Bottom-up derivation of discrete-time population models with the Allee effect

DOI10.1016/j.tpb.2008.11.001zbMath1210.92035OpenAlexW2031716544WikidataQ33391863 ScholiaQ33391863MaRDI QIDQ615574

Masahiro Anazawa

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2008.11.001

zbMATH Keywords

Allee effectfirst-principles derivationindividual-based derivationsite-based framework

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Applications of difference equations (39A60)

Related Items

The mechanistic basis of discrete-time population models: the role of resource partitioning and spatial aggregation ⋮ The Allee effect in mechanistic models based on inter-individual interaction processes ⋮ Population models with Allee effect: a new model ⋮ Evolution of site-selection stabilizes population dynamics, promotes even distribution of individuals, and occasionally causes evolutionary suicide ⋮ Finding analytical approximations for discrete, stochastic, individual-based models of ecology ⋮ Coupling mountain pine beetle and forest population dynamics predicts transient outbreaks that are likely to increase in number with climate change ⋮ Individual-based competition between species with spatial correlation and aggregation ⋮ Interplay between habitat subdivision and minimum resource requirement in two-species competition ⋮ Predicting and estimating probability density functions of chaotic systems ⋮ Interspecific competition models derived from competition among individuals ⋮ Bottom-up derivation of population models for competition involving multiple resources ⋮ Oscillatory traveling waves for a population diffusion model with two age classes and nonlocality induced by maturation delay

Cites Work

• Unnamed Item
• Coupled map lattice approximations for spatially explicit individual-based models of ecology
• Ecological stability and social hierarchy
• From local interactions to population dynamics in site-based models of ecology
• Ants and agents: a process algebra approach to modelling ant colony behaviour
• On the mechanistic underpinning of discrete-time population models with complex dynamics
• On the mechanistic derivation of various discrete-time population models
• On the mechanistic underpinning of discrete-time population models with Allee effect
• Stochastic analogues of deterministic single-species population models
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Simple mathematical models with very complicated dynamics
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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