Adoption of a newly launched software product in the market by innovation diffusion modelling

• Autorzy: ANCHAL Anchal , MAJUMDER Arunava , GOEL Pardeep , ADHIKARI Manoj Singh
• Języki publikacji: EN

Abstrakty

EN

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 Fierce competition on a worldwide scale combined with the ever-changing environment has rendered software products outdated.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.

Słowa kluczowe

EN

diffusion modelling; newly launched software; nonlinearity; equilibrium

• Wydawca: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2024
• Tom: 34
• Numer: 4
• Strony: 31-52

Twórcy

autor

ANCHAL Anchal

• Department of Mathematics, Lovely Professional University, Phagwara, Punjab 144 411, India

autor

MAJUMDER Arunava

• Department of Mathematics, Lovely Professional University, Phagwara, Punjab 144 411, India,

autor

GOEL Pardeep

• Department of Mathematics, Shri Jagdishprasad Jhabarmal Tibrewala University, Jhunjhunu, Rajasthan 333 001, India

autor

ADHIKARI Manoj Singh

• School of Electronics and Electrical Engineering, Lovely Professional University, Phagwara, Punjab, India 144 411

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Identyfikatory

DOI

10.37190/ord240402