Complex dynamics of an impulsive control system in which predator species share a common prey

DOI10.1007/S00332-008-9034-XzbMath1172.92039OpenAlexW2013129150MaRDI QIDQ733759

Yongzhen Pei, Shaoying Liu, Changguo Li

Publication date: 19 October 2009

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-008-9034-x

Mathematics Subject Classification ID

Application models in control theory (93C95) Ordinary differential equations with impulses (34A37) Control problems involving ordinary differential equations (34H05) Ecology (92D40)

Related Items (7)

Modeling and analysis of integrated pest control strategies via impulsive differential equations ⋮ Chaos in predator-prey systems with/without impulsive effect ⋮ The periodic solutions for general periodic impulsive population systems of functional differential equations and its applications ⋮ Stability and bionomic analysis of fuzzy parameter based prey-predator harvesting model using UFM ⋮ Dynamic analysis of an antitumor model and investigation of the therapeutic effects for different treatment regimens ⋮ A Plant Virus Disease Model with Periodic Environment and Pulse Roguing ⋮ Attraction region for the classical Lotka-Volterra predator-prey model caused by impulsive effects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamic complexities of a food chain model with impulsive perturbations and Beddington-DeAngelis functional response
• Discrete time models for two-species competition
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• The dynamics of an infectious disease in a population with birth pulses
• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
• The dynamics of a prey-dependent consumption model concerning impulsive control strategy
• Pulse vaccination strategy in a delayed SIR epidemic model with vertical transmission

This page was built for publication: Complex dynamics of an impulsive control system in which predator species share a common prey