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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Topological degree in the generalized Gause prey–predator model
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
نویسندگان
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