Journal of Biological Dynamics
We propose a deterministic compartmental model for cholera dynamics in periodic environments. The model incorporates seasonal variation into a general formulation for the incidence (or, force of infection) and the pathogen concentration. The basic reproduction number of the periodic model is derived, based on which a careful analysis is conducted on the epidemic and endemic dynamics of cholera. Several specific examples are presented to demonstrate this general model, and numerical simulation results are used to validate the analytical prediction.
Original Publication Citation
Posny, D., & Wang, J. (2014). Modelling cholera in periodic environments. Journal of Biological Dynamics, 8(1), 1-19. doi:10.1080/17513758.2014.896482
Posny, Drew and Wang, Jin, "Modelling Cholera in Periodic Environments" (2014). Mathematics & Statistics Faculty Publications. 49.