Convergence to generalized transition waves for some Holling-Tanner prey- predator reaction-diffusion system
Language
en
Article de revue
This item was published in
Journal de Mathématiques Pures et Appliquées. 2013, vol. 100, n° 1, p. 1-15
Elsevier
English Abstract
This manuscript is devoted to the study of some spreading properties of Holling-Tanner prey-predator reaction-diffusion system. We more particularly focus on the invasion of introduced predator in some environment which ...Read more >
This manuscript is devoted to the study of some spreading properties of Holling-Tanner prey-predator reaction-diffusion system. We more particularly focus on the invasion of introduced predator in some environment which is initially well-populated of prey. We first prove that, for the arbitrary dimensional problem, the system has a spreading speed property. We derive more precise information for the one-dimensional system for which the long time behaviour is studied and it is proved that the solution converges (in some sense) towards a generalized transition wave with some determined global mean speed of propagationRead less <
Origin
Hal imported