A matter of maturity: To delay or not to delay? Continuous‐time compartmental models of structured populations in the literature 2000–2016

SL Robertson, SM Henson, T Robertson… - Natural Resource …, 2018 - Wiley Online Library
Structured compartmental models in mathematical biology track age classes, stage classes,
or size classes of a population. Structured modeling becomes important when mechanistic …

Translating nutritional ecology from the laboratory to the field: milestones in linking plant chemistry to population regulation in mammalian browsers

JL DeGabriel, BD Moore, AM Felton, JU Ganzhorn… - Oikos, 2014 - Wiley Online Library
A central goal of nutritional ecology is to understand how variation in food quality limits the
persistence of wild animal populations. Habitat suitability for browsing mammals is strongly …

Using physiologically based models to predict population responses to phytochemicals by wild vertebrate herbivores

JS Forbey, R Liu, TT Caughlin, MD Matocq… - animal, 2018 - cambridge.org
To understand how foraging decisions impact individual fitness of herbivores, nutritional
ecologists must consider the complex in vivo dynamics of nutrient–nutrient interactions and …

What factors determine cyclic amplitude in the snowshoe hare (Lepus americanus) cycle?

CJ Krebs, J Bryant, K Kielland… - Canadian Journal of …, 2014 - cdnsciencepub.com
Snowshoe hares (Lepus americanus Erxleben, 1777) fluctuate in 9–10 year cycles
throughout much of their North American range. These cycles show large variations in cyclic …

A plant toxin mediated mechanism for the lag in snowshoe hare population recovery following cyclic declines

DL DeAngelis, JP Bryant, R Liu, SA Gourley, CJ Krebs… - Oikos, 2015 - Wiley Online Library
A necessary condition for a snowshoe hare population to cycle is reduced reproduction after
the population declines. But the cause of a cyclic snowshoe hare population's reduced …

[SÁCH][B] Mathematical models of plant-herbivore interactions

Z Feng, D DeAngelis - 2017 - taylorfrancis.com
Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the
study of practical questions in ecology, particularly factors that affect herbivory, including …

Can inducible resistance in plants cause herbivore aggregations? Spatial patterns in an inducible plant/herbivore model

KE Anderson, BD Inouye, N Underwood - Ecology, 2015 - Wiley Online Library
Many theories regarding the evolution of inducible resistance in plants have an implicit
spatial component, but most relevant population dynamic studies ignore spatial dynamics …

[HTML][HTML] Wading bird foraging on a wetland landscape: a comparison of two strategies

HW Lee, DL DeAngelis, S Yurek… - Mathematical …, 2022 - aimspress.com
Tactile-feeding wading birds, such as wood storks and white ibises, require high densities of
prey such as small fishes and crayfish to support themselves and their offspring during the …

Global dynamics of two heterogeneous SIR models with nonlinear incidence and delays

H Song, W Jiang, S Liu - International Journal of Biomathematics, 2016 - World Scientific
To investigate the effect of heterogeneity on the global dynamics of two SIR epidemic
models with general nonlinear incidence rate and infection delays, we formulate a multi …

Dynamics of herbivores and resources on a landscape with interspersed resources and refuges

R Liu, DL DeAngelis, JP Bryant - Theoretical Ecology, 2014 - Springer
A tradeoff between energy gain from foraging and safety from predation in refuges is a
common situation for many herbivores that are vulnerable to predation while foraging. This …