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Watch a 40-minute lecture from the University of Brasilia where Professor Jaqueline Mesquita explores a non-autonomous chemostat model with time-dependent delays for competing microorganisms. Examine the extinction conditions of species and discover the existence of nontrivial, nonnegative periodic solutions in periodic systems. Learn about uniform persistence criteria for single microorganism models and their implications for global attractivity of positive solutions. Understand how these findings contribute to establishing the existence, uniqueness, and global attractivity of positive periodic solutions, significantly advancing current literature in the field. The presentation covers collaborative research conducted with Teresa Faria, offering new insights into mathematical modeling of microbial competition.
