This paper is concerned with a SIS (susceptible, infected and susceptible populations) propagation disease model with a nonlinear incidence rate and eventual impulsive (non- necessarily being simultaneous) culling of both populations. The disease transmission does not necessarily take into account the total population as a normalizing effect. In this sense, the considered model is a mixed pseudo-mass. The positivity, stability of both the impulse- free and impulsive under pulse culling variants of the model are investigated in this paper.
@article{arxiv.1103.4476,
title = {On a SIS model with impulsive effects},
author = {M. De la Sen and A. Ibeas and S. Alonso-Quesada},
journal= {arXiv preprint arXiv:1103.4476},
year = {2011}
}