Home/ Majors directory/Applied Mathematics/Mathematical Models of Ecological Processes

### Mathematical Models of Ecological Processes

**Major:**Applied Mathematics

**Code of subject:**8.113.00.M.011

**Credits:**3.00

**Department:**Applied Mathematics

**Lecturer:**PhD, professor Rostyslav Bun (lectures, laboratory classes)

**Semester:**2 семестр

**Mode of study:**денна

**Завдання:**The study of this educational discipline involves the formation of competencies: general competences: knowledge in the field of socio-economic sciences, which contribute to the development of general culture and socialization of the individual, knowledge and use of ethical values; understanding the cause-and-effect relationships of the development of society; the ability to use them in professional and social activities; professional knowledge of mathematical modeling methods is necessary for future professional activity or further education; the ability to set and solve problems in the field of mathematical modeling and information technologies; ability to apply knowledge in practice; possession of research skills; have project development and management skills; the ability to analyze and synthesize the obtained results, make informed decisions, produce new ideas in the field of professional activity; ability to written and oral communication in the Ukrainian language; the ability to work both individually and in a team; ability to communicate effectively on professional and social levels; creativity, ability to system thinking; potential for further education; responsibility for the quality of the work performed. professional competences: professional knowledge of scientific concepts, theories and methods necessary for understanding the principles of construction, analytical and numerical (computational experiment) research of mathematical models; ability to apply and integrate knowledge and understanding of disciplines of other specialties; the ability to use and implement new technologies, to participate in the modernization of systems and complexes in order to increase their efficiency; the ability to understand and take into account social, environmental, ethical and economic aspects that influence the formation of adopted or recommended decisions; the ability to use the acquired knowledge and skills to build, research, choose the implementation and design of mathematical models and software and information complexes for their research; the ability to apply professionally profiled knowledge and practical skills to build solutions to the problems of mathematical modeling of phenomena or systems, as well as the operation of software and information complexes; the ability to identify, classify and investigate modeled systems and their components by using both analytical and numerical methods; the ability to investigate problems and determine limitations due to both the impact on society and the environment, as well as on the safety of life; the ability to argue the choice of research methods of mathematical models, critically evaluate the obtained results and defend the decisions made.

**Learning outcomes:**By the end of study the learners are expected to be able: - to know the basic approaches to create mathematical models of ecological processes, basic methods of analysis of results uncertainty; - to be able to carry out computational experiments using mathematical models of complex environmental processes, to visualize and interpret the results of mathematical modeling.

**Required prior and related subjects:**Prerequisites: Analytical and numerical research methods Corequisites: Special courses on the topic of dissertation work

**Summary of the subject:**Creation of mathematical models of complex ecological processes at local, regional, national and global levels; preparation of input data for modeling; principles of development of GIS for analysis and forecasting of complex environmental processes; principles of computational experiments on modeling of environmental processes; verification of results of mathematical modeling.

**Опис:**The aim and tasks of the subject. Main principles of forming mathematical models of complex ecological processes. Principles of multi-level modeling of processes of emission and absorption of greenhouse gases at the local, regional and national levels. Formation of mathematical models of environmental processes related to electricity and heat energy. Formation of mathematical models of ecological processes related to the functioning of the housing sector. Formation of mathematical models of ecological processes related to extraction and processing of solid, liquid and gaseous types of fossil fuels. Formation of mathematical models of ecological processes related to the functioning of road transport. Formation of mathematical models of ecological processes related to the functioning of railway, water and air transport. Formation of mathematical models of ecological processes related to the use of fossil fuels in the processing industry and construction. Formation of mathematical models of ecological processes related to the functioning of animal husbandry. Formation of mathematical models of ecological processes related to the functioning of crop production. Formation of mathematical models of ecological processes related to carbon absorption in forest ecosystems. Formation of mathematical models of ecological processes related to the emission of greenhouse gases in forestry. Preparation of input data for mathematical modeling of complex ecological processes. Principles of implementation of computational experiments on mathematical modeling of complex ecological processes. Uncertainty analysis and verification of the results of mathematical modeling of complex ecological processes.

Assessment methods and criteria: Grading of knowledge of students is carried out on the basis of:
1. Intermediate control:
of knowledge - on the basis of a prepared presentation and oral answers to questions related to the formation of mathematical models of ecological processes;
ability - on the basis of oral presentation and presentation of own examples related to the formation of mathematical models of ecological processes;
competence - based on the ability to use various approaches to mathematical modeling of environmental processes for effective communication at the professional and social levels.
2. Practical works.
3. Semester control (exam).

**Критерії оцінювання результатів навчання:**Current control (50%): practical tasks, reports, oral presentations. Final control (50%): exam.

Порядок та критерії виставляння балів та оцінок: Structure of grades: theoretical course - 70%, practical course - 30%.
The grade for practical classes consists of grades for the performance of individual practical works (6 points for each work). The evaluation of each practical work performed by the student consists of three components: 1) knowledge of the theoretical material necessary to perform the work - 50%; 2) performance of the task set in practical work - 25%; 3) the ability to analyze and explain the result, making conclusions that are reflected in the description of the practical work - 25%.

**Recommended books:**Mathematical models of ecological processes: electronic educational and methodical complex / Authors: Bun R., Charkovska N., Topylko P., Halushchak M. Certificate #03088. Number and registration date: E41-141-314/2019, 26.12.2019. Bun R., Boychuk Kh., Bun A. et al. Information technologies for spatial inventory of greenhouse gases in the energy sector and uncertainty analysis. Lviv: PP Soroka, 2012. 464 pp. Bun R., Charkovska N., Danylo O. et al. Spatial modeling of greenhouse gas emissions from stationary sources. Lviv: PP Soroka, 2016. 480 pp. Bun R. et al. Information technologies of greenhouse gas inventory and carbon balance prognosis of Ukraine. Lviv: UAD, 2004. 376 pp. Bun R. et al. Information technologies of creation of cadastre of greenhouse gas emissions of Lviv region. Lviv: Ukrpol, 2010. 272 pp.