A discretetime epidemic SISI model
Abstract
We consider a discretetime epidemic SISI model in case when the population size is a constant, so the per capita death rate is equal to per capita birth rate. The evolution operator of this model is a nonlinear operator which depends on seven parameters. Reducing it to a quadratic stochastic operator, we prove uniqueness of interior fixed point of the operator and study the limit behavior of the trajectory under some conditions to parameters.
 Publication:

arXiv eprints
 Pub Date:
 November 2021
 arXiv:
 arXiv:2111.13430
 Bibcode:
 2021arXiv211113430S
 Keywords:

 Mathematics  Dynamical Systems;
 37N25;
 92D30
 EPrint:
 11 pages, 2 figures