Existence and Stability of Coexistence States for a Nonlocal Evolution System

2011/05/20 by Guangyu Zhao, Zhao, Guangyu
Engineering · Mathematics · Medicine · #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1105.4154

openalex publication_date 2011/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• The evolution of dispersal
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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• A note on "Existence and uniqueness of coexistence states for an\n elliptic system coupled in the linear part", by Hei Li-Jun, Nonlinear Anal.\n Real World Appl. 5, 2004