Innovation diffusion model in patch environment

被引：27
作者：
Wendi, W [1 ]
Fergola, P
Tenneriello, C
机构：
[1] Xian Jiaotong Univ, Dept Math, Xian 710049, Peoples R China
[2] Univ Naples Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Naples, Italy
[3] SE Normal Univ, Dept Math, Chongqing 400715, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 134卷 / 01期
关键词：
innovation; patch; stability; periodic; delay;
D O I：
10.1016/S0096-3003(01)00268-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mathematical model is proposed to describe the dynamics of users of one product in two different patches. Advertisement force, contact rate between users and non-users, population dispersal rate and returning rate from user class to non-user class are chosen as key parameters. For the product with a long life-span, it is assumed that the-returning rate is proportional to the number of users. It is shown that this model has a unique positive equilibrium which is globally stable. For the product with a short life-span, time delays are introduced to represent the duration of the product in two different markets and the stability of a positive equilibrium is analyzed in one reasonable case. Periodic advertisements are also incorporated and the existence and uniqueness of positive periodic solutions are investigated. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：51 / 67
页数：17
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