The study of evolution in the Crow – Kimura molecular genetics model using methods of calculus of variations

The Cauchy problem for a nonlinear noncoercive Hamilton – Jacobi equation with state constraints is under consideration. Such a problem originates in molecular biology. It describes the process of evolution in molecular genetics according to the Crow – Kimura model. A generalized solution of prescri...

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Bibliographic Details
Main Authors: Subbotina, Nina N., Shagalova, Lyubov G.
Format: Conference Proceeding
Language:English
Subjects:
Biological evolution
Calculus of variations
Cauchy problems
Computer simulation
Genetics
Mathematical analysis
Molecular biology
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Summary:The Cauchy problem for a nonlinear noncoercive Hamilton – Jacobi equation with state constraints is under consideration. Such a problem originates in molecular biology. It describes the process of evolution in molecular genetics according to the Crow – Kimura model. A generalized solution of prescribed structure is constructed and justifed via calculus of variations. The results of computer simulation are presented.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5012612