Sliding motion and global dynamics of a Filippov fire-blight model with economic thresholds

DOI10.1016/J.NONRWA.2017.08.002zbMath1380.34075OpenAlexW2752301589MaRDI QIDQ1681035

Can Chen, Yan-Mei Kang, Robert J. Smith?

Publication date: 17 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.08.002

zbMATH Keywords

sliding modeequilibriumeconomic thresholdFilippov systemthreshold policyfire blight

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Unnamed Item
• An avian-only Filippov model incorporating culling of both susceptible and infected birds in combating avian influenza
• Modeling avian influenza using Filippov systems to determine culling of infected birds and quarantine
• The dynamics of plant disease models with continuous and impulsive cultural control strategies
• Sliding mode control of outbreaks of emerging infectious diseases
• Non-smooth plant disease models with economic thresholds
• A Filippov system describing media effects on the spread of infectious diseases
• Dynamical analysis of plant disease models with cultural control strategies and economic thresholds
• Sliding Bifurcations of Filippov Two Stage Pest Control Models with Economic Thresholds
• Bifurcations in Nonsmooth Dynamical Systems
• One-Parameter Bifurcations in Planar Filippov Systems

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