کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616947 1339364 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Entire solutions of a monostable age-structured population model in a 2D lattice strip
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Entire solutions of a monostable age-structured population model in a 2D lattice strip
چکیده انگلیسی

This paper is concerned with the entire solutions for a monostable age-structured population model in a 2D lattice strip, i.e., solutions defined in the whole space and for all time t∈Rt∈R. In the quasi-monotone case, we first establish the existence and asymptotic behavior of solutions of the equation without jj (∈Z∈Z) variable. Combining traveling wave fronts with different speeds and a solution without jj variable, the existence and qualitative features of entire solutions are then proved. In the non-quasi-monotone case, we introduce two auxiliary quasi-monotone equations and establish a comparison argument for the three systems. Some new entire solutions are then constructed by using the comparison argument, the traveling wave fronts and a solution without jj variable of the auxiliary equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 1, 1 May 2013, Pages 85–97
نویسندگان
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