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

Zerong He; Dongdong Ni; Yan Liu

doi:10.11948/2018.1326

2018 Volume 8 Issue 5

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Zerong He, Dongdong Ni, Yan Liu. THEORY AND APPROXIMATION OF SOLUTIONS TO A HARVESTED HIERARCHICAL AGE-STRUCTURED POPULATION MODEL[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1326-1341. doi: 10.11948/2018.1326

Citation:

Zerong He, Dongdong Ni, Yan Liu. THEORY AND APPROXIMATION OF SOLUTIONS TO A HARVESTED HIERARCHICAL AGE-STRUCTURED POPULATION MODEL[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1326-1341. doi: 10.11948/2018.1326

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

1 Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, 310018 Hangzhou, China;
2 Department of Mathematics, China JiLiang University, 310018 Hangzhou, China

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Abstract

Abstract

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.
- Hierarchy of age /
- integro-differential system /
- well-posedness /
- numerical method /
- convergence
MSC: 92D05;47D06;35B35

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References

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