Limit periodic solutions of a SEIR mathematical model for non-lethal infectious disease

R. Nistal, M. De la Sen, S. Alonso-Quesada, A. Ibeas
2013 Applied Mathematical Sciences  
The equilibrium states of a mathematical model of an infectious disease are studied in this paper under variable parameters. A simple SEIR model with a delay is presented under a set of parameters varying periodically, characteristic to the seasonality of the disease. The final equilibrium state, determined by these parameters, is obtained with a general method based on a Fourier analysis of the dynamics of the subpopulations proposed in this paper. Then the stability of these equilibrium
more » ... for the general and some particular cases will be contemplated, and simulations will be made in order to confirm the predictions. Mathematics Subject Classification: 37M05, 37M10, 65P40
doi:10.12988/ams.2013.13070 fatcat:ymmyg3sgvbci7fxddfzoj5vbwu