Global dynamics and numerical simulation of a modified epidemiological model for viral marketing on social networks

Manh Tuan Hoang and Hoai Thu Pham

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 228, issue C, 225-244

Abstract: The aim of this work is to conduct a rigorous mathematical analysis for global dynamics and numerical simulation of a recognized viral marketing (VM) model, which is described by a system of ordinary differential equations (ODEs). We first establish positivity and boundedness of solutions and then investigate local and global asymptotic stability properties of possible equilibrium points. As an important consequence, complex dynamics of the VM model is determined fully.

Keywords: Global dynamics; Mathematical epidemiology; Viral marketing; Lyapunov stability theory; Nonstandard finite difference; Mickens’ methodology; Numerical simulation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:228:y:2025:i:c:p:225-244

DOI: 10.1016/j.matcom.2024.08.024

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