Mathematical Modelling of Marketing Dynamics: A Conceptualization of Ecological Growth Model in Fair and Unfair Competitions
Keywords:
Cheap goods and expensive products, Ecological Growth Model, Fair and unfair competitions, Marketing DynamicsAbstract
A nonlinear interaction model was proposed to study the dynamics of marketing by considering ecosystem in a trading environments that comprises two populations as fair competition –cheap goods and unfair –expensive products. The formulated model was analyzed to obtain the existence of equilibrium in bio-marketing ecosystem and dynamical behavior of equilibrium points which yielded a trivial and semi trivial solutions with conditions for stability and instability of the system. The system is unstable because the eigenvalue is greater than one. The system model revealed that there is fluctuation pattern as a result of the periodic functions and this was supported by the exact solutions and simulations. The study revealed that advertisement, sellers and buyers attitude which represents human action and diffusion significantly influenced the cheap goods more than the expensive products. In this study, table 2 describes the convergence point and the rate at which cheap goods enters the market in cartons of three, four and so on is higher than expensive products rate. The findings of this study supports decent work and economic growth, industry, innovation and infrastructure, responsible consumption and production, and partnerships for the goals that is the SDGs 8, 9, 12 and 17 respectively. MatLab ODE45 numerical scheme was used for the simulations.
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Copyright (c) 2026 Shahad Munir Namus, Taghrid Mahdi Kazim, Murtadaa Rushdi Hamid Rashid
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