Global attractivity of delayed and nonlocal diffusive logistic models with variable coefficients

In this paper, we consider a reaction-diffusion equation with continuous delay and spatial variable coefficients which models the evolution of a single species. We establish a sharp threshold dynamic result: there exists a critical value λ(a) such that if λ(a)

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Bibliographic Details
Published in:Journal of Differential Equations 2021-10, Vol.299, p.229-255
Main Authors: Deng, Keng, Wu, Yixiang
Format: Article
Language:English
Subjects:
Continuous delay
Global attractivity
Reaction-diffusion equation
Spatial nonlocality
ω-Limit set
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Summary:In this paper, we consider a reaction-diffusion equation with continuous delay and spatial variable coefficients which models the evolution of a single species. We establish a sharp threshold dynamic result: there exists a critical value λ(a) such that if λ(a)
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2021.07.022