Big bang bifurcations in von Bertalanffy’s dynamics with strong and weak Allee effects

The main purpose of this work was to study population dynamic discrete models in which the growth of the population is described by generalized von Bertalanffy's functions, with an adjustment or correction factor of polynomial type. The consideration of this correction factor is made with the aim to introduce the Allee effect. To the class of generalized von Bertalanffy's functions is identified and characterized subclasses of strong and weak Allee's functions and functions with no Allee effect. This classification is founded on the concepts of strong and weak Allee's effects to population growth rates associated. A complete description of the dynamic behavior is given, where we provide necessary conditions for the occurrence of unconditional and essential extinction types. The bifurcation structures of the parameter plane are analyzed regarding the evolution of the Allee limit with the aim to understand how the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, is realized. To generalized von Bertalanffy's functions with strong and weak Allee effects is identified an Allee's effect region, to which is associated the concepts of chaotic semistability curve and Allee's bifurcation point. We verified that under some sufficient conditions, generalized von Bertalanffy's functions have a particular bifurcation structure: the big bang bifurcations of the so-called box-within-a-box type. To this family of maps, the Allee bifurcation points and the big bang bifurcation points are characterized by the symmetric of Allee's limit and by a null intrinsic growth rate. The present paper is also a significant contribution in the framework of the big bang bifurcation analysis for continuous 1D maps and unveil their relationship with the explosion birth and the extinction phenomena.

Bacterial contamination in hotel rooms during the cleaning activity

Introduction - Some studies point to human activities as one of the responsible for most bacterial concentration. However, there is no information regarding bacteria contamination in hotel room during the cleaning activity. Aim of the study - This study aims to assess and characterize the occupational exposure of bacterial contamination in hotel rooms, more precisely in a room with carpet floor and another room without carpet, during the cheaning activity.

Occupational exposure to particles during hotel´s rooms cleaning

Background: The majority of studies investigated ambient particles, although in most industrialized countries people spend most of their time indoors and significant emissions of fine and ultrafine particles leading to human exposure are caused by various indoor tasks, including cleaning tasks. Objective: To characterize the occupational exposure to particles during cleaning of hotel's rooms. Methodology: Measurements of mass concentration and particle number concentration were performed before and during cleaning tasks in two rooms with different floor types (wood and carpet) with the equipment Lighthouse, model 3016 IAQ. Results: Considering mass concentration, particles with higher were responsable for higher leves of contamination, particularly PM5.0 and PM10.0. However, considering the particle number concentration, the smaller particle size obtained the higher values. Conclusion: It was observed higher number of particles of the smaller size in all tasks, which is associated with worse health effects. It was observed that the room with wood in the floor has lower values when compared to the room with carpet. The tasks with greater exposure were the 'vacuuming' and 'clean up powder'.