{
	"event_id": "1171033",
	"eventinstance_id": "4245443",
	"calendar": {
		"id": 2923,
		"title": "UCF Events",
		"slug": "ucf-events",
		"url": "https://events.ucf.edu/calendar/2923/ucf-events/"
	},
	"id": "4245443",
	"title": "Mathematical Biology Seminar by Dr. Satyajith Bommana Boyana, Florida Polytechnic University",
	"subtitle": null,
	"description": "\u003Cp\u003E\u003Cstrong\u003E\u003Ca href\u003D\u0022https://sciences.ucf.edu/mathbio/seminar/\u0022 target\u003D\u0022_blank\u0022\u003EMathematical Biology Seminar\u003C/a\u003E\u003C/strong\u003E\u003C/p\u003E\u000A\u003Cp\u003E\u003Ca href\u003D\u0022https://satyajithboyana.github.io/\u0022 target\u003D\u0022_blank\u0022\u003E\u003Cstrong\u003EDr. Satyajith Bommana Boyana\u003C/strong\u003E\u003C/a\u003E (Florida Polytechnic University) will speak on \u0022\u003Cem\u003E\u003Cstrong\u003EAn Interface\u002DCoupled Reaction\u0026ndash\u003BDiffusion\u0026ndash\u003BAdvection Model for Population Persistence\u003C/strong\u003E\u003C/em\u003E\u0022 at this week\u0027s seminar.\u003C/p\u003E\u000A\u003Cp\u003E\u003Cstrong\u003EAbstract: \u003C/strong\u003E\u0026nbsp\u003BSpatial heterogeneity and movement behavior play important roles in determining whether populations can persist in fragmented habitats. In particular, individuals may exhibit directed movement toward favorable environmental conditions, while their ability to move between adjacent habitats may depend on local population density and the properties of the interface separating them.\u003Cbr\u003EWe develop a reaction\u0026ndash\u003Bdiffusion\u0026ndash\u003Badvection model to investigate population persistence in two adjacent habitat patches with distinct movement mechanisms. The model incorporates spatially varying directed movement in one patch, random dispersal in both patches, and a nonlinear interface condition describing density\u002Ddependent migration. We discuss the biological motivation and conservation\u002Dbased formulation of the model, along with a weak subsolution\u0026ndash\u003Bsupersolution framework for establishing existence and uniqueness of positive steady states. Through finite element simulations, we examine how directional movement and interface dynamics influence population distributions and persistence thresholds. Our numerical findings suggest that stronger directed movement can increase the minimum habitat size required for persistence, highlighting the complex interplay between dispersal behavior and habitat connectivity. This is a collaborative work with Keta Henderson, and Dustin Nichols.\u003C/p\u003E\u000A\u003Cp\u003E\u003Cstrong\u003EShort Bio: \u003C/strong\u003E\u0026nbsp\u003BDr. Satyajith Bommana Boyana is an assistant professor in the Department of Applied Mathematics at Florida Polytechnic University. His research focuses on the development, implementation, and analysis of novel discontinuous Galerkin (DG) schemes, particularly in the context of optimization problems with inequality constraints that arise in many real\u002Dworld applications such as inverse problems, computational fluid dynamics, engineering processes like cooling processes, shape optimization in aerodynamics, and more. He completed his Ph.D. in Computational Mathematics at the University of North Carolina at Greensboro. His current recent interests include mathematical ecology and physics\u002Dinformed machine learning.\u003C/p\u003E",
	"location": "MSB 318: Mathematical Sciences Building, Room 318",
	"location_url": "https://www.ucf.edu/location/mathematical\u002Dsciences\u002Dbuilding/",
	"virtual_url": null,
	"registration_link": null,
	"registration_info": null,
	"starts": "Tue, 10 Nov 2026 13:00:00 -0500",
	"ends": "Tue, 10 Nov 2026 14:00:00 -0500",
	"ongoing": "False",
	"category": "Speaker/Lecture/Seminar",
	"tags": ["UCF Statistics","Mathematical Biology Seminar","UCF Biology","UCF Mathematics"],
	"contact_name": "Erika Lin",
	"contact_phone": null,
	"contact_email": "erika.lin@ucf.edu",
	"url": "https://events.ucf.edu/event/4245443/mathematical-biology-seminar-by-dr-satyajith-bommana-boyana-florida-polytechnic-university/"
}