STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE

doi:10.1016/S0252-9602(07)60064-2

数学物理学报(英文版)

STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE

于宇梅; 王稳地

大连交通大学数理系, 大连 116028

收稿日期:2004-07-20 修回日期:2005-12-11 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 于宇梅
基金资助:
Project Supported by the National Natural Science Fund of China (10571143) and the Research Fund of Southwest Normal University

STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE

Yu Yumei; Wang Wendi

Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China

Received:2004-07-20 Revised:2005-12-11 Online:2007-07-20 Published:2007-07-20
Contact: Yu Yumei

摘要/Abstract

摘要：

In this article, an innovation diffusion model with the nonlinear acceptance is proposed to describe the dynamics of three competing products in a market. It is proved that the model admits a unique positive equilibrium, which is globally stable by excluding the existence of periodic solutions and by using the theory of three dimensional competition systems.

关键词: Global stability, nonlinear acceptance, innovation diffusion model

Abstract:

Key words: Global stability, nonlinear acceptance, innovation diffusion model

中图分类号:

91B25

于宇梅; 王稳地. STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE[J]. 数学物理学报(英文版), 2007, 27(3): 645-655.

Yu Yumei; Wang Wendi. STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE[J]. Acta mathematica scientia,Series B, 2007, 27(3): 645-655.

[1]	Rakesh KUMAR, Anuj Kumar SHARMA, Kulbhushan AGNIHOTRI. STABILITY AND BIFURCATION ANALYSIS OF A DELAYED INNOVATION DIFFUSION MODEL[J]. 数学物理学报(英文版), 2018, 38(2): 709-732.
[2]	曾宪忠, 顾永耕. PERSISTENCE AND THE GLOBAL DYNAMICS OF THE POSITIVE SOLUTIONS FOR A RATIODEPENDENT PREDATOR-PREY SYSTEM WITH A CROWDING TERM IN THE PREY EQUATION[J]. 数学物理学报(英文版), 2016, 36(3): 689-703.
[3]	M. YOUSEFNEZHAD, S. A. MOHAMMADI. STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES[J]. 数学物理学报(英文版), 2016, 36(1): 62-72.
[4]	Nguyen Huu KHANH. STABILITY ANALYSIS OF A COMPUTER VIRUS PROPAGATION MODEL WITH ANTIDOTE IN VULNERABLE SYSTEM[J]. 数学物理学报(英文版), 2016, 36(1): 49-61.
[5]	S.H. Saker . ON THE GLOBAL STABILITY CONJECTURE OF THE GENOTYPE SELECTION MODEL[J]. 数学物理学报(英文版), 2011, 31(2): 512-528.

STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE

STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

Metrics

本文评价

推荐阅读 10