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Zhang, Tongqian; Meng, Xinzhu; Song, Yi; Li, Zhenqing

Dynamical analysis of delayed plant disease models with continuous or impulsive cultural control strategies. (English) Zbl 1237.93134

Abstr. Appl. Anal. 2012, Article ID 428453, 25 p. (2012).
Summary: 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.

Cited in 13 Documents

MSC:

93C95 Application models in control theory
92B20 Neural networks for/in biological studies, artificial life and related topics
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