We use the Kolmogorov-Arnold-Moser (KAM) theory to investigate the stability of solutions of a system of difference equations, a certain class of a generalized May's host-parasitoid model. We show the existence of the extinction, interior, and boundary equilibrium points and examine their stability. When the rate of increase of hosts is less than one, the zero equilibrium is globally asymptotically stable, which means that both populations are extinct. We thoroughly describe the dynamics of 1:1 non-isolated resonance fixed points and have used the KAM theory to determine the stability of interior equilibrium point. Also, we have conducted several numerical simulations to support our findings by using the software package Mathematica.

The concept of usufruct as an independent right, ius in re aliena, was not questioned in Justinian’s sources, while on the other hand, its systematisation, development, and legal nature in analyses of classical law were the subject of serious debates among Romance experts, mainly in Italian Romance studies from the beginning of the 20th century. Some experts in Romance studies understood usufruct as pars dominii, i.e. part of the property right that the owner retains for himself, thereby denying him the position of a special right. Such a concept originates from the glossator and post-glossator schools and, the paper analyses strong reflections of their teaching on contemporary legal doctrine. The paper deals with the concept and definition of usufruct and conducts analysis into the legal sources and reasons that led to differences in the understanding of the legal nature of the institute in the Roman legal tradition.

Skin sensitization is a crucial endpoint in the safety assessment of chemicals, with the Direct Peptide Reactivity Assay (DPRA) emerging as a valuable in chemico method for evaluating a substance's sensitization potential. This review delves into the principles, applicability, and limitations of the DPRA within the context of the Adverse Outcome Pathway (AOP) framework for skin sensitization. We examine the DPRA'srole in addressing the molecular initiating event of skin sensitization, its integration into Integrated Approaches to Testing and Assessment (IATA), and its performance in predicting sensitizers. The review also highlights the challenges in testing certain categories of chemicals and the importance of considering the DPRA's results alongside other complementary methods. By providing a comprehensive overview of the DPRA, this review aims to inform researchers, regulators, and clinicians about its utility and limitations in the context of skin sensitization testing.

Consumption of fish has increased in last 50 years. Fish as a food is changing red meat because it has unsaturated fat and it is the best source of omega 3 fatty acids. Beside it is full of minerals, vitamins and it has high biological value of proteins.The content of heavy metals in the muscle tissue of fish is directly related to the pollution of the water they come from The analysis of the content of heavy metals was done by the Institute of Public Health of the Federation of Bosnia and Herzegovina.The content of lead (Pb) in the tested samples of fresh fish ranged from 0.0015 to 0.0381 mg/kg. The measured content of cadmium (Cd) in the examined samples was in the range of 3.3*10-5 to 0.0053 mg/kg. The content of arsenic (As) in the tested samples ranged from 0.0085 to 1.1668 mg/kg. The mercury (Hg) content in the tested samples of fresh fish ranged from 0.0033 to 0.0991 mg/kg, which is within the allowed values prescribed by the Rulebook. It has been statistically proven that there is a significant difference in the measured values of lead, arsenic and cadmium in the samples of sea and freshwater fish. Aim of this work was to establish do the samples of fresh fish contain concentration of heavy metals more than concentrations prescribed in Rule book about allowed amounts of certain contaminants in food. Thereby ten samples of fresh fish were tested, five samples of marine fish and five samples of freshwater fish. Results showed that all samples of fish satisfy allowed concentration of heavy metals according to the Rule book.

Background: Lyme borreliosis is a multisystemic infection caused by the spirochete Borrelia burgdorferi. Erythema migras is the main clinical marker of the disease. Objective: This study aimed was to investigate the frequency and clinical manifestations of European borreliosis on the skin, and to determine the significance of these findings for diagnosis and therapy. Methods: A retrospective-prospective clinical study of outpatients treated and monitored in a private clinic of an infectologist was conducted over nine years from to 2013-2021. The study was clinical, descriptive and analytical in nature. Results: In the investigated period, 509 (30.8%) patients with borreliosis symptoms were treated. EM in our patients occurred under the following conditions: a) ringed redness, b) redness of target cels and d) continuous round or oval redness of different sizes of individual redness, or multiple occurrences with primary dissemination. Skin changes with multiorgan chronic symptoms of borreliosis occurred in 67.7% of cases the including: walking redness of different shapes and sizes, pink borreliosis stretch marks, white borreliosis stretch marks, borreliosis palms and soles, psoriatic changes, Acrodermatitis chronica atrophicans, Scleroderma circumscripta-morphae, Erythema nodosum, Granuloma anulare and Lichen striatus et atrophicans. Of the 509 patients treated for borreliosis, 32.3% with multi-organ symptomatology had no skin changes. Conclusion: The skin manifestations of European borreliosis are multi-layered and Erythema migrans are basic, but not the only markers of the disease. ‘Pink borreliose stretch marks, “white borreliosis striae”, “borreliosis palms or soles”, and intermittent redness accompanied by itching are unique markers for the diagnosis of chronic borreliosis, if they are manifested.