Groupe d’études et de recherche en analyse des décisions

On epidemic modeling and its application

Elena Gubar Saint Petersburg State University, Russie

Elena Gubar

Lien pour le séminaire
Nº de réunion : 962 7774 9870
Code secret : 285404

Nowadays, epidemic models provide an appropriate tool to describe the propagation of biological viruses in human or animal populations, rumors and misinformation in social networks, and malware in both computer and ad hoc networks. A brief overview will represent several compartmental epidemic models. To demonstrate the research area a brief overview of the compartmental epidemic models will describe.

At the seminar, several modifications of the classical SIR model will discuss in detail, including the models of simultaneous spreading of several types of viruses with mutations, coexistence, and joint information and virus spreading. Usually, there are multiple types of viruses infecting the population. Information spreading and virus propagation are interdependent processes. To capture their independencies, we integrate two epidemic models into one holistic framework, defined as the modified Susceptible-Warned-Infected-Recovered-Susceptible (SWIRS) model. An optimal control problem with two types of control strategies: information spreading among healthy nodes and the treatment of infected nodes is formulated.