We design, analyze and implement nonstandard finite difference (NSFD) schemes for some differential models in biosciences. The NSFD schemes are reliable in three directions. They are topologically dynamically consistent for onedimensional models. They can replicate the global asymptotic stability of the disease-free equilibrium of the MSEIR model in epidemiology whenever the basic reproduction number is less than 1. They preserve the positivity and boundedness property of solutions of advection-reaction and reaction-diffusion equations.
AIP conference proceedings. 2012 Oct 2;1487(1):212-223. doi: 10.1063/1.4758961
On nonstandard finite difference schemes in biosciences
非标准有限差分法在生物科学中的应用 翻译改进
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DOI: 10.1063/1.4758961 PMID: 32255872
摘要 Ai翻译
Keywords：biosciences
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