Fasma Diele

Dr. Fasma Diele

Consiglio Nazionale delle Ricerche (CNR)
orcid

Research Focus & Metrics

Academic Career Length

23Years (2004-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 September 2021 in Chaos, Solitons & Fractals
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Journal Article
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DLDeborah Lacitignola
Deborah Lacitignola
FDFasma Diele
Fasma Diele

1 October 2016 in Mathematical Biosciences
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Journal Article
Open access
DLDeborah Lacitignola
Deborah Lacitignola
FDFasma Diele
Fasma Diele
CMCarmela Marangi
Carmela Marangi
APAntonello Provenzale
Antonello Provenzale
We apply the Z-control approach to a generalized predator-prey system and consider the specific case of indirect control of the prey population. We derive the associated Z-controlled model and investigate its properties from the point of view of the dynamical systems theory. The key role of the design parameter λ for the successful application of the method is stressed and related to specific dynamical properties of the Z-controlled model. Critical values of the design parameter are also found, delimiting the λ-range for the effectiveness of the Z-method. Analytical results are then numerically validated by the means of two ecological models: the classical Lotka-Volterra model and a model related to a case study of the wolf-wild boar dynamics in the Alta Murgia National Park. Investigations on these models also highlight how the Z-control method acts in respect to different dynamical regimes of the uncontrolled model.

1 October 2019 in Nonlinear Analysis: Real World Applications
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Journal Article
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CBChristopher M. Baker
Christopher M. Baker
FDFasma Diele
Fasma Diele
DLDeborah Lacitignola
Deborah Lacitignola
CMCarmela Marangi
Carmela Marangi
AMAngela Martiradonna
Angela Martiradonna

20 December 2019 in Mathematics
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FDFasma Diele
Fasma Diele
CMCarmela Marangi
Carmela Marangi
A major neglected weakness of many ecological models is the numerical method used to solve the governing systems of differential equations. Indeed, the discrete dynamics described by numerical integrators can provide spurious solution of the corresponding continuous model. The approach represented by the geometric numerical integration, by preserving qualitative properties of the solution, leads to improved numerical behaviour expecially in the long-time integration. Positivity of the phase space, Poisson structure of the flows, conservation of invariants that characterize the continuous ecological models are some of the qualitative characteristics well reproduced by geometric numerical integrators. In this paper we review the benefits induced by the use of geometric numerical integrators for some ecological differential models.

1 September 2017 in Computers & Mathematics with Applications
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FDFasma Diele
Fasma Diele
MGMarcus R. Garvie
Marcus R. Garvie
CTCatalin Trenchea
Catalin Trenchea

28 February 2025 in Mathematics and Computers in Simulation
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Journal Article
Open access
AMAngela Monti
Angela Monti
FDFasma Diele
Fasma Diele
DLDeborah Lacitignola
Deborah Lacitignola
CMCarmela Marangi
Carmela Marangi