Estimating Parameters and Extinction Probabilities in Population Stochastic Differential Equation Models

Carlos A. Braumann
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Carlos A. Braumann: University of Évora, Department of Mathematics

A chapter in Biomathematics and Related Computational Problems, 1988, pp 133-143 from Springer

Abstract: 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

Keywords: Stochastic Differential Equation; Random Environment; Environmental Impact Assessment; Extinction Probability; Wrong Assumption (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-94-009-2975-3_13

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