(01)00066-9 <https://doi.org/10.1016/S0025-5564(01)00066-9>_

Meaning of indices 1–4 (S1–S4, E1–E4, I1–I4, R1–R4)

  • S1: fully susceptible after loss of maternal immunity (highest susceptibility).
  • S2: susceptible after first infection (R1 → S2 via waning; reduced susceptibility).
  • S3: susceptible after second infection (R2 → S3).
  • S4: susceptible after ≥3 infections (R3 → S4 and R4 → S4; lowest susceptibility).

Correspondingly, E_k/I_k/R_k represent exposed/infectious/recovered states of the k-th infection episode. All infectious classes (I1..I4) contribute to transmission equally in the basic formulation of the paper.

The model includes seasonality by adjusting the transmission rate with a cosine function.