کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616259 | 1631566 | 2014 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Topological degree in the generalized Gause prey–predator model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We consider a generalized Gause prey–predator model with T -periodic continuous coefficients. In the case where the Poincaré map PP over time T is well defined, the result of the paper can be explained as follows: we locate a subset U of R2R2 such that the topological degree d(I−P,U)d(I−P,U) equals to +1. The novelty of the paper is that the later is done under only continuity and (some) monotonicity assumptions for the coefficients of the model. A suitable integral operator is used in place of the Poincaré map to cope with possible nonuniqueness of solutions. The paper, therefore, provides a new framework for studying the generalized Gause model with functional differential perturbations and multi-valued ingredients.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 2, 15 February 2014, Pages 525–540
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 2, 15 February 2014, Pages 525–540
نویسندگان
Oleg Makarenkov,