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

Author

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  • Zhao, Xiao
  • Zhang, Xiaofeng
  • Yuan, Rong

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.

Suggested Citation

  • Zhao, Xiao & Zhang, Xiaofeng & Yuan, Rong, 2021. "The principal eigenvalue for a time-space periodic reaction-diffusion-advection equation with delay nutrient recycling," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004884
    DOI: 10.1016/j.chaos.2021.111134
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