Mathematical Biology

Code: MA565 | L-T-P-C: 3-0-0-6

Review of Linear Systems of ODEs and Qualitative Analysis of Autonomous Systems; Bifurcations and chaos: Saddle-node, Transcritical, Pitchfork, Hopf; Population dynamics, single species, interacting species; Infectious disease, SIR epidemics, SIS endemics; Spatially structured models, pattern formation, Turing instability, Turing bifurcations, tumor modeling; Stochastic birth and death processes, Branching processes.

Texts:

1. William E.  Boyce,  Richard C. DiPrima, and Douglas B. Meade, Elementary Differential Equations, John Wiley & Sons, 2017.
2. Nicholas F. Britton, Essential Mathematical Biology, Springer Science & Business Media, 2012
3. Mark Kot, Elements of Mathematical Ecology, Cambridge University Press, 2001.