AMUSE

Date: February 29, 2024

Time: 6:00PM - 7:00PM

Location: BLOC 306

Speaker: Dr. Prabir Daripa, Texas A&M University

Title: Introduction to modeling of population dynamics

Abstract: We will introduce some models, continuous and discrete, for population dynamics. Then we will study these at a very elementary level and discuss pros and cons of these models. We will show why mathematical understanding of these models are important before their use for estimating future population. There will be several takeaways from this talk including the emergence of chaos lurking in very simple models. The hallmark of this is that when "present" determines the future but the approximate present does not approximately determine the future". This is in essence "Chaos" (In Wikipedia, you find this as one of the definitions of "Chaos" within "Chaos Theory") as opposed to classical stability theory in which when the present determines the future and the approximate present does determine the future but may be a drastically different one. The content of the talk will be kept very simple so that it is accessible to even first year undergraduate students.