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Estimating Parameters and Extinction Probabilities in Population Stochastic Differential Equation Models

In: Biomathematics and Related Computational Problems

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  • Carlos A. Braumann

    (University of Évora, Department of Mathematics)

Abstract

Let N = N(t) be the population size at time t and consider the Stratonovich stochastic differential equation d lnN/dt = (r + σε(t)) f(N), N(0) = NO>0 given, t≥0, where the per capita growth rate d ln N/dt is expressed in terms of a growth parameter r>0 subjected to fluctuations σ ε(t) (where σ > 0 measures their intensity and ε(t) is standard white noise) and of a non-increasing well-behaved (but quite general) function f(N) measuring food and territorial limitations to growth. Denote by Nc, with 0

Suggested Citation

  • Carlos A. Braumann, 1988. "Estimating Parameters and Extinction Probabilities in Population Stochastic Differential Equation Models," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 133-143, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_13
    DOI: 10.1007/978-94-009-2975-3_13
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