## The exact solution of nonlinear age-structured population model.(English)Zbl 1124.35030

The authors obtained the representation of the exact solution of an age-structured population model by turning the method of solution into solving an operator equation. Based on the success of the approach which is quite robust, an effective numerical algorithm for solving the approximate solution of population model is given. The effectiveness of the numerical scheme is ascertained by considering an example with numerical experiment.

### MSC:

 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 92D25 Population dynamics (general)

### Keywords:

effective numerical algorithm; reproducing kernel
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### References:

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