Existence and Stability of Coexistence States for a Nonlocal Evolution System
Guangyu Zhao
TL;DR
This paper investigates a nonlocal evolution system, establishing the existence and stability of coexistence states using bifurcation theory, contributing to the understanding of complex dynamical behaviors in such systems.
Contribution
It introduces a novel application of bifurcation theory to analyze coexistence states in nonlocal evolution systems, providing new insights into their stability properties.
Findings
Existence of coexistence states confirmed
Stability conditions for coexistence states derived
Bifurcation analysis applied to nonlocal systems
Abstract
In this paper, we study a nonlocal evolution system. We apply abstract results from the bifurcation theory to obtain the existence of coexistence states. Their stability are investigated as well.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Stability and Controllability of Differential Equations · Nonlinear Differential Equations Analysis