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Volume 8, Number 5, 2018, Pages 1326-1341                                                                DOI:10.11948/2018.1326
Theory and approximation of solutions to a harvested Hierarchical age-structured population model
Zerong He,Dongdong Ni,Yan Liu
Keywords:Hierarchy of age, integro-differential system, well-posedness, numerical method, convergence.
      This article is concerned with theoretic analysis and numerical approximation of solutions to a hierarchical age-structured population model, in which the vital rates of an individual depend more on the number of older individuals. The well-posedness of the model is rigorously treated by means of fixed point principle, and an algorithm and convergence analysis are presented. An example is used to show the effectiveness of the numerical method.
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