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.
| Mualliflar | Elmurodov, A. N., Yuldoshev , N. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 83-95 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2025-4-9 |
DOI: 10.29229/uzmj.2025-4-9 · Maqolaning asl sahifasi
free boundary, a prior bounds, existence and uniqueness, ratio-dependent model, spreading-vanishing dichotomy
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