{
	"event_id": "1147873",
	"eventinstance_id": "4213748",
	"calendar": {
		"id": 1168,
		"title": "Mathematical Biology Calendar",
		"slug": "mathematical-biology-calendar",
		"url": "https://events.ucf.edu/calendar/1168/mathematical-biology-calendar/"
	},
	"id": "4213748",
	"title": "Mathematical Biology Seminar by Jason Harmon, UCF",
	"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\u003Cstrong\u003EJason Harmon \u003C/strong\u003E(UCF School of Data, Mathematical, and Statistical Sciences) will speak on \u0022\u003Cem\u003E\u003Cstrong\u003EImpacts of Varying Dispersal in Metapopulation Models\u003C/strong\u003E\u003C/em\u003E\u0022 at this week\u0027s seminar.\u003C/p\u003E\u000A\u003Cp\u003E\u003Cstrong\u003EAbstract: \u003C/strong\u003EMultipatch models effectively capture population and disease dynamics across heterogeneous environments, where long\u002Dterm persistence depends heavily on network topology and dispersal connectivity. Analytically assessing persistence requires evaluating the spectral abscissa of the system\u0026rsquo\u003Bs Jacobian matrix at a boundary equilibrium. While this evaluation is highly complex for general net\u002D works, fast dispersal regimes allow the spectral abscissa to be expanded via perturbation using the group inverse, a specialized generalized inverse, of the underlying graph\u0026rsquo\u003Bs Laplacian Matrix. This talk presents framework utilizing Sherman\u0026ndash\u003BMorrison\u002Dtype formulas tailored for group invertible matrices to analyze the changes in spectral abscissa due to changes in dispersal between two patches. Utilizing this formulation, we demonstrate how localized variations in dispersal intensity reshapes the overall population growth rate and persistence thresholds.\u003C/p\u003E\u000A\u003Cp\u003E\u003Cstrong\u003EShort Bio:\u003C/strong\u003E Jason Harmon is a fourth\u002Dyear graduate student pursuing a PhD in Mathematics at the University of Central Florida\u0026rsquo\u003Bs School of Data, Mathematical and Statistical Sciences. His research focuses on mathematical epidemiology, dynamical systems, and generalized inverses. He earned his Bachelor\u0027s degree in Mathematics at the University of Central Florida\u0026rsquo\u003Bs former Department of Mathematics and has presented his work at MCA 2025 and SIAM 2026.\u0026nbsp\u003B\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, 13 Oct 2026 13:00:00 -0400",
	"ends": "Tue, 13 Oct 2026 14:00:00 -0400",
	"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/4213748/mathematical-biology-seminar-by-jason-harmon-ucf/"
}