 The convergence and stability of full discretization scheme for stochastic age-structured population modelsChunmei Shi Applied Mathematics and Computation, 2021, vol. 396, issue C Abstract: In this paper, a fully discretization scheme based on the implicit Euler method (IM) is considered for stochastic age-structured population models. The preservation of the total population with a suitable numerical boundary condition according to the biological meanings are shown. An explicit formula of the numerical basic reproductive number Rh is proposed by the technique that the numerical process is embedded into an l1(R)-valued integrable stochastic process with infinite stochastic Leslie operators. Furthermore, the convergence and connection between Rh and the stability of numerical solution is analyzed. The preservation and detection of the analytic stability through the numerical solutions are discussed for small stepsize. Finally, some numerical experiments including an infection-age model for modified SARS epidemic illustrate the verification and efficiency of our analysis. Keywords: Stochastic aged-structured population models; Numerical basic reproduction number; Infinite stochastic Leslie operators; Convergence order (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308201 DOI: 10.1016/j.amc.2020.125867 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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