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National Mathematics Initiative (NMI)
Compact Courses 10 - 11
 

 

 

"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)



 

 

 

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