2010 2011
Workshop on Stability & Bifurcation Analysis and Pattern Formation in Mathematical Ecology and Epidemiology
February 25  March 02, 2011

Among the different branches of nonlinear sciences, the
branch which deals with interrelationships between
living organisms with their environment is known as
ecology and an ecosystem is the functional unit of
ecology. An ecosystem consisting of an enumerable
number of interacting organisms or species in relation to
its environment is a complex system. The remarkable
variety of dynamic behavior exhibited by many species
plants, insects and animals has stimulated great interest
in the development of mathematical models for several
ecological systems. Dynamical analysis of spread of
infections at individual level as well as at population’s
level and development of meaningful control strategies
to eradicate the disease is main theme for mathematical
epidemiology. The objective of the workshop is to
introduce the basic mathematical tools and techniques of
nonlinear dynamics for studying the continuous time
models of interacting populations and epidemic disease
within homogeneous and heterogeneous environments.
The set of lectures on ordinary and partial differential
equation models of ecology and epidemiology and their
dynamical analysis will provide state of art knowledge
and enable the participants to work independently in
these areas of Mathematical Biology.
The instructional workshop is aimed towards postgraduate
students and research scholars in the area of Mathematical Ecology and Epidemiology.
About 25 outstation participants will be selected.
Accommodation will be provided in the IIT Guest
House/Hostels. Financial assistance (partial/full) may
be available for selected outstation participants.
This workshop is part of a Special Year on
Mathematical Biology and is being jointly organized
by IISc Mathematics Initiative (IMI), DST Centre for
Mathematical Biology at IISc and IIT Kanpur.
THEMATIC AREAS:
Introduction dynamical to models in
Mathematical Ecology and Epidemiology
Local and Global Stability
Bifurcation Theory and Normal Form Analysis
Pattern Formation
Numerical Simulation 