Page 182 - Special Topic Session (STS) - Volume 4

STS579 Daria Balashova
References
1. Antonelly F., Bosco F. (2012) Viral evolution and adaptation as a
multivariate branching process. Biomat., pp. 217-243.
2. Antonenko E.A., Yarovaya E.B. (2016) On the Number of Positive
Eigenvalues of the Evolutionary Operator of Branching Random Walk.
Branching Processes and their Applications, Book. Lecture Notes in
Statistics, Spriger, vol. 219, pp. 41-55.
3. Ball F., Gonzalez M., Martinez R. and Slavtchova-Bojkova M. (2014)
Stochastic monotonicity and continuity properties of functions defined
on Crump-Mode-Jagers branching processes, with application to
vaccination in epidemic modelling. Bernoulli 20(4), 2076-2101.
4. Claus O. Wilke (2003) Probability of Fixation of an Advantageous Mutant
in a Viral Quasispecies. GENETICS vol. 163 no. 2, pp. 467-474.
5. Ermishkina E.M., Yarovaya E.B. (2018) Simulation of Branching Random
Walks on Multidimensional Lattices. Abstracts of the Ninth Workshop on
Simulation.
6. Gikhman I.I., Skorokhod A.V. (1973) The Theory of Stochastic Processes.
Book 2, Science.
7. Gonzalez M., Martinez R. and Slavtchova-Bojkova M. (2010) Stochastic
monotonicity and continuity properties of the extinction time of Bellman-
Harris branching processes: an application to epidemic modelling. J. App.
Prob., 47, pp. 58-71.
8. Kolmogorov A., Petrovskii I. and Piskunov N. (1937) Etude de l’equation
de la diffusion avec crois-sance de la quantite de matiere et son
application a un probleme biologique. Bull. Univ. Moscou Serie
internationale, Section A, Mathematiques et mecanique 1, pp. 1-25.
9. Rytova A.I., Yarovaya E.B. (2016) Multidimensional Watson lemma and its
applications. Math Notes 99(3), pp. 395-403.
10. Yarovaya E.B. (2012) Spectral properties of evolutionary operators in
branching random walk models. Math Notes 92(1), pp. 115–131.
11. Yarovaya E.B. (2017) Spectral asymptotics of supercritical branching
random process. Teor. Veroyatnost. i Primenen., 62(3), pp. 518-541.

171 | I S I W S C 2 0 1 9