scholarly journals A pest management model with state feedback control

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Qiong Liu ◽  
Lizhuang Huang ◽  
Lansun Chen
Keyword(s):  
Feedback Control ◽  
Pest Management ◽  
State Feedback ◽  
State Feedback Control ◽  
Management Model

scholarly journals A Pest Management Model with Stage Structure and Impulsive State Feedback Control

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Guoping Pang ◽  
Zhiqing Liang ◽  
Weijian Xu ◽  
Lijie Li ◽  
Gang Fu
Keyword(s):  
Periodic Solution ◽  
Feedback Control ◽  
Pest Management ◽  
State Feedback ◽  
Stage Structure ◽  
State Feedback Control ◽  
Management Model ◽  
Continuous Systems ◽  
Impulsive State Feedback Control ◽  
The Stability

A pest management model with stage structure and impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the stability of the order-1 periodic solution of the semicontinuous systems by referencing the stability analysis for limit cycles of continuous systems, which is different from the previous method of analog of Poincarè criterion. Finally, we analyze numerically the theoretical results obtained.

scholarly journals Dynamic Analysis of a Pest Management Smith Model with Impulsive State Feedback Control and Continuous Delay

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 591 ◽  
Author(s):  
Zhenzhen Shi ◽  
Yaning Li ◽  
Huidong Cheng
Keyword(s):  
Feedback Control ◽  
Periodic Orbit ◽  
Pest Management ◽  
State Feedback ◽  
State Feedback Control ◽  
Impulsive State Feedback Control ◽  
Continuous Delay ◽  
The Stability ◽  
Theoretical Results ◽  
Smith Model

In our paper, we propose a single population Smith model with continuous delay and impulsive state feedback control. The application in pest management of this model is investigated. First, the singularity of this model is qualitatively analyzed; then, we consider the existence and uniqueness of order-one periodic orbit in order to determine the frequency of the implementation of chemical control. Moreover, based on the limit method of the sequences of subsequent points, we verify the stability of periodic orbit to ensure a certain robustness of this control; at last, we carry out the numerical simulations to verify the correctness of the theoretical results.

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