Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks

DOI10.3934/mbe.2021321zbMath1501.92187OpenAlexW3184845895MaRDI QIDQ2092095

Xining Li, Keguo Ren, Qi-min Zhang

Publication date: 2 November 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021321

zbMATH Keywords

basic reproduction numbercomplex networksspatial diffusionnear-optimal controlavian influenza model

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• An SEI-SI avian-human influenza model with diffusion and nonlocal delay
• Erratum to: On the optimal control of the Schlögl-model
• The spreading frontiers of avian-human influenza described by the free boundary
• Nonlinear dynamics of avian influenza epidemic models
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Near-optimal control problems for linear forward-backward stochastic systems
• Avian-human influenza epidemic model
• Avian-human influenza epidemic model with diffusion
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Global dynamics of a stochastic avian-human influenza epidemic model with logistic growth for avian population
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Global martingale solutions for a stochastic population cross-diffusion system
• Coupling dynamics of epidemic spreading and information diffusion on complex networks
• Global analysis of an epidemic model with nonmonotone incidence rate
• Optimal control of convective FitzHugh-Nagumo equation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• The Interaction of Migratory Birds and Domestic Poultry and Its Role in Sustaining Avian Influenza
• Emergence of Scaling in Random Networks
• MODELING SEASONALITY IN AVIAN INFLUENZA H5N1
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Nonconvex minimization problems
• Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• Spatial Invasion Threshold of Lyme Disease

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