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Simple mathematical models in biology 1 - NMMO593

Title:	Jednoduché matematické modely v biologii 1
Guaranteed by:	Institute of Mathematics CAS (32-MUAV)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2020
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	course can be enrolled in outside the study plan

Guarantor:	prof. RNDr. Milan Kučera, DrSc.
Classification:	Mathematics > Differential Equations, Potential Theory
Incompatibility :	NMOD208

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Annotation -

Last update: T_KMA (26.04.2013)

Simple models of one and more populations and chemical (biochemical) reactions will be discussed. Ordinary and partial differential equations will be successively used..Elementary as well as serious open problems will be formulated.

Literature -

Last update: T_KMA (26.04.2013)

J. D. Murray: Mathematical Biology I. An Introduction. Third Edition, Springer 2002.

Syllabus -

Last update: T_KMA (26.04.2013)

Population models, in particular competition, symbiosis and predator-prey models.

Stationary states and their stability, periodic solutions, Hopf bifurcation.

Models of chemical (biochemical) reactions, simple epidemic models.