一类埃博拉传染病模型的动力学分析

Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (3): 577-592.

Dynamics Analysis of an Ebola Epidemic Model

Wei Aiju¹, Zhang Xinjian¹, Wang Junyi², Li Kezan^1,3

1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guangxi Guilin 541004;
2 Guangxi Key Laboratory of Wireless Wideband Communication and Signal Processing, Guangxi Guilin 541004;
3 Guangxi Key Laboratory of Cryptography and Information Security, Guangxi Guilin 541004

Received:2016-10-13 Revised:2017-03-07 Online:2017-06-26 Published:2017-06-26
Supported by:
Supported by the NSFC (61663006, 61261017) and the Natural Science Foundation Program of Guangxi Province (2015GXNSFBB139002) and Guangxi Key Laboratory of Cryptography and Information Security (GCIS201612)

Abstract

Abstract: In this paper, we consider the human-animal coupling epidemic where an Ebola epidemic model with isolation compartment and animal compartment is proposed. Then, the basic reproductive number is obtained by using the method of the second generation matrix. Applying the stability theory and dynamical system theory, we prove both the existence and global stability of disease-free equilibrium, boundary equilibrium and coexistence equilibrium. Moreover, sensitivity analysis of model's parameters is also performed. Finally, the theoretical results are all verified by numerical simulations. This work has important significance for guiding us to prevent and control the Ebola spread.

Key words: Ebola virus, The basic reproduction number, Global stability, Sensitivity analysis

CLC Number:

O175.1

Wei Aiju, Zhang Xinjian, Wang Junyi, Li Kezan. Dynamics Analysis of an Ebola Epidemic Model[J].Acta mathematica scientia,Series A, 2017, 37(3): 577-592.

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Dynamics Analysis of an Ebola Epidemic Model

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