![](/images/graphics-bg.png)
Stability and Hopf Bifurcation Analysis of a Plant Virus Propagation Model with Two Delays
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
To understand the interaction between the insects and the plants, a system of delay differential equations is proposed and studied.
We prove that if R0≤1, the disease-free equilibrium is globally asymptotically stable for any length of time delays by constructing a Lyapunov functional, and the system admits a unique endemic equilibrium if R0>1.
We establish the sufficient conditions for the stability of the endemic equilibrium and existence of Hopf bifurcation.
Using the normal form theory and center manifold theorem, the explicit formulae which determine the stability, direction, and other properties of bifurcating periodic solutions are derived.
Some numerical simulations are given to confirm our analytic results.
American Psychological Association (APA)
Liu, Junli& Zhang, Tailei. 2018. Stability and Hopf Bifurcation Analysis of a Plant Virus Propagation Model with Two Delays. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1152764
Modern Language Association (MLA)
Liu, Junli& Zhang, Tailei. Stability and Hopf Bifurcation Analysis of a Plant Virus Propagation Model with Two Delays. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1152764
American Medical Association (AMA)
Liu, Junli& Zhang, Tailei. Stability and Hopf Bifurcation Analysis of a Plant Virus Propagation Model with Two Delays. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1152764
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152764