Non-polluted pest management model with state-dependent impulsive control

Abstract

Abstract: A non-polluted pest management model with state-dependent impulsive control is established. By using successor function of differential equation geometry, the sufficient conditions for the existence and orbital asymptotic stability of order 1 periodic solution are obtained. Finally, numerical simulations are carried out to illustrate the main results.

Key words: state-dependent impulsive differential equation, order 1 periodic solution, successor function, stability

摘要： 研究具有状态依赖脉冲控制的无公害害虫管理模型，利用微分方程几何理论中后继函数法得到系统阶一周期解存在的充分条件，证明该周期解是轨道渐近稳定的，并对系统进行了数值模拟。

关键词: 状态依赖脉冲微分方程, 阶一周期解, 后继函数, 稳定性

SONG Yan, JIANG Wei, ZHANG Tingting. Non-polluted pest management model with state-dependent impulsive control[J]. Computer Engineering and Applications, 2016, 52(20): 231-234.

宋燕，姜威，张庭婷. 具有状态依赖脉冲控制的无公害害虫管理模型[J]. 计算机工程与应用, 2016, 52(20): 231-234.

[1]	CUI Zengle, QIAN Xiaodong. Research on Optimization of Information Spreading Model of Blockchain Social Network [J]. Computer Engineering and Applications, 2021, 57(7): 59-69.
[2]	LI Fuqiang, GAO Lisai, ZHENG Baozhou, GU Xiaoqing. Event-Triggered Secure Control for Networked Systems Under Deception Attacks [J]. Computer Engineering and Applications, 2021, 57(5): 264-270.
[3]	WEI Baoguo, ZHANG Yulan, ZHOU Jiaming. Feature Point Selection for Image Matching [J]. Computer Engineering and Applications, 2021, 57(3): 208-214.
[4]	GONG Xinjie, LI Deshi. Communication Network Performance Simulation and Analysis of Wide Area Stability Control System [J]. Computer Engineering and Applications, 2019, 55(8): 66-73.
[5]	LI Qiang, YU Fengqin. Improved Melody Extraction Algorithm Based on Pitch Salience [J]. Computer Engineering and Applications, 2019, 55(3): 115-119.
[6]	XIONG Huafeng, SUN Yinghua, LI Jianbo, LIAN Wenjuan, LIU Xueqing. Solving of Multi-Attribute Bilateral Matching Problem Under Background of Shared Economy [J]. Computer Engineering and Applications, 2019, 55(24): 222-228.
[7]	CHEN Jie, ZHANG Wendong, SU Linlin, SANG Shengbo. Spacecraft Attitude-Orbit Control Algorithm Based on Lyapunov Stability Criterion and CPSO Algorithm [J]. Computer Engineering and Applications, 2019, 55(24): 229-234.
[8]	FENG Xiaozhou, ZHOU Yao. Long Time Behavior of Solutions for Predator-Prey System with Saturated Competition and Leslie-Gower Functional Response [J]. Computer Engineering and Applications, 2019, 55(2): 50-53.
[9]	WEN Zongzhou, LI Lu, LI Limin, GAO Yuanping, CHENG Shaokang, LIU Deyang. Study on Landslide Prediction Model Based on Optimized GD-Fuzzy Rule [J]. Computer Engineering and Applications, 2019, 55(10): 250-255.
[10]	WANG Shikai1，2, JIN Hongzhang1. Nonlinear non-minimum phase rudder-roll damping systems of ship using sliding mode control [J]. Computer Engineering and Applications, 2018, 54(9): 207-212.
[11]	QUAN Hongzheng1, ZHENG Lifei2, ZHOU Xueyong3. Stability properties and Hopf bifurcation of HBV epidemic model with delayed immune response [J]. Computer Engineering and Applications, 2018, 54(21): 99-106.
[12]	HAN Yu1, SHAO Cheng2, ZHAO Xiaowei1. Research of group cooperative behaviors on two-dimensional plane grid based on migration cost [J]. Computer Engineering and Applications, 2018, 54(13): 47-51.
[13]	ZHANG Xu, SUN Fuzhen, FANG Chun, GUO Rui. Collaborative filtering algorithm with stability of interest and time-sensitive [J]. Computer Engineering and Applications, 2018, 54(11): 161-165.
[14]	PEI Wenjie, WANG Feng, TAN Yanghong, YIN Jian, JIANG Qinji. Multi-objective optimal strategy for units start-up during power system restoration based on bat algorithm [J]. Computer Engineering and Applications, 2017, 53(2): 225-230.
[15]	LI Tenglong, HUI Fei. Numerical simulation of car-following model considering optimal velocity changes with memory and backward looking effect [J]. Computer Engineering and Applications, 2017, 53(12): 249-254.

Non-polluted pest management model with state-dependent impulsive control

具有状态依赖脉冲控制的无公害害虫管理模型

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics