Explore deterministic mathematical modeling in ecology through this comprehensive lecture from the Serrapilheira/ICTP-SAIFR Training Program in Quantitative Ecology. Delve into key concepts such as structured populations, population dynamics, and microbial populations. Examine functional responses, including mechanistic, logistic, and distribution-based models. Investigate the nature of predation, ratio-dependent functional forms, and the paradox of enrichment. Analyze community ecology topics like food webs, herbivory, and predator-prey relationships. Learn about time-dependent carrying capacity and its implications for ecological systems. Gain valuable insights from speaker Roberto Kraenkel of IFT-Unesp in this in-depth, 1 hour and 34 minute presentation on advanced ecological modeling techniques.