کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610476 1338566 2014 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On some free boundary problems of the prey–predator model
ترجمه فارسی عنوان
در برخی از مشکلات مرزی آزاد از پیش دبستان مدل دزدان دریایی؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper we investigate some free boundary problems for the Lotka–Volterra type prey–predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free boundary. We prove a spreading–vanishing dichotomy, namely the two species either successfully spread to the entire space as time t goes to infinity and survive in the new environment, or they fail to establish and die out in the long run. The long time behavior of solution and criteria for spreading and vanishing are also obtained. Finally, when spreading successfully, we provide an estimate to show that the spreading speed (if exists) cannot be faster than the minimal speed of traveling wavefront solutions for the prey–predator model on the whole real line without a free boundary.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 10, 15 May 2014, Pages 3365–3394
نویسندگان
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