Impact of directed movement on invasive spread in periodic patchy environments

DOI10.1007/s11538-011-9714-9zbMath1251.92041OpenAlexW1992697308WikidataQ51453352 ScholiaQ51453352MaRDI QIDQ1758076

Keisuke Asano, Nanako Shigesada, Kohkichi Kawasaki

Publication date: 7 November 2012

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-011-9714-9

zbMATH Keywords

biological invasionadvection-diffusion-reactionfragmented environmenttraveling periodic wavesdirected movements

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Traveling wave solutions (35C07)

Related Items (9)

Model of prey-predator dynamics with reflexive spatial behaviour of species based on optimal migration ⋮ Homogenization analysis of invasion dynamics in heterogeneous landscapes with differential bias and motility ⋮ Shigesada et al. (1986) and population spread in heterogeneous environments ⋮ Integrodifference equations in patchy landscapes. II: Population level consequences ⋮ (Non)local logistic equations with Neumann conditions ⋮ Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis ⋮ Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal ⋮ Spreading speeds and periodic traveling waves of a partially sedentary integro-difference model ⋮ Homogenization of a directed dispersal model for animal movement in a heterogeneous environment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The limitation of species range: a consequence of searching along resource gradients
• Effects of heterogeneity on spread and persistence in rivers
• The velocity of spatial population expansion
• Modeling biological invasions into periodically fragmented environments
• Movement toward better environments and the evolution of rapid diffusion
• Density-dependent dispersal in integrodifference equations
• Traveling periodic waves in heterogeneous environments
• Spatial distribution of dispersing animals
• The role of rapid dispersal in the population dynamics of competition
• Integrodifference models for persistence in fragmented habitats
• An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect
• Directed movement of predators and the emergence of density-dependence in predator-prey models.
• Diffusion and ecological problems: Modern perspectives.
• Mathematical biology. Vol. 1: An introduction.
• The effect of the spatial configuration of habitat fragmentation on invasive spread
• The speed of propagation for KPP type problems. I: Periodic framework
• Does movement toward better environments always benefit a population?
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Allee dynamics and the spread of invading organisms
• Species persistence decreases with habitat fragmentation: an analysis in periodic stochastic environments
• Mathematical analysis of the optimal habitat configurations for species persistence
• Analysis of the periodically fragmented environment model. I: Species persistence
• Persistence, spread and the drift paradox
• Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
• An integrodifference model for biological invasions in a periodically fragmented environment
• Random walk with persistence and external bias
• The Effect of the Schwarz Rearrangement on the Periodic Principal Eigenvalue of a Nonsymmetric Operator
• The speed of propagation for KPP type problems. II: General domains
• The consequences of non-passive advection and directed motion for population dynamics
• Advection-mediated coexistence of competing species

This page was built for publication: Impact of directed movement on invasive spread in periodic patchy environments