STABILITY ANALYSIS OF THE TRANSMISSION DYNAMICS OF AN HBV MODEL

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AKBARI R.; VAHIDIAN KAMYAD A.; HEYDARI A.A.; HEYDARI A.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2016 | Volume:8 | Issue:2 Page(s): 119-129

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Title

STABILITY ANALYSIS OF THE TRANSMISSION DYNAMICS OF AN HBV MODEL

Author(s)

AKBARI R. | VAHIDIAN KAMYAD A. | HEYDARI A.A" target="_blank"> HEYDARI A.A. | HEYDARI A. | Issue Writer Certificate

Keywords

HEPATITIS B VIRUS (HBV)Q2

BASIC REPRODUCTION NUMBER (R 0)Q2

GOMPOUND MATRICESQ2

GLOBAL STABILITYQ2

Abstract

Hepatitis B virus (HBV) infection is a major public health problem in the world today. A mathematical model is formulated to describe the spread of hepatitis B, which can be controlled by vaccination as well as treatment. We study the dynamical behavior of the system with fixed control for both vac-cination and treatment. The results shows that the dynamics of the model is completely determined by the basic reproductive number R 0. if R 0<1, the disease-free equilibrium is globally asymptot-ically stable by using approach that given by Kamgang and Sallet. Then the authors prove that if R0>1, the disease-free equilibrium is unstable and the disease is uniformly persistent. Furthermore, If R0>1, the unique endemic equilibrium is globally asymptotically stable by using a generalization of the Poincar e-Bendixson criterion.

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References

MATHEMATICAL MODELING OF TRANSMISSION DYNAMICS AND OPTIMAL CONTROL OF VACCINATION AND TREATMENT FOR HEPATITIS B VIRUS

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APA: Copy

AKBARI, R., VAHIDIAN KAMYAD, A., HEYDARI, A.A., & HEYDARI, A.. (2016). STABILITY ANALYSIS OF THE TRANSMISSION DYNAMICS OF AN HBV MODEL. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 8(2), 119-129. SID. https://sid.ir/paper/231710/en

Vancouver: Copy

AKBARI R., VAHIDIAN KAMYAD A., HEYDARI A.A., HEYDARI A.. STABILITY ANALYSIS OF THE TRANSMISSION DYNAMICS OF AN HBV MODEL. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2016;8(2):119-129. Available from: https://sid.ir/paper/231710/en

IEEE: Copy

R. AKBARI, A. VAHIDIAN KAMYAD, A.A. HEYDARI, and A. HEYDARI, “STABILITY ANALYSIS OF THE TRANSMISSION DYNAMICS OF AN HBV MODEL,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 8, no. 2, pp. 119–129, 2016, [Online]. Available: https://sid.ir/paper/231710/en

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