“Mathematical Ecology - I”
by
Prof. Arni S.R. Srinivasa Rao
ISI, Kolkata
from
February 21 - 25, 2011
Venue: Centre for Ecological Sciences, IISc, Bangalore
Schedule is as follows:
Monday, 3 PM - 6 PM, CES Seminar Hall
Tuesday, 10 AM - 1 PM, CES Seminar Hall
Wednesday, 3 PM - 6 PM, CES Room 420 (Terrace)
Thursday, 3 PM - 6 PM, CES Seminar Hall
Friday, 3 PM - 6 PM, CES Seminar Hall
Abstract
**********
Preliminaries: Introduction to the mathematical ecology, Mathematical
tools (algebra and calculus) required for the course. Refreshing of
Mathematical tools.
Populations: Homogeneous population exponential, geometric growth and
decay, Age-and stage-structured linear models : relaxing the assumption of
population homogeneity, Nonlinear models of signal population the
continuous time logistic model.
Dynamics: Discrete logistic growth, oscillations, and chaos, Harvesting
and the logistic model, Predators and their prey, Competition between two
species, mutualism, and species invasions Multispecies community and
food web models.
References:
1. Differential Equations with Applications and Historical Notes by
G.F. Simmons (Tata McGraw Hill Edition, 2003)
2. Mathematical Biology Volumes 1 and 2 by J.D. Murry (Springer, 3/e, 2002)
3. Mathematical Ecology by John Pastor (Wiley-Blackwell, 2008)
