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Stability and Sensitivity Analysis of a Plant Disease Model with Continuous Cultural Control Strategy
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a plant disease model with continuous cultural control strategy and time delay is formulated.
Then, how the time delay affects the overall disease progression and, mathematically, how the delay affects the dynamics of the model are investigated.
By analyzing the transendental characteristic equation, stability conditions related to the time delay are derived for the disease-free equilibrium.
Specially, when R0=1, the Jacobi matrix of the model at the disease-free equilibrium always has a simple zero eigenvalue for all τ≥0.
The center manifold reduction and the normal form theory are used to discuss the stability and the steady-state bifurcations of the model near the nonhyperbolic disease-free equilibrium.
Then, the sensitivity analysis of the threshold parameter R0 and the positive equilibrium E* is carried out in order to determine the relative importance of different factors responsible for disease transmission.
Finally, numerical simulations are employed to support the qualitative results.
American Psychological Association (APA)
Zhonghua, Zhang& Yaohong, Suo. 2014. Stability and Sensitivity Analysis of a Plant Disease Model with Continuous Cultural Control Strategy. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-454598
Modern Language Association (MLA)
Zhonghua, Zhang& Yaohong, Suo. Stability and Sensitivity Analysis of a Plant Disease Model with Continuous Cultural Control Strategy. Journal of Applied Mathematics No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-454598
American Medical Association (AMA)
Zhonghua, Zhang& Yaohong, Suo. Stability and Sensitivity Analysis of a Plant Disease Model with Continuous Cultural Control Strategy. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-454598
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454598