skip to main content

Title: On spatial mutation-selection models

We discuss the selection procedure in the framework of mutation models. We study the regulation for stochastically developing systems based on a transformation of the initial Markov process which includes a cost functional. The transformation of initial Markov process by cost functional has an analytic realization in terms of a Kimura-Maruyama type equation for the time evolution of states or in terms of the corresponding Feynman-Kac formula on the path space. The state evolution of the system including the limiting behavior is studied for two types of mutation-selection models.
Authors:
 [1] ;  [1] ;  [2] ; ;  [3]
  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld (Germany)
  2. (United States)
  3. IITP, RAS, Bolshoi Karetnyi 19, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22251419
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS; MARKOV PROCESS; TRANSFORMATIONS