Ren K, Li X, Zhang Q. Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks. Math Biosci Eng. 2021 Jul 28;18(5):6452-6483 submited by kickingbird at Sep, 15, 2021 9:29 AM from Math Biosci Eng. 2021 Jul 28;18(5):6452-6483 Near-optimization is as sensible and important as optimization for both theory and applications. This paper concerns the near-optimal control of an avian influenza model with saturation on heterogeneous complex networks. Firstly, the basic reproduction number $\mathcal{R}_{0}$ is defined for the model, which can be used to govern the threshold dynamics of influenza disease. Secondly, the near-optimal control problem was formulated by slaughtering poultry and treating infected humans while keeping the loss and cost to a minimum. Thanks to the maximum condition of the Hamiltonian function and the Ekeland´s variational principle, we establish both necessary and sufficient conditions for the near-optimality by several delicate estimates for the state and adjoint processes. Finally, a number of examples presented to illustrate our theoretical results. See Also: http://www.aimspress.com/article/doi/10.3934/mbe.2021321 Latest articles in those days: [Go Top]    [Close Window] Related Pages: Learn about the flu news, articles, events and more Subscribe to the weekly F.I.C newsletter!