کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616947 | 1339364 | 2013 | 13 صفحه PDF | دانلود رایگان |

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.
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 1, 1 May 2013, Pages 85–97