A note on semi-discrete modelling in the life sciences

L Mailleret, V Lemesle - Philosophical Transactions of the …, 2009 - royalsocietypublishing.org
Semi-discrete models are a particular class of hybrid dynamical systems that undergo
continuous dynamics most of the time but repeatedly experience discrete changes at some …

Generalized stability conditions for host–parasitoid population dynamics: Implications for biological control

A Singh, B Emerick - Ecological Modelling, 2021 - Elsevier
Discrete-time models are the traditional approach for capturing population dynamics of
insects living in the temperate regions of the world. We revisit classical discrete-time models …

Spreading speed, traveling waves, and minimal domain size in impulsive reaction–diffusion models

MA Lewis, B Li - Bulletin of mathematical biology, 2012 - Springer
How growth, mortality, and dispersal in a species affect the species' spread and persistence
constitutes a central problem in spatial ecology. We propose impulsive reaction–diffusion …

Estimation of the spawning stock and recruitment relationship of Octopus vulgaris in Asturias (Bay of Biscay) with generalized depletion models: implications for the …

RH Roa-Ureta, MP Fernández-Rueda… - ICES Journal of …, 2021 - academic.oup.com
We developed a new type of generalized depletion model adapted to the rapid life cycle of
Octopus vulgaris and the data collection framework put in place in its co-managed small …

[HTML][HTML] Fundamental limits of parasitoid-driven host population suppression: Implications for biological control

A Singh - Plos one, 2023 - journals.plos.org
Parasitoid wasps are increasingly being used to control insect pest populations, where the
pest is the host species parasitized by the wasp. Here we use the discrete-time formalism of …

Harvest timing and its population dynamic consequences in a discrete single-species model

B Cid, FM Hilker, E Liz - Mathematical biosciences, 2014 - Elsevier
The timing of harvesting is a key instrument in managing and exploiting biological
populations and renewable resources. Yet, there is little theory on harvest timing, and even …

Harvesting, census timing and “hidden” hydra effects

FM Hilker, E Liz - Ecological Complexity, 2013 - Elsevier
Population control in some form of harvesting might be expected to reduce population size,
but quite the opposite can happen due to the hydra effect. This phenomenon describes an …

A global picture of the gamma-Ricker map: a flexible discrete-time model with factors of positive and negative density dependence

E Liz - Bulletin of Mathematical Biology, 2018 - Springer
The gamma-Ricker model is one of the more flexible and general discrete-time population
models. It is defined on the basis of the Ricker model, introducing an additional parameter …

Seasonal fluctuations in population dynamics of Aurelia aurita polyps in situ with a modelling perspective

S Hočvar, A Malej, B Boldin, JE Purcell - Marine Ecology Progress Series, 2018 - int-res.com
Benthic polyps are important in jellyfish outbreaks, which seem to have become more
intense and are causing increasing problems for humans. We studied annual and seasonal …

Population genetics meets ecology: a guide to individual-based simulations in continuous landscapes

ET Chevy, J Min, V Caudill, SE Champer, BC Haller… - bioRxiv, 2024 - biorxiv.org
Individual-based simulation has become an increasingly crucial tool for many fields of
population biology. However, implementing realistic and stable simulations in continuous …