Mathematical analysis of an integral equation arising from population dynamics

被引：1
|
作者：
Kay, D. A. [1 ]
Sagheer, M. [1 ]
Tang, Q. [1 ]
机构：
[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England
来源：
MATHEMATICAL BIOSCIENCES | 2007年 / 210卷 / 02期
关键词：
population dynamics; non-linear integral equations; eigenvalues and eigenvectors; GENETIC-VARIABILITY; ASEXUAL POPULATION; EVOLUTION; SEX; MODEL;
D O I：
10.1016/j.mbs.2007.05.013
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we establish the existence of travelling wave solution to an intrinsically non-linear differential-integral equation formed as a result of mathematical modelling of the evolution of an asexual population in a changing environment. This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows us to use the theory of positive matrices to get some very useful estimates and then to confirm the existence of solution. We also exhibit numerical simulation results and explain the biological meaning of the results. (C) 2007 Elsevier Inc. All rights reserved.
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页码：415 / 435
页数：21
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