Optimal control of an avian influenza model with multiple time delays in state and control variables

DOI10.3934/dcdsb.2020278zbMath1467.92121OpenAlexW3087480909MaRDI QIDQ2033785

Ting Kang, Haiyan Wang, Qi-min Zhang

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020278

zbMATH Keywords

optimal controlnumerical resultsstability analysismultiple time delaysavian influenza model

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Medical epidemiology (92C60)

Related Items (3)

Modelling optimal control of air pollution to reduce respiratory diseases ⋮ Nonlinear adaptive control of avian influenza model with slaughter, educational campaigns and treatment ⋮ Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity

Cites Work

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• Global dynamics of avian influenza epidemic models with psychological effect
• Permanence and extinction for a nonautonomous avian-human influenza epidemic model with distributed time delay
• Nonlinear dynamics of avian influenza epidemic models
• Optimal control applied to vaccination and treatment strategies for various epidemiological models
• Backward bifurcation of an epidemic model with saturated treatment function
• Avian-human influenza epidemic model
• Avian flu pandemic: can we prevent it?
• A geographical spread of vaccine-resistance in avian influenza epidemics
• Optimal control strategy for prevention of avian influenza pandemic
• Global dynamics of a stochastic avian-human influenza epidemic model with logistic growth for avian population
• Optimal control of an epidemiological model with multiple time delays
• Prevention of avian influenza epidemic: what policy should we choose?
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Modeling the within-host co-infection of influenza a virus and pneumococcus
• A delayed diffusive influenza model with two-strain and two vaccinations
• Dynamics of an avian influenza model with half-saturated incidence
• Dynamics and optimal control of a non-linear epidemic model with relapse and cure
• A delayed avian influenza model with avian slaughter: stability analysis and optimal control
• A Filippov system describing media effects on the spread of infectious diseases
• Spread and control of influenza in two groups: a model
• Transmission potential of the novel avian influenza A(H7N9) infection in mainland China
• The Interaction of Migratory Birds and Domestic Poultry and Its Role in Sustaining Avian Influenza

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