Two-dimensional polynomial dynamical systems are mainly considered. We develop Erugin’s two-isocline method for the global analysis of such systems, construct canonical systems with field-rotation parameters and study various limit cycle bifurcations. In particular, we show how to carry out the classification of separatrix cycles and consider the most complicated limit cycle bifurcation: the bi...

The Gibbs tangent plane criterion has become an important tool in determining the quality of obtained solutions to the phase and chemical equilibrium problem. The ability to determine if a postulated solution is thermodynamically stable with respect to perturbations in any or all of the phases is very useful in the search for the true equilibrium solution. Previous approaches have concentrated ...

Currently, of the world’s assessed stocks, only 20% are estimated to be moderately exploited or underexploited, 52% are fully exploited, 1% are recovering from depletion, 8% are depleted, and about 19% are considered overexploited (Cochrane et al. 2011, this volume). Fisheries are vitally important renewable resources if they are governed sustainably with responsible harvest from healthy popula...

Among the several diseases, asthma is categorized to be a chronic disorder or inflammatory ailment of the airways across the globe. Almost 18-20 million people in the United States and more than 250 million people worldwide are affected wit this syndrome. Numbers of patients are refractory to the available therapies. Newer agents are needed day by day to control symptoms and exacerbations in al...

Viral hepatitis today is a major global health threat, in particular hepatitis B if unchecked can turn into an epidemic. Hepatitis B infection is particularly important in the AsianPacific region with the majority of infections being acquired perinatally or in early childhood.Concurrent infections with hepatitis B, hepatitis C and HIV viruses may occur and complicate the natural course of chron...

This article is a version of the Introduction to the World Report on Violence and Health, published by the World Health Organization (WHO). It presents a general description about this phenomenon and points some basic questions: concepts and definitions about the theme; the state of knowledge about it; nature and typology on violence; proposal of a quantitative and qualitative approach of an ec...

BACKGROUND Carlsen and coworkers (1992) reviewed 61 heterogeneous observational studies on semen quality published between 1938 and 1990. This review indicates that mean sperm density decreased significantly between 1940 and 1990. An extended meta-analysis with 101 studies confirmed a decline in sperm density for the period from 1934 to 1996 (2000). The key message of the meta-analyses is that ...

We present an open global minimization problem: it concerns the minimization of the volume among the compact convex sets in R3 of a given constant thickness.

This paper deals with the issue of buy-in thresholds in portfolio optimization using the Markowitz approach. Optimal values of invested fractions calculated using, for instance, the classical minimum-risk problem can be unsatisfactory in practice because they imply that very small amounts of certain assets are purchased. Realistically, we want to impose a discrete restriction on each invested f...

The worldwide emergence of NDM-1 positive, multiresistant Enterobacteriacae have created a major global health problem. The NDM-1 can catalyze the hydrolysis of a various antibiotics including the latest generation carbapenems, which are often referred as the last line of antibiotics active against multiresistant gram-negative pathogens. Also there are few antiobiotics in pipeline active agains...