Mumps Virus

Gutierrez, Kathleen

doi:10.1016/b978-0-7020-3468-8.50230-3

Principles and Practice of Pediatric Infectious Disease 2008

DOI: 10.1016/b978-0-7020-3468-8.50230-3

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Mumps Virus

Kathleen Gutierrez¹

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2021

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Global Stability of a Mumps Transmission Model with Quarantine Measure

Bai

Wang

Guo

2021

Acta Math. Appl. Sin. Engl. Ser.

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In this paper, a model of mumps transmission with quarantine measure is proposed and then the control reproduction number Rc of the model is obtained. This model admits a unique endemic equilibrium P * if and only if Rc > 1, while the disease-free equilibrium P 0 always exists. By using the technique of constructing Lyapunov functions and the generalized Lyapunov-LaSalle theorem, we first show that the equilibrium P 0 is globally asymptotically stable (GAS) if Rc ≤ 1; second, we prove that the equilibrium P * is GAS if Rc > 1.Our results reveal that mumps can be eliminated from the community for Rc ≤ 1 and it will be persistent for Rc > 1, and quarantine measure can also effectively control the mumps transmission.

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Global Stability of a Mumps Transmission Model with Quarantine Measure

Bai

Wang

Guo

2021

Acta Math. Appl. Sin. Engl. Ser.

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Mumps Virus

Cited by 1 publication

References 98 publications

Global Stability of a Mumps Transmission Model with Quarantine Measure

Global Stability of a Mumps Transmission Model with Quarantine Measure

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