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Compact Courses 10 - 11



"Mathematical Ecology - I"


Prof. Arni S.R. Srinivasa Rao
ISI, Kolkata


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


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.


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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