MU02031 Mathematical Modelling

Mathematical Institute in Opava
Summer 2023
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Mgr. Barbora Volná, Ph.D. (lecturer)
Ing. Mgr. Barbora Volná, Ph.D. (seminar tutor)
Guaranteed by
Ing. Mgr. Barbora Volná, Ph.D.
Mathematical Institute in Opava
Timetable
Thu 13:05–14:40 LVT2
  • Timetable of Seminar Groups:
MU02031/01: Thu 14:45–16:20 LVT2, B. Volná
Prerequisites (in Czech)
MU20001 Mathematical Analysis I && MU20002 Mathematical Analysis II && ( MU20003 Mathematical Analysis III || MU20011 Selected Topics in MA I ) && ( MU20004 Mathematical Analysis IV || MU20012 Selected Topics in MA II ) && MU20005 Algebra I && MU20006 Algebra II && MU02024 Ordinary Differential Equation && TYP_STUDIA(B)
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Application of theoretical knowledges of mathematics, particularly of differential equations, in practical problems in economics and biology.
Syllabus
  • 1. Spider's web model of supply - demand model
    2. Dynamical multiplication
    3. Interests
    4. Predator-prey systems models
    5. A control problem in fishery management
    6. Epidemic models
Literature
    required literature
  • Murray, J.D. Mathematical biology. Springer New York, 2002. ISBN 0-387-95223-3. info
  • Illner,R.;Bohun,C.S.;McCollum,S.;van Roode,T. Mathematical modelling. AMS Providence, 2000. ISBN 0-8218-3650-1. info
  • R. G. D. Allen. Matematická ekonomie. Academia Praha, 1971. info
    recommended literature
  • G. Gandolfo. Economic Dynamics. Berlin-Heidelberg: Springer-Verlag, 1997. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
Credit - presentation of the arbitrary model from any area.
Exam - written test must be correct at least from 60%.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2021, Summer 2024.
  • Enrolment Statistics (Summer 2023, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2023/MU02031