International Journal of Mathematics Trends and Technology
Volume 68 | Issue 10 | Year 2022 | Article Id. IJMTT-V68I10P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I10P504
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 28 Aug 2022 | 06 Oct 2022 | 17 Oct 2022 | 28 Oct 2022 |
The numerical solutions of the stochastic age-structured population models may appear negative when the disturbance intensity is sufficiently large. This phenomenon goes against the biological meaning and people’s cognition, but it is indeed the case. In order to circumvent this unreasonable situation, this paper aims to construct a full-discrete positivepreserving numerical scheme for stochastic age-structured population models. The technique we use is based on the balanced implicit method (BIM), a relatively mature tool that plays a crucial role in the issue of keeping positivity. Also，we proved the convergence of new numerical scheme we obtained, the strong convergence order is 1/2. At last, several numerical experiments are given to verify the accuracy of theoretical results.
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Wenjuan Wang, "Construction of Positivity Preserving Full-Discrete Scheme for Stochastic Age-Structured Population Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 10, pp. 20-27, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I10P504
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