Sharp Transition between Extinction and Propagation of Reaction

@inproceedings{Zlatos2005SharpTB,
  title={Sharp Transition between Extinction and Propagation of Reaction},
  author={Andrej Zlatos},
  year={2005}
}
(1.2) Tt = Txx + f(T ) with x ∈ R. This equation has been extensively studied in mathematical, physical and other literature, starting with the pioneering works of Fisher [7] and Kolmogorov, Petrovskii, Piskunov [11]. In these papers (1.2) was used to describe the propagation of advantageous genes in a population. The main object of study in these and many subsequent works was the existence and stability of traveling fronts for (1.2) and (1.1). In recent years most of the results have been… CONTINUE READING