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COMPACT COURSE 2011

    “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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