A Fractional-Order Model for Zika Virus Infection with Multiple Delays
Joint Authors
Rakkiyappan, Rajan
Latha, V. Preethi
Rihan, Fathalla A.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-14
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Time delays and fractional order play a vital role in biological systems with memory.
In this paper, we propose an epidemic model for Zika virus infection using delay differential equations with fractional order.
Multiple time delays are incorporated in the model to consider the latency of the infection in a vector and the latency of the infection in the infected host.
We investigate the necessary and sufficient conditions for stability of the steady states and Hopf bifurcation with respect to three time delays τ1, τ2, and τ3.
The model undergoes a Hopf bifurcation at the threshold parameters τ1∗, τ2∗, and τ3∗.
Some numerical simulations are given to show the effectiveness of obtained results.
The numerical simulations confirm that combination of fractional order and time delays in the epidemic model effectively enriches the dynamics and strengthens the stability condition of the model.
American Psychological Association (APA)
Rakkiyappan, Rajan& Latha, V. Preethi& Rihan, Fathalla A.. 2019. A Fractional-Order Model for Zika Virus Infection with Multiple Delays. Complexity،Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1131725
Modern Language Association (MLA)
Rakkiyappan, Rajan…[et al.]. A Fractional-Order Model for Zika Virus Infection with Multiple Delays. Complexity No. 2019 (2019), pp.1-20.
https://search.emarefa.net/detail/BIM-1131725
American Medical Association (AMA)
Rakkiyappan, Rajan& Latha, V. Preethi& Rihan, Fathalla A.. A Fractional-Order Model for Zika Virus Infection with Multiple Delays. Complexity. 2019. Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1131725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131725