Special Issue "Optimal Control and Management of Infectious Diseases"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (30 November 2015).
Interests: Qualitative Theory of Nonlinear Dynamical Systems, Optimal Control, Mathematics for Biology and Medicine, Mathematical Epidemiology, Population Dynamics
Interests: Game theory, Optimal Control, Mathematics for Economics and Finance, Epidemic Models
Interests: Operations Research, Theory of Games, Differential Games, Control Theory
The literature on mathematical models for the spread of epidemics is now huge and has been developed over many decades. Deterministic as well as stochastic approaches have been proposed by scholars and a variety of mathematical models (given by nonlinear equations) have been introduced, analyzed, and applied to real cases. These models include, among others: ordinary and partial differential equations, integro-differential equations, and stochastic differential equations. More recently, much attention has also been paid to controlling the spread of infectious diseases by formulating suitable optimal control problems. One aspect not yet fully addressed in the control and management of epidemics is that of strategic interactions between public and private decision-makers. One framework in which these problems can be treated is the theory of dynamic games and, in particular, evolutionary games and differential games.
Both reviews and expository and original research articles dealing with the recent advances concerning the optimal control and management of epidemics, with or without strategic interactions, are invited for this Special Issue.
Prof. Leon A. Petrosjan
Prof. Andrea Di Liddo
Prof. Bruno Buonomo
Manuscript Submission Information
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- epidemic models
- ordinary differential equations
- delay differential equations
- partial differential equations
- optimal control
- dynamic games
- evolutionary games
- differential games