The principal eigenvalue for a time-space periodic reaction-diffusion-advection equation with delay nutrient recycling

Xiao Zhao, Xiaofeng Zhang and Rong Yuan

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this paper, we propose and analyze a growth model of autotrophic microorganism, which is a time-space periodic reaction-diffusion-advection equation with delay nutrient recycling. First, by the linear chains technique, we transform the reaction-diffusion-advection model with a distributed delay into the equivalent system without distributed delay, then, we establish the existence of the principal eigenvalue of this system, it is a basic tool to study the reaction-diffusion-advection equation. Finally, some conclusions are given.

Keywords: Time-space periodic; Reaction-diffusion-advection equation; Distributed delay; Principal eigenvalue (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004884

DOI: 10.1016/j.chaos.2021.111134

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