Abstract
A size-distribution model incorporating density-dependent growth rates is proposed. The global existence and uniqueness of non-negative solutions are shown. The existence and stability of stationary solutions are also investigated. It is shown that the number of stationary solutions and their stability are completely determined by the density-dependent form of growth rates.
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Mimura, M., Takigawa, Sy. A size-distribution model with density-dependent growth rates. Japan J. Appl. Math. 5, 33–51 (1988). https://doi.org/10.1007/BF03167900
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DOI: https://doi.org/10.1007/BF03167900