Solvability Analysis of the Nonlinear Integral Equations System Arising in the Logistic Dynamics Model in the Case of Piecewise Constant Kernels

Nikolaev, M. V., Nikitin, A. A., & Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 (2024). Solvability Analysis of the Nonlinear Integral Equations System Arising in the Logistic Dynamics Model in the Case of Piecewise Constant Kernels. Doklady Mathematics 10.1134/S1064562424701783. (In Press)

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Abstract

A nonlinear integral equation arising from a parametric closure of the third spatial moment in the single-species model of logistic dynamics of U. Dieckmann and R. Law is analyzed. The case of piecewise constant kernels is studied, which is important for further computer modeling. Sufficient conditions are found that guarantee the existence of a nontrivial solution to the equilibrium equation. The use of constant kernels makes it possible to obtain more accurate results compared to earlier works, in particular, more accurate estimates for the L1 norm of the solution and for the closure parameter are obtained.

Item Type:	Article
Research Programs:	Advancing Systems Analysis (ASA) Advancing Systems Analysis (ASA) > Cooperation and Transformative Governance (CAT) Advancing Systems Analysis (ASA) > Exploratory Modeling of Human-natural Systems (EM) Advancing Systems Analysis (ASA) > Systemic Risk and Resilience (SYRR)
Depositing User:	Michaela Rossini
Date Deposited:	19 Mar 2024 13:30
Last Modified:	19 Mar 2024 13:30
URI:	https://pure.iiasa.ac.at/19567

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