Dynamical analysis of the transmission of dengue fever via Caputo-Fabrizio fractional derivative

Chaos, Solitons & Fractals: X

Rashid Jan¹  Salah Boulaaras²  Amin Khan³  Muhammad Ahsan³ 

[1] Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi Arabia;Corresponding author.:;Department of Mathematics, University of Swabi, Swabi 23561, KPK, Pakistan;

关键词: Dengue infection;    Fractional derivatives;    Partial immunity;    Mathematical model;    Numerical scheme;    Dynamical behaviour;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work, we develop a sophisticated mathematical model for dengue transmission dynamics based on vaccination, reinfection and carrier class assumptions. We utilize Caputo-Fabrizio fractional framework to represent the transmission phenomena of dengue. For the model analysis, the basic theory and findings of the Caputo-Fabrizio fractional operator are provided. We utilize the next-generation approach to calculate the threshold parameter R0 for our proposed dengue infection model. We have shown that the disease-free steady-state of the hypothesized dengue system is locally asymptotically stable if R0<1 and is unstable in other conditions. The reproduction number of the system of dengue infection is investigated numerically. Furthermore, under the Caputo-Fabrizio approach, we offer a numerical approach for solving our fractional-order problem. We obtain the solution pathways of our system with various values of fractional-order ϑ and other input values in order to illustrate the effects of fractional-order ϑ and other input values on our system. Based on our findings, we forecast the most essential system factors for eradicating dengue infections.

【 授权许可】

Unknown