DYNAMIC COMPLEXITY OF A PREDATOR-PREY MODEL FOR IPM WITH NONLINEAR IMPULSIVE CONTROL INCORPORATING A REGULATORY FACTOR FOR PREDATOR RELEASES

DOI10.3846/mma.2019.010zbMath1471.92267OpenAlexW2907413564WikidataQ115484109 ScholiaQ115484109MaRDI QIDQ4959431

Sanyi Tang, Robert A. Cheke, Yuan Tian

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2019.010

zbMATH Keywords

random perturbationIPMnonlinear control actionpest free periodic solutionswitch-like transition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Pest management (92D45) Impulsive control/observation systems (93C27)

Related Items (9)

Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control ⋮ The impulsive model with pest density and its change rate dependent feedback control ⋮ Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay ⋮ Models for determining the optimal switching time in chemical control of pest with pesticide resistance ⋮ Modelling the effects of pest control with development of pesticide resistance ⋮ Analysis of a hybrid pest management model incorporating pest resistance and different control strategies ⋮ An SI integrated pest management model with pesticide resistance to susceptible pests ⋮ Global dynamics of a Filippov predator-prey model with two thresholds for integrated pest management ⋮ Complex dynamics in a Filippov pest control model with group defense

Cites Work

• Integrated pest management models and their dynamical behaviour
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• Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak
• State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences
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• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Optimum timing for integrated pest management: modelling rates of pesticide application and natural enemy releases
• Threshold conditions for integrated pest management models with pesticides that have residual effects
• Modelling and analysis of integrated pest management strategy
• The dynamics of a prey-dependent consumption model concerning integrated pest management
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