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GOMPERTZ Model with Heredity in Random Environment
Author(s) -
_ Prajneshu
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230604
Subject(s) - gompertz function , mathematics , logarithm , stability (learning theory) , heredity , white noise , markov chain , statistics , population , markov process , statistical physics , computer science , mathematical analysis , demography , biology , machine learning , physics , sociology , genetics
In this paper we investigate the GOMPERTZ model in a randomly varying environment after incorporating the aspect of heredity. Exact expressions for the first two moments of the logarithm of population size are obtained. Special case of the dichotomic MARKOV process being a white noise process is considered. The stability of the system is also discussed.