A pest management model with stage structure and impulsive state feedback control
type: Item
instance of: scholarly article
title: A pest management model with stage structure and impulsive state feedback control
zbMATH Open document ID: 1418.92124
DOI: 10.1155/2015/617379
author: Guoping Pang
author: Zhiqing Liang
author: Weijian Xu
author: Lijie Li
author: Gang Fu
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 7025427
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/617379
OpenAlex ID: W1500009194
Wikidata QID: Q59106043
cites work: Extinction and permanence in delayed stage-structure predator-prey system with impulsive effects
cites work: A stage-structured predator-prey SI model with disease in the prey and impulsive effects
cites work: Dynamics of a stage structure pest control model with impulsive effects at different fixed time
cites work: The effect of impulsive diffusion on dynamics of a stage-structured predator-prey system
cites work: Impulsive state feedback control of a predator-prey model
cites work: Modeling and qualitative analysis of diabetes therapies with state feedback control
cites work: Dynamic analysis of a turbidostat model with the feedback control
cites work: Nonlinear analysis of a microbial pesticide model with impulsive state feedback control
cites work: Q4927507
cites work: A Leslie-Gower pest management model with impulsive state feedback control
cites work: Q4325523
cites work: The mathematical study of pest management strategy
cites work: Mathematical and dynamic analysis of a prey-predator model in the presence of alternative prey with impulsive state feedback control
cites work: Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I
description: scientific article; zbMATH DE number 7025427