Global Dynamics and Rich Sliding Motion in an Avian-Only Filippov System in Combating Avian Influenza

DOI10.1142/S021812742050008XzbMath1436.34053OpenAlexW3005810440MaRDI QIDQ5220442

Youping Yang, Ling-Jun Wang

Publication date: 23 March 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812742050008x

zbMATH Keywords

sliding modebifurcation analysisthreshold policyFilippov modelavian flu

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Modeling plant virus propagation with Filippov control ⋮ Effects of Predator-Driven Prey Dispersal on Sustainable Harvesting Yield ⋮ Rich dynamics of a Filippov plant disease model with time delay ⋮ Rich dynamics of a Filippov avian-only influenza model with a nonsmooth separation line ⋮ Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay ⋮ Non-smooth dynamics of a fishery model with a two-threshold harvesting policy

Cites Work

• Unnamed Item
• An avian-only Filippov model incorporating culling of both susceptible and infected birds in combating avian influenza
• Permanence and extinction for a nonautonomous avian-human influenza epidemic model with distributed time delay
• Nonlinear dynamics of avian influenza epidemic models
• Modeling avian influenza using Filippov systems to determine culling of infected birds and quarantine
• Avian-human influenza epidemic model
• Avian flu pandemic: can we prevent it?
• Optimal control strategy for prevention of avian influenza pandemic
• Sliding motion and global dynamics of a Filippov fire-blight model with economic thresholds
• Global dynamics of an avian influenza A(H7N9) epidemic model with latent period and nonlinear recovery rate
• Modelling the effects of cutting off infected branches and replanting on fire-blight transmission using Filippov systems
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Sliding mode control of outbreaks of emerging infectious diseases
• Piecewise-smooth dynamical systems. Theory and applications
• Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects
• Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
• The Interaction of Migratory Birds and Domestic Poultry and Its Role in Sustaining Avian Influenza
• A discrete model of avian influenza with seasonal reproduction and transmission
• One-Parameter Bifurcations in Planar Filippov Systems
• AVIAN INFLUENZA A H7N9 VIRUS HAS BEEN ESTABLISHED IN CHINA
• An Advection and Age-Structured Approach to Modeling Bird Migration and Indirect Transmission of Avian Influenza
• Bifurcations in nonlinear discontinuous systems

This page was built for publication: Global Dynamics and Rich Sliding Motion in an Avian-Only Filippov System in Combating Avian Influenza