Papers
Publications
C. Kuehn, C. Soresina, Cross-diffusion induced instability on networks, Journal of Complex Networks, 12(2): cnad052, 2024.
M. Bisi, M. Groppi, G. Martalò, C. Soresina, A chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect, Ricerche di Matematica, 73:29-46, 2023. (In the Errata, only a label in Figure 3a has been changed)
C. Soresina, Hopf bifurcations in the full SKT model and where to find them, Discrete and Continuous Dynamical Systems - Series S, 15(9): 2673-2693, 2022. Errata.
C. Kuehn, C. Soresina et al., A general view on double limits in differential equations, Physica D: Nonlinear Phenomena, 431:133105, 2022.
S. Pasquali, C. Soresina, Mortality estimate driven by population abundance field data in a stage-structured demographic model. The case of Lobesia botrana, Ecological Modelling, 464:109842, 2022.
M. Breden, C. Kuehn, C. Soresina, On the influence of cross-diffusion in pattern formation, Journal of Computational Dynamics, 8(2):213-240, 2021.
N. Ehstand, C. Kuehn, C. Soresina, Numerical continuation for fractional PDEs: sharp teeth and bloated snakes, Communications in Nonlinear Science and Numerical Simulation, 98:105762, 2021. Supplementary material. GitHub.
C. Rebelo, C. Soresina, Coexistence in seasonally varying predator-prey systems with Allee effect, Nonlinear Analysis: Real World Applications, 55:103140, 2020. Errata.
C. Kuehn, C. Soresina, Numerical continuation for a fast-reaction system and its cross-diffusion limit, SN Partial Differential Equations and Applications, 1:7, 2020.
G. Gilioli, S. Pasquali, C. Soresina, The effects of fecundity, mortality and distribution of the initial condition in phenological models, Ecological Modelling, 402:45-58, 2019.
L. Desvillettes, C. Soresina, Non triangular cross-diffusion systems with predator-prey reaction terms, Ricerche di Matematica, 68:295-314, 2019.
F. Conforto, L. Desvillettes, C. Soresina, About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models, Nonlinear Differential Equations and Applications NoDEA, 25:24, 2018.
L. Bolzoni, E. Bonacini, C. Soresina, M. Groppi, Time-optimal control strategies in SIR epidemic models, Mathematical Biosciences, 292:86-96, 2017.
E. Bonacini, M. Groppi, R. Monaco, A.J. Soares, C. Soresina, A network model for landscape evolution: stability analysis and numerical tests, Communication in Nonlinear Sciences and Numerical Simulations, 48:569-584, 2017.
G. Buffoni, M. Groppi, C. Soresina, Dynamics of predator-prey models with a strong Allee effect on the prey and predator-dependent trophic functions, Nonlinear Analysis: Real World Applications, 30:143-169, 2016.
E. Bonacini, C. Soresina, M. Groppi, R. Burioni, A. Vezzani, M. di Volo, How single node dynamics enhance synchronization in neural networks with electrical coupling, Chaos, Solitons & Fractals, 85:32-43, 2016.
G. Buffoni, M. Groppi, C. Soresina, Effects of prey over-undercrowding in predator-prey systems with prey-dependent trophic functions, Nonlinear Analysis: Real World Applications, 12:2871-2887, 2011.
Forthcoming
F. Giannino, A. Iuorio, C. Soresina, The effect of toxicity in plant-growth dynamics: a cross-diffusion model.
B. Buonomo, C. Soresina, Behavioural effects in epidemics modelled by cross-diffusion.
M. Breden, M. Payan, C.Soresina, Fractional diffusion or cross-diffusion? The meeting point between computer-assisted proofs and bifurcation diagrams.
C. Cantamessi, M. Groppi, C. Soresina, On the competition of red and grey squirrels: exotic species and Allee effect.
G. Buffoni, G. Gilioli, S. Pasquali, C. Soresina, On the effective use of demographic models for the numerical simulations of pest infestations of farmings.
L. Desvillettes, C. Soresina, A new cross-diffusion competitive model arising by time-scale arguments.
C. Soresina, B.Q. Tang, B.-N. Tran, TBA.
C. Reisch, C. Soresina, B.Q. Tang, TBA.
...and many more! :)
Proceedings
C. Soresina, B.Q. Tang, B.-N. Tran, Fast-reaction limits for predator-prey reaction-diffusion systems: improved convergence, accepted, to appear in Proceedings of the BIRS Workshop "Topics in Multiple Time Scale Dynamics", AMS Contemporary Mathematics, arXiv:2305.09775, 2023.
Book Chapters
F. Achleitner, G. Akagi, C. Kuehn, J.M. Melenk, J.D.M. Rademacher, C. Soresina, J. Yang, Fractional Dissipative PDEs, arXiv:2312.05606. In: “Fractional Dispersive Models and Applications, Recent Developments and Future Perspectives”, Edt. P. Kevrekidis and J. Cuevas, Nonlinear Systems and Complexity book series, Springer-Verlag, forthcoming (2024).
Others
C. Soresina, Multistability and time-periodic spatial pattern in the cross-diffusion SKT model, Oberwolfach Workshop Reports, Nr. 2021,37, 2021.
M. Groppi, S. Panizzi, C. Soresina, An example of deterministic chaos: the tent map, article for the educational book “Uno Sguardo Matematico sulla Realtà - Laboratori PLS 2010-2013”, CLEUP Padova (2014), edited by M. Belloni, A. Zaccagnini, Department of Mathematics and Computer Science, University of Parma.
Papers mentioning me in the acknowledgments
- C. Kuehn, S. Throm, The Amplitude Equation for the Space-Fractional Swift-Hohenberg Equation, arXiv preprint arXiv:2403.03158, 2024.
M. Bonacini, F. Iurlano, Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies, arXiv preprint arXiv:2309.17064, 2023.
J. Eliaš, H. Izuhara, M. Mimura, B.Q. Tang, An aggregation model of cockroaches with fast-or-slow motion dichotomy, Journal of Mathematical Biology, 85(3), p.28, 2022.
