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Öğe Author Correction: Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels (Scientific Reports, (2023), 13, 1, (15320), 10.1038/s41598-023-42106-0)(Nature Research, 2023) Rashid, Saima; Karim, Shazia; Akgül, Ali; Bariq, Abdul; Elagan, S.K.Correction to: Scientific Reports, published online 15 September 2023 The original version of this Article contained an error. In the original version of this article, the Acknowledgements section was missing. The Acknowledgements section now reads: “The researchers would like to acknowledge the Deanship of Scientific Research at Taif University for funding this work.” The original Article has been corrected. © 2023, Springer Nature Limited.Öğe Bifurcation Analysis of Travelling Waves and Multi-rogue Wave Solutions for a Nonlinear Pseudo-Parabolic Model of Visco-Elastic Kelvin-Voigt Fluid(Hindawi Ltd, 2022) Uddin, Sabur; Karim, Shazia; Alshammari, F. S.; Roshid, Harun-Or; Noor, N. F. M.; Hoque, Fazlul; Nadeem, MuhammadThrough this article, we focus on the extension of travelling wave solutions for a prevalent nonlinear pseudo-parabolic physical Oskolkov model for Kevin-Voigt fluids by using two integral techniques. First of all, we explore the bifurcation and phase portraits of the model for different parametric conditions via a dynamical system approach. We derive smooth waves of the bright bell and dark bell, periodic waves, and singular waves of dark and bright cusps, in correspondence to homoclinic, periodic, and open orbits with cusp, respectively. Each orbit of the phase portraits is envisaged through various energy states. Secondly, with the help of a prevalent unified scheme, an inventive version of exact analytic solutions comprising hyperbolic, trigonometric, and rational functions can be invented with some collective parameters. The unified scheme is an excitably auspicious method to procure novel interacting travelling wave solutions and to obtain multipeaked bright and dark solitons, shock waves, bright bell waves with single and double shocks, combo waves of the bright-dark bell and dark-bright bell with a shock, dark bell into a double shock wave, and bright-dark multirogue type wave solutions of the model. The dynamics of the procured nonlinear wave solutions are also presented through 2-D, 3-D, and density plots with specified parameters.Öğe Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels(Nature Portfolio, 2023) Rashid, Saima; Karim, Shazia; Akguel, Ali; Bariq, Abdul; Elagan, S. K.Lassa fever is a hemorrhagic virus infection that is usually spread by rodents. It is a fatal infection that is prevalent in certain West African countries. We created an analytical deterministic-stochastic framework for the epidemics of Lassa fever employing a collection of ordinary differential equations with nonlinear solutions to identify the influence of propagation processes on infected development in individuals and rodents, which include channels that are commonly overlooked, such as ecological emergent and aerosol pathways. The findings shed light on the role of both immediate and subsequent infectiousness via the power law, exponential decay and generalized Mittag-Leffler kernels. The scenario involves the presence of a steady state and an endemic equilibrium regardless of the fundamental reproduction number, R-0 < 1 , making Lassa fever influence challenging and dependent on the severity of the initial sub-populations. Meanwhile, we demonstrate that the stochastic structure has an exclusive global positive solution via a positive starting point. The stochastic Lyapunov candidate approach is subsequently employed to determine sufficient requirements for the existence and uniqueness of an ergodic stationary distribution of non-negative stochastic simulation approaches. We acquire the particular configuration of the random perturbation associated with the model's equilibrium R-0(s) < 1 according to identical environments as the presence of a stationary distribution. Ultimately, modeling techniques are used to verify the mathematical conclusions. Our fractional and stochastic findings exhibit that when all modes of transmission are included, the impact of Lassa fever disease increases. The majority of single dissemination pathways are less detrimental with fractional findings; however, when combined with additional spread pathways, they boost the Lassa fever stress.Öğe Optimal variational iteration method for parametric boundary value problem(Amer Inst Mathematical Sciences-Aims, 2022) Ain, Qura Tul; Nadeem, Muhammad; Karim, Shazia; Akguel, Ali; Jarad, FahdMathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for a special fourth-order ordinary initial value problem. Many researchers have discussed the problem involving a parameter c. We solve the parametric boundary value problem that can't be addressed using conventional analytical methods for greater values of c using a new method and a convergence control parameter h. We achieve a convergent solution no matter how huge c is. For the approximation of the convergence control parameter h, two strategies have been discussed. The advantages of one technique over another have been demonstrated. Optimal variational iteration method can be seen as an effective technique to solve parametric boundary value problem.
