Discrete-time growth-dispersal models

1986/07/01 by Mark Kot, William M. Schaffer · 309 citations
Computer Science · Mathematics · Medicine · #Applied mathematics #Biological dispersal #Computer science #Demography #Discrete time and continuous time #Econometrics #Geometry #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Reaction–diffusion system #Scalar (mathematics) #Simple (philosophy) #Statistical physics #Statistics

paper · doi:10.1016/0025-5564(86)90069-6

published in Mathematical Biosciences 80(1), 109-136 (Elsevier BV)

openalex publication_date 1986/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Quantitative universality for a class of nonlinear transformations

Cited by

• Numerical dynamics of integrodifference equations
• Integrodifference models for persistence in fragmented habitats
• The evolution of dispersal
• Discrete-time travelling waves: Ecological examples
• Stochasticity, invasions, and branching random walks
• Spatially inhomogeneous two-cycles in an integrodifference equation
• Spatial and Temporal Heterogeneity of Host-Parasitoid Interactions in Lupine Habitat
• Integrodifference equations, Allee effects, and invasions
• An integrodifference model for vegetation patterns in semi-arid environments with seasonality
• Diffusion-driven period-doubling bifurcations
• Spatially-explicit matrix models
• Density-dependent dispersal in integrodifference equations
• Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models. [europepmc]
• Integrodifference models for persistence in temporally varying river environments. [europepmc]
• Approximating the Critical Domain Size of Integrodifference Equations. [europepmc]
• The critical domain size of stochastic population models. [europepmc]
• Optimal control for disease vector management in SIT models: an integrodifference equation approach. [europepmc]
• An integrodifference model for vegetation patterns in semi-arid environments with seasonality. [europepmc]
• A unifying theory for two-dimensional spatial redistribution kernels with applications in population spread modelling. [europepmc]
• 28 Models Later: Model Competition and the Zombie Apocalypse. [europepmc]
• Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [europepmc]
• Clinging to the top: natal dispersal tracks climate gradient in a trailing-edge population of a migratory songbird. [europepmc]
• Transient Propagation of the Invasion Front in the Homogeneous Landscape and in the Presence of a Road. [europepmc]