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Your search keyword '"CUI, QIANQIAN"' showing total 2 results
Start Over Author "CUI, QIANQIAN" Journal journal of difference equations & applications
2 results on '"CUI, QIANQIAN"'

1. Global stability of a discrete SIR epidemic model with vaccination and treatment.

Author

Cui, Qianqian and Zhang, Qiang

Subjects
*EPIDEMIOLOGICAL models, *DISEASE susceptibility, *VACCINATION, *COMPUTATIONAL mathematics, *APPLIED mathematics
Abstract

In this paper, we study a discrete susceptible-infected-removed epidemic model with vaccination and treatment and it is shown that the global dynamics is determined by the basic reproduction number. If, then the disease-free equilibrium is globally asymptotically stable and if, then the endemic equilibrium is globally asymptotically stable. [ABSTRACT FROM PUBLISHER]

Published
2015
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2. An NSFD scheme for a class of SIR epidemic models with vaccination and treatment.

Author

Cui, Qianqian, Yang, Xia, and Zhang, Qiang

Subjects
*FINITE difference method, *EPIDEMIOLOGICAL models, *AIDS vaccines, *DISCRETE-time systems, *MATHEMATICAL models, *EULER method
Abstract

An non-standard finite difference scheme is employed to discuss a class of SIR epidemic model with vaccination and treatment. The dynamical properties of the discretized model are then analysed. The results demonstrate that the discretized epidemic model is dynamically consistent with the continuous model since it maintains essential properties of the corresponding continuous model, such as positivity property and boundness of solutions, equilibrium points and their local stability properties. [ABSTRACT FROM PUBLISHER]

Published
2014
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