Roberta De Luca Email and Phone Number

The research is concerned with:1) nonautonomous ODEs systems modeling the interactions between hosts and parasites in the presence of mutual interference;2) PDEs systems modeling fluid motion in porous media;3) reaction-diffusion systems modeling the transmission of infection disease (SEIR models);4) Numerical Simulations.List of Publications:[1] De Luca R., "Nonlinear Stability of nonautonomous Lotka-Volterra models". Phd. Thesis.[2] De Luca R., Rionero S., “On the nonautonomous Lotka-Volterra systems”. In New Trends in Fluid and Solid Models. Vietri (Sa), 28-02/01-03/2008 World Scientic, vol. 1, p. 49-55, (2009)[3] De Luca R., “Asymptotic behaviour and nonlinear stability of nonautonomous generalized Lotka- Volterra systems”, Rend. Acc. Sci. Fis. Mat. Napoli, vol LXXVII, pp.117-132, (2010)[4] De Luca R., "On the long-time dynamics of nonautonomous predator-prey models with mutual interference". Ric. Mat. , Volume 61 (2) , pp. 275-290, (2012)[5] Capone F., De Luca R., "Ultimately boundedness and stability of triply diffusive mixtures in rotating porous layers under the action of Brinkman law". Int. J. Nonlinear Mech. Volume 47, Issue 7, pp. 799–805, (2012)[6] De Luca R. "On the asymptotic stability of an Hassell predator-prey model with mutual interference". Acta Applicandae, Volume 122, Issue 1, pp 191-204, (2012)[7] Capone F., De Luca R.: "Onset of convection for ternary fluid mixtures saturating horizontal porous layers with large pores." Rend. Acc. Lincei, Vol. XXIII series IX, n.4, pp.405-428, (2012)[8] Capone F., De Luca R., Rionero S., “On the stability of non-autonomous perturbed Lotka- Volterra models”. Applied Mathemcatics and Computation. 219 (12) , pp. 6868-6881 (2013)[9] Capone F., De Luca R., Torcicollo I. "Longtime behaviour of vertical throughflows for binary mixtures in porous layers."Int. J. of Nonlinear Mech.,Volume 52 pp. 1-7 (2013)

The research was concerned with mathematical modeling of biological problem involving population dynamics. Nonautonomous predator-prey models have been analyzed, and conditions for asymptotic stability of the positive equilibrium points have been obtained by the Liapunov Direct Method.