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Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
- Source :
- Mathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 6452-6483 (2021)
- Publication Year :
- 2021
- Publisher :
- AIMS Press, 2021.
-
Abstract
- 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.
- Subjects :
- medicine.disease_cause
01 natural sciences
Poultry
010305 fluids & plasmas
Diffusion
symbols.namesake
Variational principle
basic reproduction number
0103 physical sciences
Influenza, Human
medicine
Saturation (graph theory)
QA1-939
Applied mathematics
Animals
Humans
0101 mathematics
Mathematics
Hamiltonian mechanics
Applied Mathematics
near-optimal control
General Medicine
State (functional analysis)
complex networks
Complex network
Optimal control
Influenza A virus subtype H5N1
spatial diffusion
010101 applied mathematics
Computational Mathematics
avian influenza model
Modeling and Simulation
Influenza in Birds
symbols
General Agricultural and Biological Sciences
Basic reproduction number
TP248.13-248.65
Biotechnology
Subjects
Details
- Language :
- English
- ISSN :
- 15510018
- Volume :
- 18
- Issue :
- 5
- Database :
- OpenAIRE
- Journal :
- Mathematical Biosciences and Engineering
- Accession number :
- edsair.doi.dedup.....e2823f8d2ea2677c9ed0bb6445756e88