کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1139528 | 1489409 | 2014 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuous-time predator-prey systems with Allee effects in the prey
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A continuous-time predator-prey model without spatial variation is proposed to study the impact of Allee effects upon the predator-prey interaction when the prey population is subject to Allee effects. The system exhibits a threshold below which both populations become extinct. The model undergoes a Hopf bifurcation when the unique interior steady state loses its stability. We also examine the notion of Turing instability of the homogeneous interior steady state when both populations can disperse randomly. We prove that the solutions are square integrable and the system does not exhibit Turing instability. It is demonstrated via numerical simulations that the system may exhibit spatial nonhomogeneous steady states.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 105, November 2014, Pages 1-16
Journal: Mathematics and Computers in Simulation - Volume 105, November 2014, Pages 1-16
نویسندگان
Eugenio Aulisa, Sophia R.-J. Jang,