کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10346086 | 698709 | 2015 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniqueness and stability of a predator-prey model with C-M functional response
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Uniqueness and stability of a predator-prey model with C-M functional response Uniqueness and stability of a predator-prey model with C-M functional response](/preview/png/10346086.png)
چکیده انگلیسی
In this paper, we are concerned with positive solutions of a predator-prey model with Crowley-Martin functional response under Dirichlet boundary conditions. First, we establish the existence of positive solutions when (a,c) is close to (λ1,λ1). Next, the stability properties of nonnegative solutions are discussed by spectral analysis. In addition, we obtain a complete understanding of the uniqueness and non-uniqueness of positive solutions by the Lyapunov-Schmidt procedure and the perturbation technique. At last, some numerical simulations are presented to supplement the analytic results in one dimension.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 69, Issue 10, May 2015, Pages 1080-1095
Journal: Computers & Mathematics with Applications - Volume 69, Issue 10, May 2015, Pages 1080-1095
نویسندگان
Shanbing Li, Jianhua Wu, Yaying Dong,