Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling
The growing significance of software upgrades is one of the most intriguing and pertinent market trends of the last few years. Fierce competition on a worldwide scale combined with the ever-changing environment has rendered software products outdated. During a program's early stages, increasing...
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| Format: | Article |
| Language: | English |
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Wrocław University of Science and Technology
2024-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no4_2.pdf |
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| author | Anchal Anchal Arunava Majumder Pardeep Goel Manoj Singh Adhikari |
| author_facet | Anchal Anchal Arunava Majumder Pardeep Goel Manoj Singh Adhikari |
| author_sort | Anchal Anchal |
| collection | DOAJ |
| description | The growing significance of software upgrades is one of the most intriguing and pertinent market trends of the last few years. Fierce competition on a worldwide scale combined with the ever-changing environment has rendered software products outdated. During a program's early stages, increasing efforts are made to increase overall performance before its inherent performance limit is reached. To characterize the process of awareness, appraisal, and decision-making, mathematical models with step structures are presented. The first step is to present a system of ordinary differential equations that includes both the awareness and decision-making stages. Furthermore, it is demonstrated that if the adoption rate is strongly nonlinear, then although there exists a stable equilibrium, it is not a global attractor. It is shown that the system has bifurcation points. The direction of equilibrium bifurcation is also explored. (original abstract) |
| format | Article |
| id | doaj-art-42072de54d5f4f7189fba4aaedff7ba4 |
| institution | Kabale University |
| issn | 2081-8858 2391-6060 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj-art-42072de54d5f4f7189fba4aaedff7ba42025-08-20T03:28:44ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602024-01-01vol. 34no. 43152171702550Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion ModellingAnchal Anchal0Arunava Majumder1Pardeep Goel2Manoj Singh Adhikari3Lovely Professional University, Phagwara, IndiaLovely Professional University, Phagwara, IndiaShri Jagdishprasad Jhabarmal Tibrewala University, Jhunjhunu, IndiaLovely Professional University, Phagwara, IndiaThe growing significance of software upgrades is one of the most intriguing and pertinent market trends of the last few years. Fierce competition on a worldwide scale combined with the ever-changing environment has rendered software products outdated. During a program's early stages, increasing efforts are made to increase overall performance before its inherent performance limit is reached. To characterize the process of awareness, appraisal, and decision-making, mathematical models with step structures are presented. The first step is to present a system of ordinary differential equations that includes both the awareness and decision-making stages. Furthermore, it is demonstrated that if the adoption rate is strongly nonlinear, then although there exists a stable equilibrium, it is not a global attractor. It is shown that the system has bifurcation points. The direction of equilibrium bifurcation is also explored. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no4_2.pdf |
| spellingShingle | Anchal Anchal Arunava Majumder Pardeep Goel Manoj Singh Adhikari Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling Operations Research and Decisions |
| title | Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling |
| title_full | Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling |
| title_fullStr | Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling |
| title_full_unstemmed | Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling |
| title_short | Adoption of a Newly Launched Software Product in the Market by Innovation Diffusion Modelling |
| title_sort | adoption of a newly launched software product in the market by innovation diffusion modelling |
| url | https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no4_2.pdf |
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