Special Issue "Mathematical Models in Epidemiology"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: 30 September 2019
In recent years, mathematical models of infectious disease transmission have attracted a great deal of attention and been studied by many researchers from a broad range of mathematical viewpoints. These models are usually formulated as nonlinear systems of ordinary, delay or partial differential equations, and various mathematical theories have been developed for them. One of the most important concepts in this field is the basic reproduction number Ro, which is the expected number of secondary cases produced by a typical infected individual in a fully susceptible population. Ro is important from both of the mathematical and epidemiological viewpoints as it can be a threshold not only for the occurrence of the initial outbreak of disease but also for the long-term persistence of disease in the sense of the global stability of positive endemic equilibrium.
The purpose of this Special Issue is to establish a collection of papers that provide novel insights on mathematical theories of epidemic models. Papers of all mathematical backgrounds are welcome including ordinary, delay and partial differential equations, dynamical systems, stability and bifurcation theory, control theory and network theory, but not limited to them.
Dr. Toshikazu Kuniya
Manuscript Submission Information
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- Epidemic models
- Basic reproduction number
- Ordinary differential equations
- Delay differential equations
- Partial differential equations
- Dynamical systems
- Stability analysis
- Optimal control