Homogenization techniques for population dynamics in strongly heterogeneous landscapes
BP Yurk, CA Cobbold - Journal of biological dynamics, 2018 - Taylor & Francis
An important problem in spatial ecology is to understand how population-scale patterns
emerge from individual-level birth, death, and movement processes. These processes …
emerge from individual-level birth, death, and movement processes. These processes …
Environmentally induced dispersal under heterogeneous logistic growth
V Padrón, MC Trevisan - Mathematical biosciences, 2006 - Elsevier
We consider a single-species model which is composed of several habitats connected by
linear migration rates and having logistic growth. A spatially varying, temporally constant …
linear migration rates and having logistic growth. A spatially varying, temporally constant …
Demographic feedbacks can hamper the spatial spread of a gene drive
L Girardin, F Débarre - Journal of Mathematical Biology, 2021 - Springer
This paper is concerned with a reaction–diffusion system modeling the fixation and the
invasion in a population of a gene drive (an allele biasing inheritance, increasing its own …
invasion in a population of a gene drive (an allele biasing inheritance, increasing its own …
Spatial-temporal dynamics in nonlocal epidemiological models
S Ruan - Mathematics for life science and medicine, 2007 - Springer
Throughout recorded history, nonindigenous vectors that arrive, establish, and spread in
new areas have fomented epidemics of human diseases such as malaria, yellow fever …
new areas have fomented epidemics of human diseases such as malaria, yellow fever …
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments
A Ardaševa, RA Gatenby, ARA Anderson… - Journal of mathematical …, 2020 - Springer
Living species, ranging from bacteria to animals, exist in environmental conditions that
exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading …
exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading …
Reaction–diffusion models with large advection coefficients
A Bezuglyy, Y Lou - Applicable Analysis, 2010 - Taylor & Francis
The dispersal of organisms in a heterogeneous environment is rarely random as individuals
can sense and respond to local environmental cues by moving towards favourable habitats …
can sense and respond to local environmental cues by moving towards favourable habitats …
Accelerating invasion rates result from the evolution of density-dependent dispersal
Evolutionary processes play an important role in shaping the dynamics of range expansions,
and selection on dispersal propensity has been demonstrated to accelerate rates of …
and selection on dispersal propensity has been demonstrated to accelerate rates of …
Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences
RH Chisholm, T Lorenzi, L Desvillettes… - Zeitschrift für angewandte …, 2016 - Springer
Epigenetic mechanisms are increasingly recognised as integral to the adaptation of species
that face environmental changes. In particular, empirical work has provided important …
that face environmental changes. In particular, empirical work has provided important …
Partial differential equations in ecology: spatial interactions and population dynamics
Most of the fundamental elements of ecology, ranging from individual behavior to species
abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential …
abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential …
Co-operation, competition and crowding: a discrete framework linking Allee kinetics, nonlinear diffusion, shocks and sharp-fronted travelling waves
Invasion processes are ubiquitous throughout cell biology and ecology. During invasion,
individuals can become isolated from the bulk population and behave differently. We …
individuals can become isolated from the bulk population and behave differently. We …