Work

Using treatment and vaccination strategies to investigate transmission dynamics of influenza mathematical model

Year: 2025

Type: article

Abstract: In this study, we built a deterministic compartmental mathematical model for understanding the transmission dynamics of influenza. The model includes multiple infection phases, including susceptible, exposed, carrier, infected, hospitalized, recovered, and vaccinated populations. Real-world epidemiology data calibrate the model using a least squares optimization approach. The model is mathematically well-posed, with demonstrations of existence, uniqueness, positivity, and boundedness of solutions. The basic reproduction number R 0 is computed using the next generation matrix approach. It is found to be 0.480, showing that a single infected individual, on average, infects less than one person in a completely susceptible population. Stability analysis is performed using a Lyapunov function, revealing that the disease-free equilibrium is locally asymptotically stable when R 0 < 1 and globally stable when R 0 > 1 . Sensitivity analysis suggests that vaccination has a more substantial effect on decreasing transmission compared to treatment. Contour plots of R 0 with respect to key parameters demonstrate that intervention techniques affect epidemic control. Numerical simulations are carried out utilizing the Nonstandard Finite Difference (NSFD) approach to confirm the analytical findings and explore alternative control situations.

Source: Ain Shams Engineering Journal

DOI: 10.1016/j.asej.2025.103519

Authors: Zakirullah, Liang Li, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad

Institutions: University of Electronic Science and Technology of China, Prince Sultan University, Gulf University for Science & Technology, China Medical University, Sefako Makgatho Health Sciences University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $1,200