Showing papers by "Doddabhadrappla Gowda Prakasha published in 2021"

Dynamics of a fractional epidemiological model with disease infection in both the populations.

Abstract: In order to depict a situation of possible spread of infection from prey to predator, a fractional-order model is developed and its dynamics is surveyed in terms of boundedness, uniqueness, and existence of the solutions. We introduce several threshold parameters to analyze various points of equilibrium of the projected model, and in terms of these threshold parameters, we have derived some conditions for the stability of these equilibrium points. Global stability of axial, predator-extinct, and disease-free equilibrium points are investigated. Novelty of this model is that fractional derivative is incorporated in a system where susceptible predators get the infection from preys while predating as well as from infected predators and both infected preys and predators do not reproduce. The occurrences of transcritical bifurcation for the proposed model are investigated. By finding the basic reproduction number, we have investigated whether the disease will become prevalent in the environment. We have shown that the predation of more number of diseased preys allows us to eliminate the disease from the environment, otherwise the disease would have remained endemic within the prey population. We notice that the fractional-order derivative has a balancing impact and it assists in administering the co-existence among susceptible prey, infected prey, susceptible predator, and infected predator populations. Numerical computations are conducted to strengthen the theoretical findings.

Computational Investigation of Stefan Blowing Effect on Flow of Second-Grade Fluid Over a Curved Stretching Sheet

Abstract: Non-Newtonian fluids have extensive range of applications in the field of industries like plastics processing, manufacturing of electronic devices, lubrication flows, medicine and medical equipment. Stimulated from these applications, a theoretical analysis is carried out to scrutinize the flow of a second-grade liquid over a curved stretching sheet with the impact of Stefan blowing condition, thermophoresis and Brownian motion. The modelled governing equations for momentum, thermal and concentration are deduced to a system of ordinary differential equations by introducing suitable similarity transformations. These reduced equations are solved using Runge–Kutta–Fehlberg fourth fifth order method (RKF-45) by adopting shooting technique. The solutions for the flow, heat and mass transference features are found numerically and presented with the help of graphical illustrations. Results reveal that, curvature and Stefan blowing parameters have propensity to rise the heat transfer. Further, second grade fluid shows high rate of mass and heat transfer features when related to Newtonian fluid for upsurge in values of Brownian motion parameter.

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

Abstract: In this paper, we find the solution for fractional coupled system arisen in magnetothermoelasticity with rotation using q-homotopy analysis transform method (q-HATM). The proposed technique is graceful amalgamations of Laplace transform technique with q-homotopy analysis scheme, and fractional derivative defined with Mittag–Leffler kernel. The fixed point hypothesis is considered to demonstrate the existence and uniqueness of the obtained solution for the proposed fractional order model. To illustrate the efficiency of the future technique, we analyzed the projected model in terms of fractional order. Moreover, the physical behavior of q-HATM solutions has been captured in terms of plots for different arbitrary order. The attained consequences confirm that the considered algorithm is highly methodical, accurate, very effective, and easy to implement while examining the nature of fractional nonlinear differential equations arisen in the connected areas of science and engineering.

New dynamical behaviour of the coronavirus (2019-ncov) infection system with non-local operator from reservoirs to people

Abstract: The mathematical accepts while analysing the evolution of real word problems magnetizes the attention of many scholars. In this connection, we analysed and find the solution for nonlinear system exemplifying the most dangerous and deadly virus called coronavirus. The six ordinary differential equations of fractional order nurtured the projected mathematical model and they are analysed using q-homotopy analysis transform method (q-HATM). Further, most considered fractional operator is applied to study and capture the more corresponding consequences of the system, known as Caputo operator. For different fractional order, the natures of the achieved results are illustrated in plots. Lastly, the present investigation may aid us analyse the distinct and diverse classes of models exemplifying real-world problems and helps to envisage their corresponding nature with parameters associated with the models. © 2021 NSP Natural Sciences Publishing Cor.

Evaluation of heat and mass transfer in ferromagnetic fluid flow over a stretching sheet with combined effects of thermophoretic particle deposition and magnetic dipole

Abstract: The features of ferromagnetic fluids make it supportive for an extensive range of usages in directing magnetic drugs and magnetic hyperthermia. Owing to all such potential applications, the current...

Solution for Fractional Kuramoto–Sivashinsky Equation Using Novel Computational Technique

Abstract: In this paper, we analyse the nonlinear model describing the different physical and chemical phenomena, namely Kuramoto–Sivashinsky equation. For the fractional KS (FKS) equation the approximated analytical solution is obtained with the help of the q-homotopy analysis transform method (q-HATM). The projected technique is a mixture of Laplace transform and homotopy analysis method. The considered technique offers ℏ-curves that show convergence range of the obtained series solution. To confirm the efficiency and applicability of the projected scheme, we consider four distinct examples. The numerical study is conducted to authorize the accuracy and reliability of the considered method. Further, natures of the achieved results have been presented for different order. The obtained solution illuminates that, the projected algorithm is very effective and easy to implement to examine the behaviour nonlinear models exist in science and technology.

A Novel Approach for Fractional $$(1+1)$$ ( 1 + 1 ) -Dimensional Biswas–Milovic Equation

Abstract: In this paper, we find the solution for $$(1+1)$$ -dimensional fractional Biswas-Milovic (FBM) equation using the $$q$$ -homotopy analysis transform method ( $$q$$ -HATM). The Biswas-Milovic equation is a generalization of the nonlinear Schrodinger (NLS) equation. The future scheme is the elegant mixture of $$q$$ -homotopy analysis scheme with Laplace transform technique and fractional derivative considered in Caputo sense. To validate and illustrate the competence of the method, we examine the projected model in terms of arbitrary order. Moreover, the nature of the attained results have been presented in 3D plots and contour plots for different value of the order. The gained consequences show that, the hired algorithm is highly accurate, easy to implement, and very operative to investigate the nature of complex nonlinear models ascended in science and engineering.

*-Conformal η-Ricci Solitons on α-Cosymplectic Manifolds

Abstract: The object of this paper is to study *-conformal η-Ricci solitons on α-cosymplectic manifolds. First, α-cosymplectic manifolds admitting *-conformal η-Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied. Further, α-cosymplectic manifolds admitting *-conformal η-Ricci solitons satisfying certain conditions on the M-projective curvature tensor are being considered and obtained several interesting results. Among others it is proved that a φ - M-projeectively semisymmetric α-cosymplectic manifold admitting a *-conformal η-Ricci soliton is an Einstein manifold. Finally, the existence of *-conformal η-Ricci soliton in an α-cosymplectic manifolds has been proved by a concrete example.