Modeling the non-integer dynamics of a vector-borne infection with nonlocal and nonsingular kernel

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: Feb. 20, 2025

Abstract Vector-borne infections impose a significant burden on global health systems and economies due to their widespread impact the substantial resources required for prevention, control, treatment efforts. In this work, we formulate mathematical model transmission dynamics of vector-borne infection with effect vaccination through Atangana-Baleanu derivative. The solutions are positive bounded initial values state variable. We presented basic concept theory fractional calculus analysis model. determine threshold parameter, denoted by $$\mathcal {R}_0$$ , using next-generation matrix method. local asymptotic stability system at disease-free equilibrium is analyzed. To establish existence proposed model, employ fixed-point theory. A numerical scheme developed visualize system’s dynamical behavior under varying input parameters. Numerical simulations conducted illustrate how these parameters influence system. results highlight key factors affecting control diseases, offering insights into strategies prevention mitigation.

Language: Английский

On the Dynamics of COVID-19 Propagation with Vaccination and Optimal Control Strategies

Brazilian Journal of Physics, Journal Year: 2025, Volume and Issue: 55(3)

Published: April 15, 2025

Language: Английский