A comparative approach to stabilizing mechanisms between discrete- and continuous-time consumer-resource models

Author(s)Singh, Abhyudai
Date Accessioned2022-05-11T20:15:31Z
Date Available2022-05-11T20:15:31Z
Publication Date2022-04-12
DescriptionThis article was originally published in PLoS ONE. The version of record is available at: https://doi.org/10.1371/journal.pone.0265825en_US
AbstractThere is rich literature on using continuous-time and discrete-time models for studying population dynamics of consumer-resource interactions. A key focus of this contribution is to systematically compare between the two modeling formalisms the stabilizing/destabilizing impacts of diverse ecological processes that result in a density-dependent consumer attack rate. Inspired by the Nicholson-Bailey/Lotka-Volterra models in discrete-time/continuous-time, respectively, we consider host-parasitoid interactions with an arbitrary parasitoid attack rate that is a function of both the host/parasitoid population densities. Our analysis shows that a Type II functional response is stabilizing in both modeling frameworks only when combined with other mechanisms, such as mutual interference between parasitoids. A Type III functional response is by itself stabilizing, but the extent of attack-rate acceleration needed is much higher in the discrete-time framework, and its stability regime expands with increasing host reproduction. Finally, our results show that while mutual parasitoid interference can stabilize population dynamics, cooperation between parasitoids to handle hosts is destabilizing in both frameworks. In summary, our comparative analysis systematically characterizes diverse ecological processes driving stable population dynamics in discrete-time and continuous-time consumer-resource models.en_US
CitationSingh A (2022) A comparative approach to stabilizing mechanisms between discrete- and continuous-time consumer-resource models. PLOS ONE 17(4): e0265825. https://doi.org/10.1371/journal.pone.0265825en_US
ISSN1932-6203
URLhttps://udspace.udel.edu/handle/19716/30859
Languageen_USen_US
PublisherPLoS ONEen_US
TitleA comparative approach to stabilizing mechanisms between discrete- and continuous-time consumer-resource modelsen_US
TypeArticleen_US
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