Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase
Abstract This paper studies the dynamics of two competitive products diffusion in heterogeneous consumer social networks with repeat purchase. We demonstrate a threshold for the diffusion rate above which a single product can persistently diffuse in heterogeneous consumer social networks without con...
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Online Access: | http://link.springer.com/article/10.1186/s13662-019-2252-8 |
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doaj-14f49dd81a4a4d58a5a3cbe30acde0902020-11-25T03:43:59ZengSpringerOpenAdvances in Difference Equations1687-18472019-08-012019111910.1186/s13662-019-2252-8Two competitive products diffusion in heterogeneous consumer social networks with repeat purchaseQiwei Huang0Yulin Zhang1School of Economics and Management, Southeast UniversitySchool of Economics and Management, Southeast UniversityAbstract This paper studies the dynamics of two competitive products diffusion in heterogeneous consumer social networks with repeat purchase. We demonstrate a threshold for the diffusion rate above which a single product can persistently diffuse in heterogeneous consumer social networks without considering advertising strategy if the other product fails to diffuse, and there exists a unique positive equilibrium state where two competitive products coexist and persistently diffuse in heterogeneous consumer social networks without considering advertising strategy. We also prove that there exists at least one positive equilibrium state where two products coexist and persistently diffuse in heterogeneous consumer social networks if considering advertising strategy. The numerical simulations show that the higher the average degree of heterogeneous consumer social networks, the faster the two competitive products diffuse, and the shorter the time required to reach the stable state.http://link.springer.com/article/10.1186/s13662-019-2252-8Product diffusionCompetitive productsConsumer social networksDynamicsHeterogeneity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qiwei Huang Yulin Zhang |
spellingShingle |
Qiwei Huang Yulin Zhang Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase Advances in Difference Equations Product diffusion Competitive products Consumer social networks Dynamics Heterogeneity |
author_facet |
Qiwei Huang Yulin Zhang |
author_sort |
Qiwei Huang |
title |
Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase |
title_short |
Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase |
title_full |
Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase |
title_fullStr |
Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase |
title_full_unstemmed |
Two competitive products diffusion in heterogeneous consumer social networks with repeat purchase |
title_sort |
two competitive products diffusion in heterogeneous consumer social networks with repeat purchase |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2019-08-01 |
description |
Abstract This paper studies the dynamics of two competitive products diffusion in heterogeneous consumer social networks with repeat purchase. We demonstrate a threshold for the diffusion rate above which a single product can persistently diffuse in heterogeneous consumer social networks without considering advertising strategy if the other product fails to diffuse, and there exists a unique positive equilibrium state where two competitive products coexist and persistently diffuse in heterogeneous consumer social networks without considering advertising strategy. We also prove that there exists at least one positive equilibrium state where two products coexist and persistently diffuse in heterogeneous consumer social networks if considering advertising strategy. The numerical simulations show that the higher the average degree of heterogeneous consumer social networks, the faster the two competitive products diffuse, and the shorter the time required to reach the stable state. |
topic |
Product diffusion Competitive products Consumer social networks Dynamics Heterogeneity |
url |
http://link.springer.com/article/10.1186/s13662-019-2252-8 |
work_keys_str_mv |
AT qiweihuang twocompetitiveproductsdiffusioninheterogeneousconsumersocialnetworkswithrepeatpurchase AT yulinzhang twocompetitiveproductsdiffusioninheterogeneousconsumersocialnetworkswithrepeatpurchase |
_version_ |
1724516973386137600 |