Periodic solution of a chemostat model with Beddington-DeAnglis uptake function and impulsive state feedback control
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Publication:1628802
DOI10.1016/j.jtbi.2009.07.016zbMath1403.92127OpenAlexW2021925903WikidataQ51808979 ScholiaQ51808979MaRDI QIDQ1628802
Zuxiong Li, Tie-Ying Wang, Lan-Sun Chen
Publication date: 11 December 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.07.016
periodic solutionfeedback controlimpulsive effectqualitative analysisglobally asymptotical stability
Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Physiological, cellular and medical topics (92C99)
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Cites Work
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- Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination
- The dynamics of an age structured predator-prey model with disturbing pulse and time delays
- A predator-prey model with disease in the prey and two impulses for integrated pest management
- Feedback control for chemostat models
- A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators
- Stage-structured impulsive \(SI\) model for pest management
- Complex dynamics of a Holling type II prey-predator system with state feedback control
- Modelling and analysis of integrated pest management strategy
- Staged-structured Lotka-Volterra predator-prey models for pest management
- Existence of periodic solution of order one of planar impulsive autonomous system
- PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA–VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS
- GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS
- A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
- Orbital stability of periodic solutions of autonomous systems with impulse effect
- Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
- A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
- Limiting Behavior for Competing Species
