Dynamics Analysis of a Filippov Pest Control Model with Time Delay

2021 ◽  
pp. 105865
Author(s):  
Ayman A. Arafa ◽  
Soliman A.A. Hamdallah ◽  
Sanyi Tang ◽  
Yong Xu ◽  
Gamal M. Mahmoud
Keyword(s):  
Time Delay ◽  
Pest Control ◽  
Control Model ◽  
Dynamics Analysis

scholarly journals Dynamics of a Stage Structure Pest Control Model with Impulsive Effects at Different Fixed Time

2009 ◽  
Vol 2009 ◽  
pp. 1-15 ◽  
Author(s):  
Bing Liu ◽  
Ying Duan ◽  
Yinghui Gao
Keyword(s):  
Time Delay ◽  
Pest Control ◽  
Natural Enemies ◽  
Stage Structure ◽  
Threshold Level ◽  
Fixed Time ◽  
Control Model ◽  
Pest Population ◽  
Maturation Time ◽  
Maturation Time Delay

Many existing pest control models, which control pests by releasing natural enemies, neglect the effect that natural enemies may get killed. From this point of view, we formulate a pest control model with stage structure for the pest with constant maturation time delay (through-stage time delay) and periodic releasing natural enemies and natural enemies killed at different fixed time and perform a systematic mathematical and ecological study. By using the comparison theorem and analysis method, we obtain the conditions for the global attractivity of the pest-eradication periodic solution and permanence of the system. We also present a pest management strategy in which the pest population is kept under the economic threshold level (ETL) when the pest population is uniformly permanent. We show that maturation time delay, impulsive releasing, and killing natural enemies can bring great effects on the dynamics of the system. Numerical simulations confirm our theoretical results.

Research on the Character of a Synchronous Control System with Wireless Data Communication

2010 ◽  
Vol 455 ◽  
pp. 206-210
Author(s):  
Jun Li Liu ◽  
Yan Yan Yan ◽  
G.Q. He
Keyword(s):  
Control System ◽  
Time Delay ◽  
Data Transmission ◽  
Data Communication ◽  
Control Model ◽  
Data Loss ◽  
Wireless Data ◽  
Synchronous Control ◽  
Wireless Data Transmission ◽  
Set Up

It discusses the reasons of the data transmission time delay and packets loss based on the theory of net data transmission. Aimed to the question of the time delay of data transmission and packets loss, the control system models are set up to analyze their influence to the performance of the control system. Based on the synchronous control model analysis with wireless data transmission, a method to control the system is reached with the state prediction when the communication error or data loss appears. It can control constantly when communication errors appear, and also it can get the most error period by numerical analysis.

The dynamics of pest control pollution model with age structure and time delay

2010 ◽  
Vol 216 (10) ◽  
pp. 2814-2823 ◽  
Author(s):  
Bing Liu ◽  
Qian Zhang ◽  
Yinghui Gao
Keyword(s):  
Time Delay ◽  
Pest Control ◽  
Age Structure

scholarly journals The Application of Time-Delay DependentH∞Control Model in Manufacturing Decision Optimization

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Haifeng Guo ◽  
Bo Wang ◽  
Jianhua Zhang ◽  
Song Chen ◽  
Yi Qiu
Keyword(s):  
Time Delay ◽  
Robust Control ◽  
State Feedback ◽  
Control Model ◽  
Optimal Decision ◽  
Management Process ◽  
Decision Optimization ◽  
Manufacturing Management ◽  
Manufacturing Resources ◽  
Delay Dependent

This paper uses a time-delay dependentH∞control model to analyze the effect of manufacturing decisions on the process of transmission from resources to capability. We establish a theoretical framework of manufacturing management process based on three terms: resource, manufacturing decision, and capability. Then we build a time-delayH∞robust control model to analyze the robustness of manufacturing management. With the state feedback controller between manufacturing resources and decision, we find that there is an optimal decision to adjust the process of transmission from resources to capability under uncertain environment. Finally, we provide an example to prove the robustness of this model.

scholarly journals Pest control using virus as control agent: A mathematical model

2012 ◽  
Vol 17 (1) ◽  
pp. 67-90 ◽  
Author(s):  
Sweta Pathak ◽  
Alakes Maiti
Keyword(s):  
Mathematical Model ◽  
Time Delay ◽  
Numerical Simulations ◽  
Pest Control ◽  
Control Agent ◽  
Regulatory Impact

It is now well recognised that biocontrol of pests is one of the best ecofriendly alternative for pest control. In this paper we have studied dynamical behaviours of a model for biocontrol of pests, where it is assumed that the pest is affected by a virus. Boundedness and stability of the model are studied. The effect of time-delay is investigated. Numerical simulations are carried out to illustrate our analytical findings. It is observed that the time-delay has a regulatory impact on the system. Biological implications of our results are discussed.

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