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Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition

Yuan-Yuan Zhou is supported by NSFC No. 12171143

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  • We investigate the effect of photoinhibition in a nonlocal reaction-diffusion-advection equation, which models the dynamics of a single phytoplankton species in a water column where the growth of the species depends solely on light. First, for $ k_0 = 0 $, we proved that system (1)-(3) forms a strongly monotone dynamical system with respect to a non-standard cone related to the cumulative distribution function. Second, local and global bifurcation theory are used to show that the model with photoinhibition possesses multiple steady-states with the change of parameter ranges.

    Mathematics Subject Classification: Primary: 35k57, 92D25; Secondary: 35B51.


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