THEORY AND APPROXIMATION OF SOLUTIONS TO A HARVESTED HIERARCHICAL AGE-STRUCTURED POPULATION MODEL | Zendy

Ze-Rong He | Zendy; Dongdong Ni | Zendy; Yan Liu | Zendy

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THEORY AND APPROXIMATION OF SOLUTIONS TO A HARVESTED HIERARCHICAL AGE-STRUCTURED POPULATION MODEL

Author(s) -

Ze-Rong He,

Dongdong Ni,

Yan Liu

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1326

Subject(s) - mathematics , age structure , convergence (economics) , population model , population , numerical analysis , numerical approximation , multilevel model , mathematical optimization , computer science , statistics , demography , mathematical analysis , economics , sociology , economic growth

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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