Details on the master thesis of Xue Chanchan
“Disease Propagative Mechanism and Dynamic Evolutionary Games”

The master thesis of Xue Chanchan is devoted to study of different disease propagate scenarios and the corresponding mathematical tools. The main attention is given to the game theoretic modeling based on evolutionary game theory.  The thesis contains relatively long introduction which is unusual for mathematical dissertations. In the introduction the definition of evolutionary stable strategy is given, but this definition cannot be considered as constructive, there is more advanced definition which remains unknown for Xue Chanchan. 
A special chapter is devoted to the investigations concerning cancer therapy. In this chapter the methodology of evolutionary game theory is effectively used. This was done for simulation of three basic regimes of cancer therapies. The evolutionary double bind therapy is presented in one of the sections of this chapter and the environment resistance therapy as well.
An important problem of the impact of mass vaccination behaviors is investigated in detail in chapter 3.
In this chapter the detailed description of different mathematical models is given. And as research tool the Nash Equilibrium in corresponding game theoretical models as solution concept proposed. The last section of this chapter deals with investigation of vaccination behavior in social networks.
The thesis did not contain original mathematical models, original solutions of existing models or original software to realize known algorithms on computer. Also there is not seen any statistical work done on existing data basis from cancer therapy or vaccination behavior.
In the same time it is necessary to mention that the author knows and understands the subject,  accept minor cases thesis did not contain serious mathematical mistakes and the language can be considered as acceptable. Taking in account that the master thesis not always have to contain new results publishable   in scientific journals I consider it possible to evaluate the thesis as “good”.

Supervisor,
Professor L.A.Petrosjan