Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy

In this paper, a new stochastic plant disease model with continuous control strategy is proposed and analyzed. The dynamics of the system are explored under white noise disturbance. We prove that if R1>1, then the disease is persistent; moreover, if R2>1, then the solutions of the system have...

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Bibliographic Details
Main Authors: Haisu Zhang, Tongqian Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5550131
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Summary:In this paper, a new stochastic plant disease model with continuous control strategy is proposed and analyzed. The dynamics of the system are explored under white noise disturbance. We prove that if R1>1, then the disease is persistent; moreover, if R2>1, then the solutions of the system have a stationary distribution. For the special case, we prove that if R1<1, then the disease will eventually disappear. Finally, some numerical simulations were implemented to illustrate the theoretical results.
ISSN:1076-2787
1099-0526