On a SIS model with impulsive effects

Details On a SIS model with impulsive effects On a SIS model with impulsive effects

2011-03-23

arxiv.org/abs/1103.4476v1

Mathematics

Dynamical Systems

Scientific paper

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.

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