The project includes research topics about mathematical models of infectious diseases. During the project, seasonal exacerbation of a disease, estimation of the associated parameters and the possible control strategies that may prevent the spread of the disease will be investigated using different mathematical methods. The constituted mathematical model will be specialized to the model of seasonal dynamics of bacterial meningitis disease, which is quite remarkable in terms of lethality and sequelae left by the patient in our country, if not in terms of prevalence. The analysis of delayed differential equations and non-autonomous dynamic systems are two main topics of the research.

Research team

Dr. Fatihcan Atay

Dr. Hatice Bulut

Dr. Can Türkün

Parvaneh Faraji Dizaji

Research outputs

C. Türkün, M. Gölgeli and F. M. Atay.A mathematical interpretation for outbreaks of bacterial meningitis under the effect of time-dependent transmission parameters. Nonlinear Dynamics, 111, 14467--14484, 2023.

H. Bulut, M. Gölgeli and F. M. Atay. Modelling personal cautiousness during the COVID-19 pandemic: a case study for Turkey and Italy . Nonlinear Dynamics, 105, 957--969, 2021.

Master Thesis of Parvaneh Faraji Dizaji, Modeling the latent period in compartmental epidemiological models . Bilkent University, 2023.

Workshop: Mathematical Epidemiology

 

Workshop Photos