Qualitative and numerical analysis of an integral equation arising in a model of stationary communities

DOI10.1134/S1064562414020240zbMath1330.92101MaRDI QIDQ461910

J. Herrera, D. Rodríguez-Gómez

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Neumann seriesNyström methodwell-mixed populations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Population dynamics (general) (92D25) Volterra integral equations (45D05)

Related Items (7)

Examining the biological species steady-state density equation in spaces with different dimensions ⋮ Analytical and modeling approaches to studying the integral equation appearing after a power-3 closure ⋮ Nontrivial stationary points of two-species self-structured communities ⋮ Stochastic geometry for population-dynamic modeling: a Dieckmann model with immovable individuals ⋮ Study of Dieckmann's equation with integral kernels having variable kurtosis coefficient ⋮ Application of the Leray-Schauder principle to the analysis of a nonlinear integral equation ⋮ On the existence and uniqueness of a solution of a nonlinear integral equation

Cites Work

• Existence and uniqueness of a stationary distribution of a biological community
• Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
• On moment closures for population dynamics in continuous space

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