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

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 t...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Results in control and optimization Ročník 16; s. 100474
Hlavní autoři: Thirthar, Ashraf Adnan, Abboubakar, Hamadjam, Alaoui, Abdesslem Lamrani, Nisar, Kottakkaran Sooppy
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.09.2024
Elsevier
Témata:
Asymptotic stability
Epidemic
Fear effect
Reproduction number
Epidemic
Asymptotic stability
92D30
Fear effect
Reproduction number
26A33
ISSN:2666-7207, 2666-7207
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí: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<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.
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2024.100474