The paper presents the results of the development of a method for assessing the security of cyber-physical systems based on the Lotka–Volterra model. Security models of cyber-physical systems are proposed: “predator–prey” taking into account the computing capabilities and focus of targeted cyberattacks, “predator–prey” taking into account the possible competition of attackers in relation to the “prey”, “predator–prey” taking into account the relationships between “prey species” and “predator species”, “predator–prey” taking into account the relationship between “prey species” and “predator species”. Based on the proposed approach, the coefficients of the Lotka–Volterra model α=0.39, β=0.32, γ=0.29, φ=0.27 were obtained, which take into account the synergy and hybridity of modern threats, funding for the formation and improvement of the protection system, and also allow determining the financial and computing capabilities of the attacker based on the identified threats. The proposed method for assessing the security of cyber-physical systems is based on the developed threat classifier, allows assessing the current security level and provides recommendations regarding the allocation of limited protection resources based on an expert assessment of known threats. This approach allows offline dynamic simulation, which makes it possible to timely determine attackers' capabilities and form preventive protection measures based on threat analysis. In the simulation, actual bases for assessing real threats and incidents in cyber-physical systems can be used, which allows an expert assessment of their impact on both individual security services and security components (cyber security, information security and security of information). The presented simulation results do not contradict the graphical results of the classical Lotka–Volterra model, which indicates the adequacy of the proposed approach for assessing the security of cyber-physical systems
The paper reports authors’ experience of implementing educational projects in a computer modelling course offered to the students majoring in “Secondary Education (Computer Science)” at Ternopil Volodymyr Hnatiuk National Pedagogical University. We analyze approaches to teaching mathematical and computer modelling such as: integration of modelling tasks, naturalistic case study, using of role-playing games, possibilities of STEM-education, motivation and positive attitude to modelling training, etc. Then we illustrate the implementation of the project to study the population dynamics of the grape snail Helix pomatia. The implementation of the project splits into several stages: formulation of the problem, presentation of project tasks, brainstorming, development, testing, presentation of results. The study was conducted at Ternopil Volodymyr Hnatiuk National Pedagogical University within the Norwegian-Ukrainian Project “Development of students' mathematical competencies through Digital Mathematical Modelling” (DeDiMaMo) in partnership with the University of Agder (Norway) and Borys Grinchenko Kyiv University.
The paper describes the concept of augmented reality. Based on literature analysis, the authors claim that augmented reality technology enriches human experiences with digital data. The introduction of augmented reality applications and services provides an opportunity to increase the realism of research, while also offering an enhanced emotional and cognitive experience. Therefore, it can be an effective tool for the organization of learning in schools, colleges and universities.Augmented reality technologies can be interesting as an object of study as well. To do this, scientists need to design, develop and test appropriate methodologies.This paper explores one of the components of such techniques. The authors analysed several platforms for creating augmented reality applications. Unity, Vuforia and 3d-Studio were chosen for the purpose of analysis. Using them, the authors developed a fragment of the content of education. It contains instructionsfor creating an augmented reality application. The paper contains the author’s account of the process of training future teachers of computer science at Ternopil Volodymyr Hnatiuk National Pedagogical University (Ukraine). Based on the conducted study, the authors claim that students showed considerable interest in augmented reality technologies and the content of their training.
The purpose of the work was the need to study the change in weight and hematological indicators of the rats as a reaction-response to being in difficult and unfavorable experimental conditions. The biological experiment was conducted in compliance with the normative conditions of keeping the rats, in accordance with ethical standards and recommendations for humanization of work with laboratory animals. In order to accomplish these tasks, rats were divided into two groups: control rats were housed in a spacious cage with comfortable living conditions and experimental animals were housed in a small cage with limited ability to move freely. For the purity of the experiment, the feed ration of animals of two groups was the same. Weight and hematological indicators were determined by conventional methods in physiology. It has been found that improper housing conditions, causing a stressful situation adversely affect the eating activity of the test animals, which explains the weak correlation of the dynamics of the weight of the animals in the control and experimental groups. The analysis of the absolute mass of the internal organs of rats showed their direct dependence on body weight and the correlation of these parameters between animals of both groups. The study found that the quantitative ratios of the main hematological parameters of each of the rodents are strictly different. The tendency to increase of the investigated parameters in the experimental group in comparison with the control one is symptomatic and can be explained by sympathetic-vegetative influences. The amount of hemoglobin is directly correlated with the number of red blood cells. Comparison of the content of hemoglobin, erythrocytes, leukocytes with body weight showed inversely proportional relationship between them. The persistent predominance of leukocytes in the blood of rats in both groups is likely to genetically determined.
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