Population Dynamics Across Interacting Networks or Scales
Thursday, June 17 at 11:30am (PDT)Thursday, June 17 at 07:30pm (BST)Friday, June 18 03:30am (KST)
Necibe Tuncer (Florida Atlantic University, USA), Hayriye Gulbudak ( University of Louisiana at Lafayette, USA), Cameron Browne (University of Louisiana at Lafayette, USA)
Modeling the complexity of populations and ecosystems requires innovative applications of dynamical systems and differential equations. Of particular interest are multi-scale or multi-species models where components, in themselves representing commonly studied systems in mathematical biology, are coupled together to form complex systems. For example, ecosystems may be viewed as high-dimensional networks of interacting species. Rapidly evolving and diverse interacting populations, such as a viral ``quasi-species'' and host immune response, quickly build a dynamic network of multiple variants whose structure can possibly be predicted through analytical or computational tools. Another layer of complexity to consider can be connecting the interdependent scales of within-host (immunology) and between-host (epidemiology) for infectious diseases. Modeling populations across networks or scales can bring genetic, biological or spatial structure into the equation, and motivates novel application of partial or high-dimensional ordinary differential equations. In this special session, we collect a variety of speakers who model population dynamics across interacting networks or scales.