Probabilistic metric structures on birth‎-death population models

Document Type : Original Article

Authors

T. K. Murail ¹

P. K. Pramod ²

P. B. Vinod Kumar ³

¹ Department of Mathematics‎, ‎KKTM Govt‎. ‎College‎, ‎Pullut, Kerala‎, ‎India

² Department of Mathematics, Panambilly Memorial Govt‎. ‎College‎, ‎Chalakkudy, Kerala‎, ‎India

³ Department of Basic Science and Humanities‎, ‎Muthoot Institute of Technology and Science(MITS), Kochi‎, ‎Kerala‎, ‎India‎

10.22067/smps.2025.94103.1048

Abstract

In this paper, we introduce a probabilistic metric space structure for a population genetics model that incorporates mutation effects. Several properties of this structure are investigated in relation to the mutation process.

Keywords

Chapman-Kolmogorov equation

‎Markov Chains

‎Population genetics

Probabilistic metric spaces

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