GOMPERTZ Model with Heredity in Random Environment
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AbstractIn 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.
- Birkbeck, University of London United Kingdom
heredity kernel, Population dynamics (general), Ordinary differential equations and systems with randomness, dichotomic Markov process, random environment, moment behaviour, Gompertz model, white noise, linear stochastic integrodifferential equation, Stochastic ordinary differential equations (aspects of stochastic analysis)
heredity kernel, Population dynamics (general), Ordinary differential equations and systems with randomness, dichotomic Markov process, random environment, moment behaviour, Gompertz model, white noise, linear stochastic integrodifferential equation, Stochastic ordinary differential equations (aspects of stochastic analysis)
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