The mathematical study of pest management strategy

DOI10.1155/2012/251942zbMath1256.93049OpenAlexW2140278755WikidataQ58700407 ScholiaQ58700407MaRDI QIDQ1936009

Yanzhen Wang, Jin-Bo Fu

Publication date: 21 February 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/251942

zbMATH Keywords

mathematical modelorbital asymptotic stabilitypest managementimpulsive state feedback control1-periodic solutiongeometric theory of differential equations

Mathematics Subject Classification ID

Related Items (6)

Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism ⋮ Modelling and qualitative analysis of water hyacinth ecological system with two state-dependent impulse controls ⋮ A pest management model with stage structure and impulsive state feedback control ⋮ Geometric analysis of an integrated pest management model including two state impulses ⋮ Dynamics of bilateral control system with state feedback for price adjustment strategy ⋮ Periodic solution of the system with impulsive state feedback control

Cites Work

• Multi-state dependent impulsive control for Holling I predator-prey model
• Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
• Dynamic analysis of an impulsively controlled predator-prey model with Holling type IV functional response
• Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations
• Stability of impulsive functional differential equations
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• Nonlinear boundary value problem of first order impulsive functional differential equations
• Existence of periodic solution of order one of planar impulsive autonomous system
• IMPULSIVE CONTROL IN MICROORGANISMS CONTINUOUS FERMENTATION
• THE EFFECTS OF TIMING OF PULSE SPRAYING AND RELEASING PERIODS ON DYNAMICS OF GENERALIZED PREDATOR-PREY MODEL
• DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL

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