کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898567 | 1631490 | 2018 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system
ترجمه فارسی عنوان
رفتار متضاد و ثبات راه حل های مثبت برای یک سیستم شکار خرابکار فضایی ناهمگن
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper, we continue to study a spatially heterogeneous predator-prey system where the interaction is governed by a Holling type II functional response, which has been studied in Du and Shi (2007) [14]. We further study the asymptotic profile of positive solutions and give a complete understanding of coexistence region. Moreover, a good understanding of the number, stability and asymptotic behavior of positive solutions is gained for large m. Finally, we further compare the difference of steady-state solutions between m>0 and m=0. It turns out that the spatial heterogeneity of the environment and the Holling type II functional response play a very important role in this model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 8, 15 October 2018, Pages 3754-3791
Journal: Journal of Differential Equations - Volume 265, Issue 8, 15 October 2018, Pages 3754-3791
نویسندگان
Shanbing Li, Jianhua Wu,