Dynamically Consistent Non-Standard Finite Difference Schemes for the MSEIR Epidemiological Model

机译：MSEIR流行病学模型动态一致的非标准有限差分方案

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We construct a family of non-standard finite difference schemes that are dynamically consistent with the MSEIR model in the sense that they replicate the global asymptotic stability of the disease-free equilibrium, the local asymptotic stability of the endemic equilibrium, as well as the positivity of exact solutions and the conservation of the population of the continuous model.

机译：我们构建了一个非标准有限差分方案，其与MSEIR模型有意义，以至于它们复制了无疾病平衡的全球渐近稳定性，流行均衡的局部渐近稳定性以及阳性完全的解决方案和持续模型人口的保护。

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《International Conference on Numerical Analysis and Applied Mathematics》|2009年||共4页
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Roumen Anguelov; Yves Dumont; Jean M-S Lubuma; Meir Shillor;
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中图分类数值分析;
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Dynamical systems; asymptotic stability; conservation of population; positivity; non-standard finite difference method;

机译：动态系统;渐近稳定性;守恒;阳性;非标准有限差分法;

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专利

1. Dynamically consistent nonstandard finite difference schemes for epidemiological models [J] . R. Anguelov, Y. Dumont, J.M.-S. Lubuma, Journal of Computational and Applied Mathematics . 2014,第Null期

机译：流行病学模型的动态一致非标准有限差分方案
2. Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation [J] . Martin-Vaquero J., Martin del Rey A., Encinas A. H., Journal of Computational and Applied Mathematics . 2017,第期

机译：恶意软件传播的MSEIR模型的高阶非标准有限差分方案
3. Topological dynamic consistency of non-standard finite difference schemes for dynamical systems [J] . Anguelov R., Lubuma J.M.-S., Shillor M. Journal of difference equations and applications . 2011,第11a12期

机译：动力系统非标准有限差分格式的拓扑动态一致性
4. Dynamically Consistent Non-Standard Finite Difference Schemes for the MSEIR Epidemiological Model [C] . Roumen Anguelov, Yves Dumont, Jean M-S Lubuma, International Conference on Numerical Analysis and Applied Mathematics . 2009

机译：MSEIR流行病学模型动态一致的非标准有限差分方案
5. A generalized fifteen-point finite-difference scheme for three-dimensional modeling of reservoir heterogeneities. [D] . Kim, Dukmin. 1993

机译：储层非均质性三维建模的广义十五点有限差分方案。
6. Modeling hemodynamics in intracranial aneurysms: Comparing accuracy of CFD solvers based on finite element and finite volume schemes [O] . Lorenzo Botti, Nikhil Paliwal, Pierangelo Conti, -1

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7. Dynamically consistent nonstandard finite difference schemes for epidemiological models [O] . Anguelov, Roumen, Dumont, Yves, Lubuma, Jean, 2014

机译：流行病学模型的动态一致非标准有限差分方案
8. Numerical Solutions of Three Dimensional Dynamic Crack Problems and Simulation of Dynamic Fracture Phenomena by a 'Non-Standard' Finite Difference Method. [R] . Chen, Y. M. 1977

机译：三维动态裂纹问题的数值解及“非标准”有限差分法模拟动态断裂现象。

Dynamically Consistent Non-Standard Finite Difference Schemes for the MSEIR Epidemiological Model

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