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 equilibri...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.展开更多
In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage （time delay） is proposed. The model is analyzed by considering the effects of ext...In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage （time delay） is proposed. The model is analyzed by considering the effects of external as well as internal influences and other demographic processes such as emigration, intrinsic growth rate, death rate, etc. The asymptotical stability of the various equilibria is investigated. By analyzing the exponential characteristic equation with delay-dependent coefficients obtained through the variational matrix, it is found that Hopf bifurcation occurs when the evaluation period （time delay, T） passes through a critical value. Applying the normal form theory and the center manifold argument, we de- rive the explicit formulas determining the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.展开更多
In this paper, the model of competing technologies diffusion was set up in order to analyze the relationship of competing technologies in diffusion process, and the stability of diffusion model with two kinds of compe...In this paper, the model of competing technologies diffusion was set up in order to analyze the relationship of competing technologies in diffusion process, and the stability of diffusion model with two kinds of competing technologies was analyzed. It is concluded that dominator can hold competing vantage by suppressing its opponent, and besides, whether competing technology can gain superiority in diffusion process depends on the success rates of technology diffusion when the two kinds of technology match each other in strength.展开更多
The innovations actually diffuse among social network nowadays.Individual heterogeneity,interactions between individuals and network topology influence a lot.We established a "double threshold" modified mode...The innovations actually diffuse among social network nowadays.Individual heterogeneity,interactions between individuals and network topology influence a lot.We established a "double threshold" modified model and took the number of neighbors,neighbors' adoption and the cost-benefit parameters as crucial influencing factors.The diffusion of DaLingTong(CDMA450)products in MeiShan city of SiChuan province during 2004 to 2007 has been used to verity the model on Matlab.The validation results fit the actual diffusion pattern of DaLingTong(CDMA450) products very well.The results indicate that there exists a "tipping point(threshold)" in the process of innovation diffusion.If the initial adoption quantity is larger than the tipping point,then the product will spread to a large portion of people,otherwise is will collapse to zero.The model can effectively predict the diffusion of new products,and can influence the diffusion process by changing the value of the parameters.展开更多
Objective:The study aims to apply diffusion of innovation theory and structural equation modeling(SEM)to explore the current situation of personal risk perception and preparation of family emergency medicine kits(FEMK...Objective:The study aims to apply diffusion of innovation theory and structural equation modeling(SEM)to explore the current situation of personal risk perception and preparation of family emergency medicine kits(FEMKs)in Shanxi Province during the period of COVID-19.Moreover,the study intends to analyze the impact of innovation characteristics and risk perception to provide reference for the future popularization of FEMKs and the formulation of relevant policies.Methods:A total of 1,606 permanent residents in Shanxi Province were selected as respondents.SEM was used to analyze the relationship among innovation characteristics,personal risk perception,and behavioral intention.Results:The results demonstrate that only observability(λ=0.968)exerted a significant direct impact on the public's behavior of preparing FEMKs.Personal risk perception(λ=0.334)can have a significant direct impact on behavioral intention.Relative advantage,compatibility,and convenience of use exerted significant impacts on behavioral intention by influencing individual perceived risk(mediating effects=0.237,0.892,and 1.044,respectively).Conclusion:Residents are undergoing a period of change(i.e.,from the contemplation to the preparation stage).Thus,innovative characteristics can directly influence the behavior or behavioral intention of preparing FEMKs by influencing the public's risk perception.In the future,studies should focus on publicity and education of the behavior of preparing FEMKs to increase the awareness of residents and effectively improve the FEMKs level of importance given to this behavior.展开更多
Strategic innovation diffusion converts newly created knowledge into increasing a firm’s value primarily through innovative product offerings.In this paper,we present a time-based adoption pattern with pricing and pr...Strategic innovation diffusion converts newly created knowledge into increasing a firm’s value primarily through innovative product offerings.In this paper,we present a time-based adoption pattern with pricing and promotional expenditure as a three-dimensional innovation diffusion model(3D-IDM).In our proposed 3D-IDM,we assume that value of the product plays a crucial role of being the major driver of diffusion,and is classified into the following three main factors:(1)continuation time of the product in the market–representing goodwill of the product;(2)price of the product–indicating consumers’buying behaviour;and(3)marketing efforts of the firm.A special form of the Cobb–Douglas production function is used to design the three-dimensional framework.An empirical study is performed on number of consumer-durable sales data to validate and compare the proposed model.Various performance measures are treated uniquely using the Mahalanobis distance-based approach(DBA)to determine the relative strength of each model.展开更多
公众对自动驾驶技术的采纳意愿尚未与技术成熟度同步,认知差距与风险感知成为推广过程中的关键障碍。基于创新扩散理论(Diffusion of Innovations Theory),本文构建包含5个技术感知特征(相对优势、兼容性、复杂性、可试验性、可观察性)...公众对自动驾驶技术的采纳意愿尚未与技术成熟度同步,认知差距与风险感知成为推广过程中的关键障碍。基于创新扩散理论(Diffusion of Innovations Theory),本文构建包含5个技术感知特征(相对优势、兼容性、复杂性、可试验性、可观察性)与风险感知的理论模型,通过问卷调查法收集384份有效样本,采用结构方程模型进行实证分析。研究结果表明,相对优势、兼容性、可试验性和可观察性对公众采纳意愿具有显著正向影响,复杂性与风险感知则产生负向作用;其中,风险感知在5个感知特征与采纳意愿之间起部分中介作用。研究丰富自动驾驶技术社会接受机制的理论解释框架,为政策制定者与企业在推广策略、公众引导和风险沟通方面提供实证参考。展开更多
Abstract： Innovation is a process of taking an original idea and converting it into a business value, in which the engineers face some inventive problems which can be solved hardly by experience. TRIZ, as a new theor...Abstract： Innovation is a process of taking an original idea and converting it into a business value, in which the engineers face some inventive problems which can be solved hardly by experience. TRIZ, as a new theory for companies in China, provides both conceptual and procedural knowledge for finding and solving inventive problems. Because the government plays a leading role in the diffusion of TRIZ, too many companies from different industries are waiting to be trained, but the quantity of the trainers mastering TRIZ is incompatible with that requirement. In this context, to improve the training effect, an interactive training model of TRIZ for the mechanical engineers in China is developed and the implementation in the form of training classes is carried out. The training process is divided into 6 phases as follows： selecting engineers, training stage-l, finding problems, training stage-2, finding solutions and summing up. The government, TRIZ institutions and companies to join the programs interact during the process. The government initiates and monitors a project in form of a training class of TRIZ and selects companies to join the programs. Each selected companies choose a few engineers to join the class and supervises the training result. The TRIZ institutions design the training courses and carry out training curriculum. With the beginning of the class, an effective communication channel is established by means of interview, discussion face to face, E-mail, QQ and so on. After two years training practices, the results show that innovative abilities of the engineers to join and pass the final examinations increased distinctly, and most of companies joined the training class have taken congnizance of the power of TRIZ for product innovation. This research proposes an interactive training model of TRIZ for mechanical engineers in China to expedite the knowledge diffusion of TRIZ.展开更多
基金Project Supported by the National Natural Science Fund of China(10571143) the Research Fund of Southwest Normal University
文摘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.
基金the Support Provided by the I.K.G. Punjab Technical University,Kapurthala,Punjab,India,where one of us(RK) is a Research Scholar
文摘In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage （time delay） is proposed. The model is analyzed by considering the effects of external as well as internal influences and other demographic processes such as emigration, intrinsic growth rate, death rate, etc. The asymptotical stability of the various equilibria is investigated. By analyzing the exponential characteristic equation with delay-dependent coefficients obtained through the variational matrix, it is found that Hopf bifurcation occurs when the evaluation period （time delay, T） passes through a critical value. Applying the normal form theory and the center manifold argument, we de- rive the explicit formulas determining the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.
文摘In this paper, the model of competing technologies diffusion was set up in order to analyze the relationship of competing technologies in diffusion process, and the stability of diffusion model with two kinds of competing technologies was analyzed. It is concluded that dominator can hold competing vantage by suppressing its opponent, and besides, whether competing technology can gain superiority in diffusion process depends on the success rates of technology diffusion when the two kinds of technology match each other in strength.
基金ACKNOWLEDGEMENTS Project supported by the National Social Science Foundation of China （Grant No. 11BGL041）, Ministry of Education Humanities and Social Sciences General Project （12YJA630166）.
文摘The innovations actually diffuse among social network nowadays.Individual heterogeneity,interactions between individuals and network topology influence a lot.We established a "double threshold" modified model and took the number of neighbors,neighbors' adoption and the cost-benefit parameters as crucial influencing factors.The diffusion of DaLingTong(CDMA450)products in MeiShan city of SiChuan province during 2004 to 2007 has been used to verity the model on Matlab.The validation results fit the actual diffusion pattern of DaLingTong(CDMA450) products very well.The results indicate that there exists a "tipping point(threshold)" in the process of innovation diffusion.If the initial adoption quantity is larger than the tipping point,then the product will spread to a large portion of people,otherwise is will collapse to zero.The model can effectively predict the diffusion of new products,and can influence the diffusion process by changing the value of the parameters.
基金Science and Technology Development Center of Chinese Pharmaceutical Society Fund(Grand:CMEI2021KPYJ00607)Social Science Foundation of Shaanxi Province(Grand:2020M016).
文摘Objective:The study aims to apply diffusion of innovation theory and structural equation modeling(SEM)to explore the current situation of personal risk perception and preparation of family emergency medicine kits(FEMKs)in Shanxi Province during the period of COVID-19.Moreover,the study intends to analyze the impact of innovation characteristics and risk perception to provide reference for the future popularization of FEMKs and the formulation of relevant policies.Methods:A total of 1,606 permanent residents in Shanxi Province were selected as respondents.SEM was used to analyze the relationship among innovation characteristics,personal risk perception,and behavioral intention.Results:The results demonstrate that only observability(λ=0.968)exerted a significant direct impact on the public's behavior of preparing FEMKs.Personal risk perception(λ=0.334)can have a significant direct impact on behavioral intention.Relative advantage,compatibility,and convenience of use exerted significant impacts on behavioral intention by influencing individual perceived risk(mediating effects=0.237,0.892,and 1.044,respectively).Conclusion:Residents are undergoing a period of change(i.e.,from the contemplation to the preparation stage).Thus,innovative characteristics can directly influence the behavior or behavioral intention of preparing FEMKs by influencing the public's risk perception.In the future,studies should focus on publicity and education of the behavior of preparing FEMKs to increase the awareness of residents and effectively improve the FEMKs level of importance given to this behavior.
文摘Strategic innovation diffusion converts newly created knowledge into increasing a firm’s value primarily through innovative product offerings.In this paper,we present a time-based adoption pattern with pricing and promotional expenditure as a three-dimensional innovation diffusion model(3D-IDM).In our proposed 3D-IDM,we assume that value of the product plays a crucial role of being the major driver of diffusion,and is classified into the following three main factors:(1)continuation time of the product in the market–representing goodwill of the product;(2)price of the product–indicating consumers’buying behaviour;and(3)marketing efforts of the firm.A special form of the Cobb–Douglas production function is used to design the three-dimensional framework.An empirical study is performed on number of consumer-durable sales data to validate and compare the proposed model.Various performance measures are treated uniquely using the Mahalanobis distance-based approach(DBA)to determine the relative strength of each model.
文摘公众对自动驾驶技术的采纳意愿尚未与技术成熟度同步,认知差距与风险感知成为推广过程中的关键障碍。基于创新扩散理论(Diffusion of Innovations Theory),本文构建包含5个技术感知特征(相对优势、兼容性、复杂性、可试验性、可观察性)与风险感知的理论模型,通过问卷调查法收集384份有效样本,采用结构方程模型进行实证分析。研究结果表明,相对优势、兼容性、可试验性和可观察性对公众采纳意愿具有显著正向影响,复杂性与风险感知则产生负向作用;其中,风险感知在5个感知特征与采纳意愿之间起部分中介作用。研究丰富自动驾驶技术社会接受机制的理论解释框架,为政策制定者与企业在推广策略、公众引导和风险沟通方面提供实证参考。
基金supported by National Natural Science Foundation of China(Grant Nos.51275153,51105128)National Innovation Project of China(Grant No.2011IM010200)Social Science Planning Fund Program of Hebei Province,China(Grant No.HB13GL050)
文摘Abstract： Innovation is a process of taking an original idea and converting it into a business value, in which the engineers face some inventive problems which can be solved hardly by experience. TRIZ, as a new theory for companies in China, provides both conceptual and procedural knowledge for finding and solving inventive problems. Because the government plays a leading role in the diffusion of TRIZ, too many companies from different industries are waiting to be trained, but the quantity of the trainers mastering TRIZ is incompatible with that requirement. In this context, to improve the training effect, an interactive training model of TRIZ for the mechanical engineers in China is developed and the implementation in the form of training classes is carried out. The training process is divided into 6 phases as follows： selecting engineers, training stage-l, finding problems, training stage-2, finding solutions and summing up. The government, TRIZ institutions and companies to join the programs interact during the process. The government initiates and monitors a project in form of a training class of TRIZ and selects companies to join the programs. Each selected companies choose a few engineers to join the class and supervises the training result. The TRIZ institutions design the training courses and carry out training curriculum. With the beginning of the class, an effective communication channel is established by means of interview, discussion face to face, E-mail, QQ and so on. After two years training practices, the results show that innovative abilities of the engineers to join and pass the final examinations increased distinctly, and most of companies joined the training class have taken congnizance of the power of TRIZ for product innovation. This research proposes an interactive training model of TRIZ for mechanical engineers in China to expedite the knowledge diffusion of TRIZ.
