Existence, uniqueness and asymptotic behavior of solutions for a nonsmooth producer-grazer system with stoichiometric constraints

DOI10.1080/00036811.2023.2173184zbMATH Open1541.35075MaRDI QIDQ6549305

Conghui Zhang, Haifeng Zhang, Shanbing Li

Publication date: 3 June 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Cites Work

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• Global analysis of a stoichiometric producer-grazer model with holling type functional responses
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• The elements of physical biology.
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• Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media
• Pattern formation with jump discontinuity in a macroalgae-herbivore model with strong Allee effect in macroalgae
• Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis
• Bifurcation from simple eigenvalues
• Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments
• Dynamics of a mechanistically derived stoichiometric producer-grazer model
• Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge
• Fluctuations in the abundance of a species considered mathematically.

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