کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617949 1339395 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coexistence of a diffusive predator–prey model with Holling type-II functional response and density dependent mortality
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Coexistence of a diffusive predator–prey model with Holling type-II functional response and density dependent mortality
چکیده انگلیسی

In this paper, we consider a two competitor–one prey diffusive model in which both competitors exhibit Holling type-II functional response and one of the competitors exhibits density dependent mortality rate. First, we study the local and global existence of strong solution by using the C0 analytic semigroup. Then, we consider the local and global stability of the positive constant equilibrium by using the linearization method and Laypunov functional method, respectively. Furthermore, we derive some results for the existence and non-existence of non-constant stationary solutions when the diffusion rate of a certain species is small or large. The existence of non-constant stationary solutions implies the possibility of pattern formation in this system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 385, Issue 2, 15 January 2012, Pages 913-927