Lecture on mathematical ecology

Venue:   Nila 306 (11.50 AM - 1.00 PM)

Title: An introduction to mathematical ecology

Abstract.  In this teaching kind presentation, we first provide an overview of population ecology including biomass pyramid, trophic levels, bottom-up and top-down forces, etc. Then we propose Malthus and Verhulst growth model of single-species. Suddenly, we switch to discuss chemical reaction modeling and then link chemical reaction models to ecological models of interacting species. We now present Lotka-Volterra, logistic Lotka-Volterra, Rosenzweig-MacArthrur predator-prey models and their dynamics. Further, we explain Gause’s competitive exclusion principle through two different class of models. We then define Maximum Sustainable Yield (MSY) and species extinction phenomenon in multispecies fishery systems. Ecological resilience and Maximum Resilience Yield (MRY) will also be demonstrated. Finally, we discuss a paradoxical result-hydra effect in ecology.