Geometric analysis of a pest management model with Holling's type III functional response and nonlinear state feedback control
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Publication:333032
DOI10.1007/s11071-015-2586-zzbMath1354.93066OpenAlexW2236115227MaRDI QIDQ333032
Tonghua Zhang, Tongqian Zhang, Jian Zhang, Xin-Zhu Meng
Publication date: 9 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2586-z
stabilityperiodic solutionsaturation effectHolling's type III functional responseintegrated pest management (IPM)nonlinear state feedback control
Epidemiology (92D30) Feedback control (93B52) Dynamical systems in biology (37N25) Nonlinear systems in control theory (93C10)
Related Items (12)
Geometrical analysis and control optimization of a predator-prey model with multi state-dependent impulse ⋮ A stochastic differential equation model for pest management ⋮ The impulsive model with pest density and its change rate dependent feedback control ⋮ Dynamical analysis of a class of prey-predator model with Beddington-DeAngelis functional response, stochastic perturbation, and impulsive toxicant input ⋮ Periodic solution and control optimization of a prey-predator model with two types of harvesting ⋮ Dynamic analysis of a prey-predator model with state-dependent control strategy and square root response function ⋮ THE GEOMETRICAL ANALYSIS OF A PREDATOR-PREY MODEL WITH MULTI-STATE DEPENDENT IMPULSES ⋮ Modelling and analysis of a stochastic nonautonomous predator-prey model with impulsive effects and nonlinear functional response ⋮ Mathematical model for continuous delayed single-species population with impulsive state feedback control ⋮ Asymptotic stability of one prey and two predators model with two functional responses ⋮ Bifurcation analysis of an ecological model with nonlinear state-dependent feedback control by Poincaré map defined in phase set ⋮ The state-dependent impulsive model with action threshold depending on the pest density and its changing rate
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