Time-limited pest control of a Lotka-Volterra model with impulsive harvest

DOI10.1016/j.nonrwa.2007.11.007zbMath1167.34306OpenAlexW2065031505MaRDI QIDQ837675

Hongjian Guo, Lan-Sun Chen

Publication date: 20 August 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.11.007

zbMATH Keywords

comparison principleboundary value problemimpulsive differential equationimpulsive controlLotka-Volterra predator-prey modelupper and lower solution

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (11)

Variational approach to impulsive differential system ⋮ Prey-predator model with two-stage infection in prey: concerning pest control ⋮ A mathematical study of a prey-predator model in relevance to pest control ⋮ Stability and bifurcation analysis for a discrete-time model of Lotka-Volterra type with delay ⋮ Piecewise linear approximation and polyhedral surfaces ⋮ The dynamics of an epidemic model for pest control with impulsive effect ⋮ A study on time-limited control of single-pest with stage-structure ⋮ On competitive Lotka-Volterra model in random environments ⋮ An application of variational methods to Dirichlet boundary value problem with impulses ⋮ Feasibility of time-limited control of a competition system with impulsive harvest ⋮ A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis

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