The Sigmoid Beverton-Holt Model Revisited
نویسندگان
چکیده
We will be examining the Sigmoid Beverton-Holt difference equation. It has been shown that when the Sigmoid Beverton-Holt has a p-periodically-varying growth rate, there exists a p-periodic globally asymptotically stable solution {xn}. In this paper we extend this result to include a more general class of Sigmoid Beverton-Holt functions. Furthermore, we consider the case in which the variables of our general class are varied randomly and show that there exists a unique invariant density to which all other densities converge. Lastly, we extend the Beverton-Holt to include a spatial component and show there exists a unique, stable, non-trivial fixed point in this case.
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