Qualitative Analysis of a Model of Renewable Resources and Population with Distributed Delays

Tiziana Ciano, Massimiliano Ferrara and Luca Guerrini
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Tiziana Ciano: Department of Law, Economics and Human Sciences, University “Mediterranea” of Reggio Calabria, Via dell’Università, 25, 89124 Reggio Calabria, Italy
Massimiliano Ferrara: Department of Law, Economics and Human Sciences, University “Mediterranea” of Reggio Calabria, Via dell’Università, 25, 89124 Reggio Calabria, Italy
Luca Guerrini: Decision Lab, University “Mediterranea” of Reggio Calabria, Via dell’Università, 25, 89124 Reggio Calabria, Italy

Mathematics, 2022, vol. 10, issue 8, 1-14

Abstract: This work generalizes Matsumoto et al.’s dynamic model of population and renewable resources by substituting a distributed delay for the time delay. It is proved that the equilibrium point may lose or gain local stability, allowing for the observation of alternating stability/instability areas if some conditions hold.

Keywords: distributed delay; Easter Island; Hopf bifurcation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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