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Dynamical Analysis of Delayed Plant Disease Models with Continuous or Impulsive Cultural Control Strategies
Joint Authors
Li, Zhenqing
Zhang, Tongqian
Meng, Xinzhu
Song, Yi
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-11
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
Delayed plant disease mathematical models including continuous cultural control strategy and impulsive cultural control strategy are presented and investigated.
Firstly, we consider continuous cultural control strategy in which continuous replanting of healthy plants is taken.
The existence and local stability of disease-free equilibrium and positive equilibrium are studied by analyzing the associated characteristic transcendental equation.
And then, plant disease model with impulsive replanting of healthy plants is also considered; the sufficient condition under which the infected plant-free periodic solution is globally attritive is obtained.
Moreover, permanence of the system is studied.
Some numerical simulations are also given to illustrate our results.
American Psychological Association (APA)
Zhang, Tongqian& Meng, Xinzhu& Song, Yi& Li, Zhenqing. 2012. Dynamical Analysis of Delayed Plant Disease Models with Continuous or Impulsive Cultural Control Strategies. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-471476
Modern Language Association (MLA)
Zhang, Tongqian…[et al.]. Dynamical Analysis of Delayed Plant Disease Models with Continuous or Impulsive Cultural Control Strategies. Abstract and Applied Analysis No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-471476
American Medical Association (AMA)
Zhang, Tongqian& Meng, Xinzhu& Song, Yi& Li, Zhenqing. Dynamical Analysis of Delayed Plant Disease Models with Continuous or Impulsive Cultural Control Strategies. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-471476
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471476