ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS

DOI10.1142/S0219025713500148zbMath1281.47028arXiv1112.1973OpenAlexW3099060486MaRDI QIDQ2842034

Dmitri L. Finkelshtein, Oleksandr Kutoviy, Yuri G. Kondratiev

Publication date: 30 July 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1973

zbMATH Keywords

individual based modelsspatial birth-and-death processesestablishmentfecundityVlasov-type equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) Applications of operator theory in chemistry and life sciences (47N60) Vlasov equations (35Q83)

Related Items (6)

A shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site ⋮ Statistical dynamics of continuous systems: perturbative and approximative approaches ⋮ Linear evolution equations in scales of Banach spaces ⋮ Fecundity regulation in a spatial birth-and-death process ⋮ Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree ⋮ Spatial point processes and moment dynamics in the life sciences: a parsimonious derivation and some extensions

Cites Work

• Vlasov scaling for stochastic dynamics of continuous systems
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• Multiquantum systems and point processes. I: Generating functionals and nonlinear semigroups
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• On a general kinetic equation for many–particle systems with interaction, fragmentation and coagulation
• ONE-PARTICLE SUBSPACE OF THE GLAUBER DYNAMICS GENERATOR FOR CONTINUOUS PARTICLE SYSTEMS
• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY
• Individual Based Model with Competition in Spatial Ecology
• ON CONTACT PROCESSES IN CONTINUUM
• On the metrical properties of the configuration space

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