Analytic solutions of a nonlinear convective equation in population dynamics

被引：17
作者：
Giuggioli, L
Kenkre, VM
机构：
[1] Univ New Mexico, Consortium Amer Interdisciplinary Sci, Albuquerque, NM 87131 USA
[2] Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2003年 / 183卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
transport in biological system; convection; logistic nonlinearity; Fisher equation; GROWTH; WAVES;
D O I：
10.1016/S0167-2789(03)00176-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Analytic solutions are presented for a simple nonlinear convective equation of use in population dynamics. In spite of its simplicity the equation predicts rich behavior including a velocity inversion transition. Stability considerations are also presented. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：245 / 259
页数：15
相关论文
共 21 条
[1]   Spatiotemporal patterns in the Hantavirus infection [J].
Abramson, G ;
Kenkre, VM .
PHYSICAL REVIEW E, 2002, 66 (01)
[2]   Effects of transport memory and nonlinear damping in a generalized Fisher's equation [J].
Abramson, G ;
Bishop, AR ;
Kenkre, VM .
PHYSICAL REVIEW E, 2001, 64 (06) :6
[3]   Analytic solutions for nonlinear waves in coupled reacting systems [J].
Abramson, G ;
Kenkre, VM ;
Bishop, AR .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (3-4) :427-436
[4]   Simulations in the mathematical modeling of the spread of the Hantavirus [J].
Aguirre, M.A. ;
Abramson, G. ;
Bishop, A.R. ;
Kenkre, V.M. .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 66 (04) :1-041908
[5]   Cooperative self-organization of microorganisms [J].
Ben-Jacob, E ;
Cohen, I ;
Levine, H .
ADVANCES IN PHYSICS, 2000, 49 (04) :395-554
[6]   Life and death near a windy oasis [J].
Dahmen, KA ;
Nelson, DR ;
Shnerb, NM .
JOURNAL OF MATHEMATICAL BIOLOGY, 2000, 41 (01) :1-23
[7]   The wave of advance of advantageous genes [J].
Fisher, RA .
ANNALS OF EUGENICS, 1937, 7 :355-369
[8]   Applicability of the Fisher equation to bacterial population dynamics [J].
Kenkre, VM ;
Kuperman, MN .
PHYSICAL REVIEW E, 2003, 67 (05) :5
[9]   Saturation of charge carrier velocity with increasing electric fields: Theoretical investigations for pure organic crystals [J].
Kenkre, VM ;
Parris, PE .
PHYSICAL REVIEW B, 2002, 65 (20) :1-11
[10]  
KENKRE VM, 2003, P PASI MOD CHALL STA, P63
123