Application of the Leray-Schauder principle to the analysis of a nonlinear integral equation

DOI10.1134/S0012266119090052zbMath1464.45011OpenAlexW2981275732WikidataQ115250532 ScholiaQ115250532MaRDI QIDQ2280409

Yanyan Li

Publication date: 18 December 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119090052

zbMATH Keywords

Dieckmann-Law modelstationary biological communities

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Population dynamics (general) (92D25) General biology and biomathematics (92B05)

Related Items (2)

Stochastic geometry for population-dynamic modeling: a Dieckmann model with immovable individuals ⋮ Application of a generalized fixed point principle to the study of a system of nonlinear integral equations arising in the population dynamics model

Cites Work

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• Examining the biological species steady-state density equation in spaces with different dimensions
• Qualitative and numerical analysis of an integral equation arising in a model of stationary communities
• Existence and uniqueness of a stationary distribution of a biological community
• A multiscale maximum entropy moment closure for locally regulated space-time point process models of population dynamics
• On moment closures for population dynamics in continuous space
• Spatial point processes and moment dynamics in the life sciences: a parsimonious derivation and some extensions

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