Open AccessJournal Article
Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells
TLDR
In this paper, the authors presented a fractional order HIV-1 infection model of CD4+ T-cell and analyzed the effect of the changing the average number of the viral particle N with initial conditions of the presented model.Abstract:
In this article, we present a fractional order HIV-1 infection model of CD4+ T-cell. We analyze the effect of the changing the average number of the viral particle N with initial conditions of the presented model. The Laplace Adomian decomposition method is applying to check the analytical solution of the problem. We obtain the solutions of the fractional order HIV-1 model in the form of infinite series. The concerned series rapidly converges to its exact value. Moreover, we compare our results with the results obtained by Runge-Kutta method in case of integer order derivative.read more
Citations
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A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
TL;DR: In this article, the authors presented a mathematical model for the transmission of COVID-19 by the Caputo fractional-order derivative and calculated the equilibrium points and reproduction number for the model and obtained the region of the feasibility of system.
Journal ArticleDOI
Fractional Order Mathematical Modeling of COVID-19 Transmission.
TL;DR: The mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative and some results regarding the existence of at least one solution through fixed point results are derived.
Journal ArticleDOI
On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative
TL;DR: In this paper, the authors investigated epidemic model of dengue fever disease under Caputo and Fabrizio fractional derivative abbreviated as (CFFD) by using fixed point theory.
Journal ArticleDOI
A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model
TL;DR: In this article, a three-step Adams-Bashforth scheme was used to solve the Rubella disease model with the Caputo-Fabrizio fractional derivative, and the existence and uniqueness of the solution were discussed by employing fixed point theory.
Journal ArticleDOI
SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
TL;DR: To predict the transmission of COVID-19 in Iran and in the world, this work provides a numerical simulation based on real data and proves the existence of a unique solution for the model by using fixed point theory.
References
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Book
Theory and Applications of Fractional Differential Equations
TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Book
Beyond Perturbation: Introduction to the Homotopy Analysis Method
Shijun Liao,SA Sherif +1 more
TL;DR: In this paper, a simple bifurcation of a nonlinear problem multiple solutions of a Nonlinear Problem Nonlinear Eigenvalue Problem Thomas-Fermi Atom Model Volterra's Population Model Free Oscillation Systems with Odd Nonlinearity Free oscillations with Quadratic nonlinearity Limit Cycle in a Multidimensional System Blasius' viscous flow Boundary-layer Flow Boundarylayer Flow with Exponential Property Boundary Layer Flow with Algebraic Property Von Karman Swirling Flow Nonlinear Progressive Waves in Deep Water BIBLIOGR
Journal ArticleDOI
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
TL;DR: In this paper, conditions under which the solutions of asymptotically autonomous differential equations have the same behavior as the solution of the associated limit equations are presented, and it is shown that this does not hold in general.
Journal ArticleDOI
Analysis of a disease transmission model in a population with varying size.
TL;DR: A complete global analysis is given which uses a new result to establish the nonexistence of periodic solutions and three explicit threshold parameters which respectively govern the increase of the total population, the existence and stability of an endemic proportion equilibrium and the growth of the infective population.
Journal ArticleDOI
Drivers for the emergence and re-emergence of vector-borne protozoal and bacterial diseases
Shimon Harrus,Gad Baneth +1 more
TL;DR: A coordinated global approach for the prevention of vector-borne diseases should be implemented by international organizations and governmental agencies in collaboration with research institutions.
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