
Vicente Ortega-CejasAutonomous University of Barcelona | UAB
Vicente Ortega-Cejas
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Publications
Publications (8)
We analyze traveling front solutions for a class of reaction-transport Lattice Models (LMs) in order to claim their interest on the description of biological invasions. As lattice models are spatially discrete models, we address here the problem of invasions trough patchy habitats, where every node in the lattice represents a different patch. Distr...
The front dynamics in reaction–diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity position in the reaction function. In particular, we study...
The speed of pulled fronts for parabolic fractional-reaction-dispersal
equations is derived and analyzed. From the continuous-time random walk
theory we derive these equations by considering long-tailed distributions
for waiting times and dispersal distances. For both cases we obtain the
corresponding Hamilton-Jacobi equation and show that the sele...
On the basis of the Cook model, we propose a delayed-growth reaction–diffusion model with an age-dependent disperser–nondisperser transition. We compare the speed of migration fronts between our model and the hyperbolic generalization of the Cook model. In particular, we study for both models the dependence of the migratory fronts speed on the shap...
The effect of the delay time on the speed of wave fronts for interacting-diffusing models is studied analytically and numerically, both for predator-prey and competition models. It is shown that the interaction parameters may be evaluated from the time during which both species coexist until one of them is driven to extinction. We also compare our...
From the continuous-time random walk scheme and assuming a Lévy waiting time distribution typical of subdiffusive transport processes, we study a hyperbolic reaction-diffusion equation involving time fractional derivatives. The linear speed selection of wave fronts in this equation is analyzed. When the reaction-diffusion dimensionless number and t...
Recently, it has been shown that the speed of virus infections can be explained by time-delayed reaction-diffusion [J. Fort and V. Méndez, Phys. Rev. Lett. 89, 178101 (2002)], but no analytical solutions were found. Here we derive formulas for the front speed, valid in appropriate limits. We also integrate numerically the evolution equations of the...
The time interval between successive migrations of biological species causes a delay time in the reaction–diffusion equations describing their space–time dynamics. This lowers the predicted speed of the waves of advance, as compared to classical models. It has been shown that this delay-time effect improves the modeling of human range expan-sions....