Abstract:
Dengue fever has a huge impact on people's physical, social, and economic lives in low-income locations worldwide. Researchers use epidemic models to better understand the transmission patterns of dengue fever in order to recommend effective preventative measures and give data for vaccine and treatment development. We use fractional calculus to organise the transmission phenomena of dengue fever, including immunisation, reinfection, therapy, and asymptotic carriers. In addition, we focused our study on the dynamical behavior and qualitative approach of dengue infection. The existence and uniqueness of the solution of the suggested dengue dynamics are inspected through the fixed point theorems of Schaefer and Banach. The Ulam-Hyers stability of the suggested dengue model is established. To illustrate the contribution of the input factors on the system of dengue infection, the solution paths are studied using the Laplace Adomian decomposition approach. Furthermore, numerical simulations are used to show the effects of fractional-order, immunity loss, vaccination, asymptotic fraction, biting rate, and therapy. We have established that asymptomatic carriers, bite rates, and immunity loss rates are all important factors that might make controlling more challenging. The intensity of dengue fever may be controlled by reducing mosquito bite rates, whereas the asymptotic fraction is risky and can transmit the illness to noninfected regions. Vaccination, fractional order, index of memory, and medication can be employed as proper control parameters. � 2022 Tao-Qian Tang et al.
Description:
Tang, T.-Q., International Intercollegiate Ph.D. Program, National Tsing Hua University, Hsinchu, 30013, Taiwan, Department of Internal Medicine, E-Da Hospital, Kaohsiung, 82445, Taiwan, School of Medicine, College of Medicine, I-Shou University, Kaohsiung, 82445, Taiwan, Department of Family and Community Medicine, E-Da Hospital, Kaohsiung, 82445, Taiwan, Department of Engineering and System Science, National Tsing Hua University, Hsinchu, 30013, Taiwan; Jan, R., Department of Mathematics, University of Swabi, KPK, Swabi, 23430, Pakistan; Bonyah, E., Department of Mathematics Education, University of Education Winneba Kumasi (Kumasi Campus), Kumasi, 00233, Ghana; Shah, Z., Department of Mathematical Sciences, University of Lakki Marwat, KPK, Lakki Marwat, 28420, Pakistan; Alzahrani, E., Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia