Closed form solutions to generalized logistic-type nonautonomous systems

Mingari Scarpello, Giovanni ; Palestini, Arsen ; Ritelli, Daniele (2009) Closed form solutions to generalized logistic-type nonautonomous systems. Bologna: Dipartimento di Scienze economiche DSE, p. 9. DOI 10.6092/unibo/amsacta/4592. In: Quaderni - Working Paper DSE (654). ISSN 2282-6483.
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Abstract

In this paper the subject is met of providing a two-fold generalization of the logistic popu- lation dynamics to a nonautonomous context. First it is assumed the carrying capacity alone pulses the population behavior changing logistically on its own. In such a way we get again the model of Meyer and Ausubel (1999), by them computed numerically, and we solve it completely through the Gauss hypergeometric function. Furthermore, both the carrying ca- pacity and net growth rate are assumed to change simultaneously following two independent logisticals. The population dynamics is then found in closed form through a more difficult integration, involving a (τ1; τ2) extension of the Appell generalized hypergeometric function, Al-Shammery and Kalla (2000); about such a extension a new analytic continuation theorem has been proved.

Abstract
Document type
Monograph (Working Paper)
Creators
CreatorsAffiliationORCID
Mingari Scarpello, Giovanni
Palestini, Arsen
Ritelli, Daniele
Keywords
Logistic growth generalization, carrying capacity, Appell hypergeometric function
Subjects
ISSN
2282-6483
DOI
Deposit date
15 Feb 2016 14:03
Last modified
15 Feb 2016 14:10
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