- Docente: Carla Vettori
- Credits: 6
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Learning outcomes
students will acquire a practical and realistic view of biological modelling and the mathematical techniques needed to construct specific models and get quantitative and qualitative solutions of biological problems under study.
Course contents
introduction to qualitative theory of differential equations.
models with continuous time of population growth: malthusian and logistic models. other models.
discrete population models: cobwebbing. discrete logistic model. hassel equation.
interacting populations: predator-prey model, competition, competitive exclusion theorem, cooperation.
dynamics of infectious diseases: sir, sirs models.
reaction kinetics equations : michaelis- menten quasi steady state analysis- cooperative phenomena, autocatalysis activation, inhibition.
hodgkin-huxley model for nerve fibers- fitzhug-nagumo equations
Readings/Bibliography
braun,m. : differential equation and their applications springer-verlag 1983
comincioli,v: biomatematica ed apogeonline 2006
murray j.d. : mathematical biology , vol. i , 3?ed. ,springer-verlag 2002
Teaching methods
Frontal lessons and exercises
Assessment methods
Oral examination
Office hours
See the website of Carla Vettori