ANALYSIS OF NONLINEAR DELAY SYSTEMS WITH APPLICATIONS IN BUMBLEBEE POPULATION MODELS

H.T. BANKS; J.E. BANKS; RICCARDO BOMMARCO; A.N. LAUBMEIER; N.J. MYERS; MAJ RUNDLÖF; KRISTEN TILLMAN

Title	ANALYSIS OF NONLINEAR DELAY SYSTEMS WITH APPLICATIONS IN BUMBLEBEE POPULATION MODELS
Publication Type	Journal Article
Year of Publication	2017
Authors	BANKS, HT, BANKS, JE, BOMMARCO, RICCARDO, LAUBMEIER, AN, MYERS, NJ, RUNDLÖF, MAJ, TILLMAN, KRISTEN
Secondary Title	Communications in Applied Analysis
Volume	21
Issue	3
Start Page	449
Pagination	30
Date Published	06/2017
Type of Work	scientific: mathematics
ISSN	1083-2564
AMS	34K28, 92D25, 92D40, 93C30
Abstract	Bumblebees are ubiquitous creatures and crucial pollinators to a vast assortment of crops worldwide. These populations have been in decline in recent decades and researchers are seeking to understand why populations are decreasing and how to direct conservation efforts. Because of their reproductive patterns, bumblebee population dynamics can be modeled with delay differential equations (DDEs). We present non-linear, non-autonomous DDE models of bumblebee colonies and resources. We demonstrate that the models satisfy the conditions in [4] and complete the subsequent theoretical developments therein in order to rigorously justify families of approximate solutions.
URL	http://www.acadsol.eu/en/articles/21/3/8.pdf
DOI	10.12732/caa.v21i3.8
Short Title	Analysis of Nonlinear Delay Systems
Alternate Journal	CAA
Refereed Designation	Refereed
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