Application of a Generalized Fixed Point Principle to the Study of a System of Nonlinear Integral Equations Arising in the Population Dynamics Model

Nikolaev, M.V., Nikitin, A.A., & Dieckmann, U. ORCID: https://orcid.org/0000-0001-7089-0393 (2022). Application of a Generalized Fixed Point Principle to the Study of a System of Nonlinear Integral Equations Arising in the Population Dynamics Model. Differential Equations 58 (9) 1233-1241. 10.1134/S0012266122090087.

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Abstract

The paper deals with the analysis of a system of nonlinear integral equations resultingfrom the three-parameter closure of the third spatial moment in the Dieckmann–Law model in thecase of an n-species community in an N-dimensional space. For the analysis of itssolvability, this system is represented as an operator equation in a Banach space of a special form.Sufficient conditions for the existence of a nontrivial solution are stated using a generalized fixedpoint principle.

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:	Luke Kirwan
Date Deposited:	07 Nov 2022 09:56
Last Modified:	07 Nov 2022 09:56
URI:	https://pure.iiasa.ac.at/18348

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