Stability and Hopf bifurcation of a within-host chikungunya virus infection model with two delays

Yan Wang and Xianning Liu

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 138, issue C, 31-48

Abstract: In this paper, a within-host chikungunya virus infection model with two delays is considered. The basic reproductive number R0 is formulated. If R0<1, the virus-free equilibrium is globally asymptotically stable and the disease always dies out. If R0>1, the global stability of the unique endemic equilibrium E1 is proved for the case without the time delay of antigenic stimulation, which can change the stability of E1 and lead to the existence of Hopf bifurcation. Furthermore, explicit formulae for determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are established. Finally, some numerical simulations are presented to illustrate the results.

Keywords: Within-host model; Chikungunya virus infection; Delay; Global stability; Hopf bifurcation (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:138:y:2017:i:c:p:31-48

DOI: 10.1016/j.matcom.2016.12.011

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