کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11004301 | 1470384 | 2019 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Allee effect acting on the prey species in a Leslie-Gower predation model
ترجمه فارسی عنوان
اثر اللی بر روی گونه های شکار در یک مدل شکار لسلی-گور
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
چکیده انگلیسی
We study the consequences of an Allee effect acting on the prey species in a Leslie-Gower predator-prey model. For this goal we make extensive use of analytical tools from dynamical systems theory complemented with a numerical bifurcation analysis. By studying the dynamics at infinity under a suitable compactification we prove that the model is well-posed in the sense that all the solutions are bounded. We provide a thorough analysis of the number and stability of equilibrium points. In particular, the origin is a non-hyperbolic equilibrium and presents different regimes of local (un)stability depending on certain conditions on the model parameters. In addition, we find curves of homoclinic, Hopf, and saddle-node bifurcations around a Bogdanov-Takens point. In this process, our findings indicate that the survival threshold for both populations in the two-dimensional phase space can be either a limit cycle, a homoclinic orbit, or the stable manifold of a saddle-equilibrium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 45, February 2019, Pages 895-917
Journal: Nonlinear Analysis: Real World Applications - Volume 45, February 2019, Pages 895-917
نویسندگان
Nicole MartÃnez-Jeraldo, Pablo Aguirre,