Work

Dynamical behavior of a fractional-order epidemic model for investigating two fear effect functions

Year: 2024

Type: article

Abstract: Using the Caputo operator, a model for a fractional-order epidemic is developed to investigate the fear effect in a pathogenic environment and vaccination procedure. First, we examine if the proposed model is positive. Next, based on the value of the control reproduction number R c , we compute both the control reproduction and strength numbers and derive the stability criteria of the disease-free equilibrium. In fact, we use the comparison theorem to show that the disease-free equilibrium point is globally asymptotically stable whenever R c < 1 . Next, we prove that the solutions of the fractional model exist and are unique. Finally, several numerical simulations are conducted to verify our theoretical results.

Source: Results in Control and Optimization

DOI: 10.1016/j.rico.2024.100474

Authors: Ashraf Adnan Thirthar, Hamadjam Abboubakar, Abdesslem Lamrani Alaoui, Kottakkaran Sooppy Nisar

Institutions: University Of Fallujah, University of Ngaoundéré, Université Moulay Ismail de Meknes, Prince Sattam Bin Abdulaziz University, Saveetha 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: $1,230