Global stability in a diffusive Beddington-DeAngelis and Tanner predator-prey model
نویسندگان
چکیده
منابع مشابه
Global stability in a diffusive Holling-Tanner predator-prey model
A diffusive Holling–Tanner predator–prey model with no-flux boundary condition is considered, and it is proved that the unique constant equilibrium is globally asymptotically stable under a new simpler parameter condition. © 2011 Elsevier Ltd. All rights reserved.
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and Applied Analysis 3 Under A1 , let u u − u∗, v v − v∗ and drop the bars for simplicity of notations, then 1.1 can be transformed into the following equivalent system: ut d1Δu t, x u u∗ 1 − u t − τ, x u∗ − s u u ∗ v v∗ m u u∗ n v v∗ , vt d2Δv t, x r u u∗ v v∗ m u u∗ n v v∗ − d v v∗ . 2.2 Let P u, v uv/ m u nv . By u∗ 1 − u∗ − su∗v∗/ m u∗ nv∗ 0 and −dv∗ ru∗v∗/ m u∗ nv∗ 0 2.2 becomes ut d1Δu t,...
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ژورنال
عنوان ژورنال: Filomat
سال: 2019
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1917511l