Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration

Attention has recently focussed on stochastic population processes that can undergo total annihilation followed by immigration into state j at rate αj. The investigation of such models, called Markov branching processes with instantaneous immigration (MBPII), involves the study of existence and recurrence properties. However, results developed to date are generally opaque, and so the primary motivation of this paper is to construct conditions that are far easier to apply in practice. These turn out to be identical to the conditions for positive recurrence, which are very easy to check. We obtain, as a consequence, the surprising result that any MBPII that exists is ergodic, and so must possess an equilibrium distribution. These results are then extended to more general MBPII, and we show how to construct the associated equilibrium distributions.

The exposure to verbal abuse of student nurses gaining placement experience

Clinical placement experience has a key role to play in the socialisation and preparation of future members of the nursing profession. Aggression experienced by healthcare workers is currently receiving considerable attention and student nurses have been identified as a group vulnerable to experiencing workplace abuse (Little 1999). The primary aim of the study is to gain a greater understanding of the nature, severity, frequency and sources of verbal abuse experienced by student nurses in health care settings in the south east of England, using as a definition, “the use of inappropriate words… causing distress” (Department of Health 2003). A convenience sample of 156 third year student nurses of all four branches of one preregistration nursing programme in the south east of England was studied with questionnaires distributed retrospectively; 11 4 student nurses returned the questionnaires equating to a response rate of 73%. Results 46% of respondents reported experiencing verbal abuse, 39% had witnessed other students experiencing verbal abuse and 61% reported that they were aware of other students experiencing verbal abuse. Students reported experiencing threats to kill, racial abuse, sexually orientated verbal abuse and bullying while gaining placement experience. Student nurses are a high risk group for experiencing verbal abuse whilst gaining placement experience.In the literature, mental health and learningdisability settings are viewed as high risk areasfor experiencing aggression (Beech and Leather 2003); this study suggests that student nurses experience verbal abuse in a variety of settings and verbal abuse may be more prevalent on general medical and surgical wards than previously expected.

A conceptual framework for designing pharmaceutical reverse logistics networks in China

Over latest decade, Reverse Logistics (RL) has gained more and more attention from both industry and academia. In the past, most research on RL has been focused on automobile, electronic waste, computer, paper, package and package material. There is very little research and practice on drug recycling. Nevertheless, it is vital important to properly dispose expired drug because of hazardous contain which may harm to people and environment. In China, public awareness of the harmfulness of expired drugs is still very low and very few efforts have been made to recycle drugs. Therefore, this research aims to build up a conceptual framework to indentify factors of influencing drug recycling in China, from scratch borrowing from existing literature and industry practices in other recycling areas. This framework helps in designing reverse logistic (RL) network and also can provide a useful reference tool for policymakers at the local and national level. Furthermore, a primary research is planed to validate the framework and RL network.