A qualitative mathematical model of the immune response under the effect of stress

In recent decades, many studies have been developed in psychoneuroimmunology that associate stress, arising from multiple different sources and situations, to changes the immune system, medical or immunological point of view as well biochemical one. this paper, we identify important behaviors interplay between system stress seek represent them qualitatively a paradigmatic, yet simple, mathematical model. To end, develop an ordinary differential equation model with two equations, for infection level respectively, which integrates effects independent parameter. addition, perform geometric analysis values corresponding bifurcation analysis. context, are able reproduce stable healthy state little oscillatory infected states high “burn-out” sick extremely stress. The mechanism dynamical regimes is controlled by saddle-node cycle bifurcations. Furthermore, our capture induced upon dropping moderate low it predicts increasing periods before eventually reaching burn-out state.