Nonlinear age-dependent diffusive equations:: A bifurcation approach

被引:16
作者
Delgado, Manuel [1 ]
Molina-Becerra, Monica [2 ]
Suarez, Antonio [1 ]
机构
[1] Univ Seville, Fac Matemat, Dept Ecuaciones Diferenciales & Anal Numer, E-41012 Seville, Spain
[2] Univ Seville, Escuela Super Ingn, Dept Matemat Aplicada 2, Seville, Spain
关键词
age dependent diffusive equations; bifurcation method; Holling-Tanner model;
D O I
10.1016/j.jde.2008.02.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main goal of this paper is the study of the existence and uniqueness of positive solutions of some nonlinear age-dependent diffusive models, arising from dynamic populations. We use a bifurcation method, for which it has been necessary to study in detail the linear and eigenvalue problems associated to the nonlinear problem in an appropriate space. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:2133 / 2155
页数:23
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