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Explore the mathematical modeling of biological speciation processes through the lens of the Derrida-Higgs model in this 90-minute seminar from ICTP-SAIFR's Biological Physics Seminars series. Delve into how migration patterns influence species formation and evolution, examining the theoretical framework that combines concepts from statistical physics with population genetics. Learn about the mathematical foundations underlying speciation dynamics, including how migration rates affect genetic diversity and reproductive isolation between populations. Discover the applications of the Derrida-Higgs model in understanding evolutionary processes, particularly focusing on the mechanisms that drive the emergence of new species when populations are connected through migration corridors. Gain insights into the intersection of theoretical physics and evolutionary biology, exploring how mathematical models can illuminate complex biological phenomena such as adaptive radiation, genetic drift, and the role of geographic barriers in speciation events.
