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

Autor: Ashraf Adnan Thirthar, Hamadjam Abboubakar, Abdesslem Lamrani Alaoui, Kottakkaran Sooppy Nisar
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Control and Optimization, Vol 16, Iss , Pp 100474- (2024)
Druh dokumentu: article
ISSN: 2666-7207
DOI: 10.1016/j.rico.2024.100474
Popis: 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 Rc, 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 Rc
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