On the Uniqueness of the Solution to a Strongly Competing System
Avetik Arakelyan, Farid Bozorgnia
TL;DR
This paper proves the uniqueness of positive solutions for a strongly competing Lotka-Volterra system as competition intensity becomes infinitely large, clarifying the solution structure in this limiting case.
Contribution
It establishes the first rigorous proof of solution uniqueness in the limiting configuration of strongly competing systems.
Findings
Uniqueness of positive solutions in the limiting case.
Clarification of solution behavior as competition rate approaches infinity.
Mathematical framework for strongly competing systems.
Abstract
This work is devoted to prove uniqueness result for the positive solution to a strongly competing system of Lotka - Volterra type in the limiting configuration, when the competition rate tends to infinity.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Stochastic processes and statistical mechanics · Nonlinear Differential Equations Analysis