scholarly journals Numerical and theoretical analysis of Rabies model under the harmonic mean type incidence rate

2021 ◽  
Vol 29 ◽  
pp. 104652
Author(s):  
Amir Khan ◽  
Rahat Zarin ◽  
Iftikhar Ahmed ◽  
Abdullahi Yusuf ◽  
Usa Wannasingha Humphries
Keyword(s):  
Theoretical Analysis ◽  
Incidence Rate ◽  
Harmonic Mean

scholarly journals Stability analysis of leishmania epidemic model with harmonic mean type incidence rate

2020 ◽  
Vol 135 (6) ◽  
Author(s):  
Amir Khan ◽  
Rahat Zarin ◽  
Mustafa Inc ◽  
Gul Zaman ◽  
Bandar Almohsen
Keyword(s):  
Stability Analysis ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Harmonic Mean

scholarly journals Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 693-709
Author(s):  
Sowwanee Jitsinchayakul ◽  
Rahat Zarin ◽  
Amir Khan ◽  
Abdullahi Yusuf ◽  
Gul Zaman ◽  
...  
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Fixed Point Theory ◽  
Numerical Approach ◽  
Harmonic Mean ◽  
Basic Reproductive Number ◽  
World Health ◽  
Reproductive Number ◽  
Theory Approach ◽  
Fractional Modeling

Abstract Coronavirus disease 2019 (COVID-19) is a disease caused by severe acute respiratory syndrome coronavirus 2 (SARS CoV-2). It was declared on March 11, 2020, by the World Health Organization as a pandemic disease. Regrettably, the spread of the virus and mortality due to COVID-19 have continued to increase daily. The study is performed using the Atangana–Baleanu–Caputo operator with a harmonic mean type incidence rate. The existence and uniqueness of the solutions of the fractional COVID-19 epidemic model have been developed using the fixed point theory approach. Along with stability analysis, all the basic properties of the given model are studied. To highlight the most sensitive parameter corresponding to the basic reproductive number, sensitivity analysis is taken into account. Simulations are conducted using the first-order convergent numerical approach to determine how parameter changes influence the system’s dynamic behavior.

scholarly journals On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Yan Zhang ◽  
Shujing Gao ◽  
Kuangang Fan
Keyword(s):  
Lyapunov Function ◽  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Incidence Rate ◽  
Functional Response ◽  
Global Attractivity ◽  
Migratory Birds ◽  
Sufficient Conditions ◽  
Predator Prey ◽  
Predator Prey Model

The dynamic behaviors of a nonautonomous system for migratory birds with Hassell-Varley type functional response and the saturation incidence rate are studied. Under quite weak assumptions, some sufficient conditions are obtained for the permanence and extinction of the disease. Moreover, the global attractivity of the model is discussed by constructing a Lyapunov function. Numerical simulations which support our theoretical analysis are also given.

scholarly journals Study of a Fractal-Fractional Smoking Models with Relapse and Harmonic Mean Type Incidence Rate

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Zareen A. Khan ◽  
Mati ur Rahman ◽  
Kamal Shah
Keyword(s):  
Fixed Point ◽  
Fractal Dimension ◽  
Incidence Rate ◽  
Fractional Order ◽  
Caputo Derivative ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Harmonic Mean ◽  
The Stability ◽  
Fractional Orders

This manuscript investigates fractal-fractional order smoking models with relapse and harmonic mean type incidence rate under the Caputo derivative. We derive the existence and unique results about the solution for the considered model via fixed point theory. For the stability of the considered system, Ulam-Hyers (UH) approach is used. We compute the numerical solution by using fractional Adams-Bashforth method. For the simulation of the model, we consider different values of fractional order δ and fractal dimension θ by using some real values of the parameters. The proposed scheme is used to simulate the available data for some smoking community including potential, light, and quit smokers. Various graphical presentations are given to understand the dynamics of the model at various fractional orders.

Microdiffraction Patterns of Small Metallic Particles II; Theoretical Analysis

1982 ◽  
Vol 40 ◽  
pp. 668-669
Author(s):  
A. Gómez ◽  
P. Schabes-Retchkiman ◽  
M. José-Yacamán ◽  
T. Ocaña
Keyword(s):  
Experimental Data ◽  
Electron Diffraction ◽  
Theoretical Analysis ◽  
Size Range ◽  
Dynamical Theory ◽  
Metallic Particles ◽  
Splitting Effect

The splitting effect that is observed in microdiffraction pat-terns of small metallic particles in the size range 50-500 Å can be understood using the dynamical theory of electron diffraction for the case of a crystal containing a finite wedge. For the experimental data we refer to part I of this work in these proceedings.

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