Publications

Preprints

Journal articles 

M.F. Carfora, I. Torcicollo, Stability Analysis of a Master–Slave Cournot Triopoly Model: The Effects of Cross-Diffusion,  Axioms, 14, 540, (2025), https://doi.org/10.3390/axioms14070540   (open access) 

G. Alì, C. Scuro, I. Torcicollo, Pattern formation driven by cross-diffusion in the Klausmeier-Gray-Scott model,  Mathematics and Computers in Simulation, 239, 555–571, (2026), (open access)  https://doi.org/10.1016/j.matcom.2025.06.005 

M.F. Carfora, F. Iovanna, I. Torcicollo, Turing patterns in an intraguild predator-prey model,  Mathematics and Computers in Simulation, 232, 192-210, (2025),  (open access)  10.1016/j.matcom.2024.12.022.

G. Alì, I. Torcicollo, Turing pattern formation in a specialist predator–prey model with a herd-Holling-type II functional response, Mathematical Methods in the Applied Sciences, 48(1), 731-747 (2025), (First published: 17 July 2024).  https://doi.org/10.1002/mma.10355

I. Torcicollo, M. Vitiello, Turing instability and spatial pattern formation in a model of urban crime,   Mathematics, 12(7), 1097, (2024). https://doi.org/10.3390/math12071097   (open access)

M. Gentile, I. Torcicollo, Nonlinear stability analysis of a chemical reaction-diffusion system,  Ricerche di Matematica, 73(Suppl 1), pp. 189-200, (2024).  https://doi.org/10.1007/s11587-023-00793-x (open access) 

G. Alì, I. Torcicollo, C. Scuro,  Analisys of a nonlinear model arising in chemical aggression of marble, Int. J. of Masonry Research and Innovation, 8( 2&3), 263, (2023) doi: 10.1504/IJMRI.2021.10043511. (open access) 

M.F. Carfora, I. Torcicollo, Traveling band solutions in a system modeling hunting cooperation,  Mathematics, 10(13), p.2303, (2022)  https://doi.org/10.3390/math10132303  (open access )

F. Capone, M.F. Carfora, R. De Luca, I. Torcicollo, Nonlinear stability and numerical simulations for a reaction-diffusion system modelling Allee effect on predators, International Journal of Nonlinear Sciences and Numerical Simulation, DOI: 10.1515/ijnsns-2020-0015 , 23(5), pp. 751-760 (2022) (open access)

M.F. Carfora, I. Torcicollo, A Fractional-in-Time Prey–Predator Model with Hunting Cooperation: Qualitative Analysis, Stability and Numerical Approximations, Axioms, 10 (2), 78,  (2021) (open access) 

G. Alì, F. Lamonaca, C. Scuro, I. Torcicollo, On a One-Dimensional Hydrodynamic Model for Semiconductors with Field-Dependent Mobility, Mathematics, 9(17), 2152, (2021) (open access) 

F. Capone, M.F. Carfora, R. De Luca, I. Torcicollo, Analysis of a model for waterborne diseases with Allee effect on bacteria, Nonlinear Analysis: Modelling and Control, 25(6), 1035-1058, (2020) (open access)

M.F. Carfora, I. Torcicollo, Cross-diffusion-driven instability in a predator-prey system with fear and group defense,  Mathematics, 8(8), p.1244, (2020) (open access )

M.F. Carfora, I. Torcicollo, Identification of epidemiological models: the case study of Yemen cholera outbreak, Applicable Analysis, 1-11,  (2020) DOI:10.1080/00036811.2020.1738402 (download preprint version)

F. Capone, R. De Luca, I. Torcicollo, Instability of vertical constant throughflows in binary mixtures in porous media with large pores, Mathematical Problems in Engineering, Volume 2019, Article ID 7379597, DOI:10.1155/2019/7379597, (2019) (open access) 

F. Capone, M.F. Carfora, R. De Luca, I. Torcicollo, Turing patterns in a reaction-diffusion system modeling hunting cooperation, Mathematics and Computers in Simulation (2019) (download preprint version)

F. Capone, R. De Luca, I. Torcicollo, Influence of diffusion on the stability of a full Brusselator model,  Rendiconti Lincei Matematica e Applicazioni, 29, pp. 661-678, (2018)

F. Capone, M.F. Carfora, R. De Luca, I. Torcicollo, On the dynamics of an intraguild predator-prey model  Mathematics and Computers in Simulation, 149, pp. 17-31, (2018) (download preprint version)

S. Rionero, I. Torcicollo, On the dynamics of a non-linear reaction-diffusion duopoly model,  Int. J. of Non-Linear Mech. 99, 105-111, (2018)  (download preprint version)

I. Torcicollo, On the non-linear stability of a continuous duopoly model with constant conjectural variation   Int. J. of Non-Linear Mech. 81, 268-273, (2016) (download preprint version)

G. Alì, R. Natalini, I. Torcicollo, Global existence for a 1D parabolic-elliptic model for chemical aggression in permeable materials, Nonlinear Analysis Series B: Real World Applications, 21, 1-12, (2015) (download preprint version)

S. Rionero, I.Torcicollo, Stability of a continuous reaction-diffusion Cournot-Kopel Duopoly Game Model, Acta Applicandae Mathematicae, 132, 505-513, DOI 10.1007/s10440-014-9932-x, (2014) (download preprint version)

F. Capone, V. De Cataldis, R. De Luca, I. Torcicollo, On the stability of vertical constant throughflows for binary mixtures in porous layers, Int. Journal of Non-Linear Mechanics, 59, 1-8 (2014)

I.Torcicollo, On the dynamics of a non-linear Duopoly game model, Int. J. of Non-Linear Mech. 57, 799-805, (2013) (download preprint version)

F. Capone, R. De Luca, I. Torcicollo, Longtime behavior of vertical throughflows for binary mixtures in porous layers, Int. Journal of Non-Linear Mechanics, 52, 1-7, (2013) (download preprint version)

G. Alì, M. Bisi, G. Spiga, I. Torcicollo, Kinetic approach to sulfite chemical aggression in porous media, International Journal of Non-Linear Mechanics, 47, 769--776,  (2012) 

G. Alì, V. Furuholt, R. Natalini, I. Torcicollo, A mathematical model of sulfite chemical aggression of limestones with high permeability. Part I: Modeling and qualitative analysis, Transport in Porous Media 69, 109--122, doi:10.1007/s11242-006-9067-2, (2007)

G. Alì, V. Furuholt, R. Natalini, I. Torcicollo, A mathematical model of sulfite chemical aggression of limestones with high permeability. Part II: Numerical approximation, Transport in Porous Media 69, 175--188, (2007)

D. Tafuri, E. Federici, M. G. Tafuri, I. Torcicollo, Biomechanical analysis of the on-water rowing stroke, Medicina dello Sport 60 (4), 547-556,  (2007) 

G. Alì, I. Torcicollo, S. Vessella, Inverse Doping Problems for a P-N Junction, J. Inverse Ill-Posed Problems, 14 (6), 537-546, (2006) 

I. Torcicollo, D. Tafuri, E. Federici, L'allenamento nel Canottaggio: Considerazioni di Fluidodinamica, Medicina dell’Esercizio Fisico e dello Sport, (ISSN): 1592-8047, N. 1, Anno 6, pp. 36-39, Editore I.N.C .(2006)

G. Alì, I. Torcicollo, S. Vessella, Inverse Doping Problems for semiconductor devices,  Proceedings of Atti XIII WASCOM 2005, Acireale, 19-25 giugno 2005. Singapore: World Scientific. (Editors:  Monaco R. et al.) pp.7-12, 2006.

G. Alì, I. Torcicollo, Nonlinear stability of smooth solutions of the energy-transport model for semiconductors, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 85 (4), 267--276,  (2005)

G. Alì, I. Torcicollo, Time-periodic solutions to hydrodynamical models for semiconductors, Proceedings of Atti XII WASCOM 2003, Villasimius, 1-7 Giugno 2003. River Edge, NJ: World Scientific. (Editors: Monaco R., et al.), 7-12, doi: 10.1142/9789812702937_0002, (2004)

I. Torcicollo, M. Vitiello, A note on the nonlinear pointwise stability for the equation u_t=\Delta F(u)  in the exterior of a sphere, Rend. Acc. Sc. Fis. Mat. Napoli, v. LXX, 111-117,  (2003)

I. Torcicollo, M. Vitiello,  On the nonlinear diffusion in the exterior of a sphere, WASCOM 2001: 11TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA, PROEEDINGS , https://doi.org/10.1142/9789812777331_0069 ,  563-568  (2002)

I. Torcicollo, M. Vitiello, On the nonlinear diffusion in the exterior of a sphere, Rend. Acc. Sci.Fis. Mat., Napoli, vol. LXVIII, 139,  (2001)

S. Rionero, I. Torcicollo, On an ill-posed problem in nonlinear heat conduction, Transport Theory and Statistical Physics 29, 1&2, 173--186, doi: 10.1080/00411450008205867, (2000)

I. Torcicollo, Su alcuni problemi di diffusione non lineare, Bollettino della Unione Matematica Italiana A, 3 (3), 407-410,  (2000) 

S. Rionero, I. Torcicollo, On the pointwise continuous dependence of an approximate solution of a nonlinear heat conduction ill-posed problem, Rend. Acc. Sci. Fis. Mat., Napoli, vol. LXVII - Serie IV - 169-179, (2000)

Others (not ISI Journals, Conference proceedings, CNR-Report, Poster)  (under construction)

R. D. Olivito, I. Torcicollo, G. Alì, C. Scuro,  A nonlinear parabolic model arising in marble sulphation: Wualitative analysis, XI Conference "Diagnosis, Conservation and Valorization of Cultural Heritage" , 9-10 December 2021.

I. Torcicollo, P. Centorrino, G. Ramella,  Poster:  Simulazioni delle traiettorie di visitatori nelle aree museali , Due passi nel futuro - Distretto DATABENC, Villa Doria d'Angri, Napoli, 28 giugno e 7 luglio 2021, (2021).

F. Capone, M. F. Carfora, R. De Luca, I. Torcicollo, Poster: On the dynamics of a system modeling waterborne diseases, Tenth Conference Dynamical Systems Applied to Biology and Natural Sciences (DSABNS 2019), Napoli, Italy, February 3-6 2019, (2019).

I. Torcicollo, "On the Dynamics of a Duopoly Model". Rapporto Tecnico n. 344/09, (CNR), Napoli, (finito di stampare il 31.07.2009), (2009).

G. Alì, R. Natalini, I. Torcicollo, "A parabolic-elliptic model for sulphite chemical aggression of calcite specimen". Rapporto Recnico n. 345/09, IAC (CNR), (2009).

G. Alì, I. Torcicollo, Inverse Doping Problems For Semiconductor Devices, Atti XIII WASCOM 2005, Acireale, 19 - 25 Giugno 2005. Singapore: World Scientific. (Editors: Monaco R., et al., 7-12, (2006) 

G. Alì, I. Torcicollo, Global solutions to a hydrodynamical model for semiconductors in Lagrangian mass coordinates, CNR Report n. 312/06, IAC (CNR), Napoli, (finito di stampare il 09.05.2006), (2006)

A. Mantile, I. Torcicollo, A preliminary result concerning the controllability of a quantum particle in a 1-D confining delta potential, CNR Report n. 311/06, IAC (CNR), Napoli, (finito di stampare il 08.05.2006), (2006)

I. Torcicollo, D. Tafuri, E. Federici, "Modello matematico della voga nel Canottaggio". Rapporto Tecnico n. 310/06, IAC (CNR), Napoli, (finito di stampare il 07.04.2006), (2006)

I. Torcicollo, D. Tafuri, E. Federici, Fluidodinamica del Canottaggio,  Atti XXII Congresso Nazionale della A.Na.S.Me.S. - d'A., (Vittorio Veneto, 18-21 Giugno 2006), pp. 692-697, (2006)

I. Torcicollo, D. Tafuri, E. Federici, Canottaggio: Contributo della Fluidodinamica alla Fisiologia dell'Allenamento. Atti XXI Congresso Nazionale della A.Na.S.Me.S. - d'A., (Chieti, 19-22 Giugno 2005), pp. 498-501, (2005)

S. Rionero, I. Torcicollo, On a nonlinear heat conduction problem". Proceedings of STAMM 2000, (Editors: O'Donoghue, Flavin), 178-184,  (2000)

G. Alì, I. Torcicollo, Periodic solutions to hydrodynamical models for semiconductors. Atti New Trends in Mathematical Physics in memory of Pietro Benvenuti, (Gallipoli, 23 - 25 Settembre 2004)

S. Rionero, I. Torcicollo, On the continuous dependence of a free boundary value problem, CNR Report n. 221/01, IAM (CNR), Napoli, finito di stampare il 08.02.2001, (2001)

S. Rionero, I. Torcicollo, On a nonlinear heat conduction problem. Proceedings of STAMM 2000, (Editors: O'Donoghue, Flavin), pp.178-184, (2000).

S. Rionero, I. Torcicollo, Estimates for the thickness and temperature of a vertical sheet of cold ice, given data on only two points of the upper boundary". Rend. del Circolo Matem. di Palermo. Proceedings of the IX International Conference on Waves and Stability in Continuous Media, (Monopoli (BA), 6-11 Ottobre 1997), Serie II - Suppl. 57, pp. 427-432,1998.

S. Rionero, I. Torcicollo, On a nonlinear heat conduction problem in Glaciology.  Atti del III Convegno Internazionale "Mathematics and Environment", (Napoli, 19-22 Ottobre 1998).

F. Capone, S. Rionero, I. Torcicollo, On the stability of solutions of the remarkable equation u_t = F(x; u) - g(x; u). Rend. del Circolo Matem. di Palermo, Greco, Antonio M. (ed.) et al. Proceedings of the VIII International Conference on Waves and Stability in Continuous Media, (Palermo, 9-14 Ottobre 1995), Serie II - Suppl. 45, pp. 83-90, 1996.