Stability Analysis of the Solution to a System of Nonlinear Integral Equations Arising in a Logistic Dynamics Model

被引：0
|
作者：
Nikolaev, M. V. [1 ,2 ]
Nikitin, A. A. [1 ,3 ]
Dieckmann, U. [4 ,5 ,6 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Computat Math & Cybernet, Moscow, Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
[3] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia
[4] Grad Univ, Okinawa Inst Sci & Technol, Onna, Japan
[5] Int Inst Appl Syst Anal, Laxenburg, Austria
[6] Grad Univ Adv Studies, Hayama, Japan
来源：
DOKLADY MATHEMATICS | 2022年 / 106卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
functional analysis; nonlinear integral equations; mathematical biology; POPULATION-DYNAMICS;
D O I：
10.1134/S1064562422700144
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we analyze a system of nonlinear integral equations resulting from the three-parameter closure of the third spatial moments in the logistic dynamics model of U. Dieckmann and R. Law in the multi-species case. Specifically, the conditions under which the solution of this system is stable with respect to the closure parameters are investigated. To do this, the initial system of equations is represented as a single operator equation in a special Banach space, after which the generalized fixed point principle is applied.
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页码：445 / 448
页数：4
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