O‘zbekiston matematika jurnali 69-tom 4-san (2025) · 83-95-betler
A free boundary problem with a Stefan condition for a ratio-dependent predator-prey model
Elmurodov, A. N., Yuldoshev, N.
Annotaciya
In this paper we study a ratio-dependent predator-prey model with a free boundary caused by predator-prey interaction over a one dimensional habitat. We study the long time behaviors of the two species and prove a spreading-vanishing dichotomy; namely, as $t$ goes to infinity, both prey and predator successfully spread to the whole space and survive in the new environment, or they spread within a bounded area and eventually die out. The criteria governing spreading and vanishing are obtained.
free boundary, a prior bounds, existence and uniqueness, ratio-dependent model, spreading-vanishing dichotomy
Metadata derekkózi: jurnal OAI-PMH arxivi · Sindex tolıq mátindi saqlamaydı, derekkózge silteme beredi.