The existence and uniqueness of solutions of a nonlinear toxin-dependent size-structured population model
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Published:2022-09-30
Issue:3
Volume:3
Page:190-199
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ISSN:2563-1926
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Container-title:Mathematics in Applied Sciences and Engineering
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language:
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Short-container-title:Math Appl Sci Eng
Author:
Li Yan,Huang Qihua
Abstract
In this paper, we study a toxin-mediated size-structured population model with nonlinear reproduction, growth, and mortality rates. By using the characteristic method and the contraction mapping argument, we establish the existence-uniqueness of solutions to the model. We also prove the continuous dependence of solutions on initial conditions.
Publisher
University of Western Ontario, Western Libraries