Djilali, Salih Ghanbari, Behzad
Published in
Advances in Difference Equations
In this research, we discuss the influence of an infectious disease in the evolution of ecological species. A computational predator-prey model of fractional order is considered. Also, we assume that there is a non-fatal infectious disease developed in the prey population. Indeed, it is considered that the predators have a cooperative hunting. This...
Ibrahim, Rabha W. Altulea, Dania Elobaid, Rafida M.
Published in
Advances in Difference Equations
Recently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contain...
Cahoy, Dexter O. Polito, Federico
Published in
Journal of Statistical Physics
The classical binomial process has been studied by Jakeman (J. Phys. A 23:2815–2825, 1990) (and the references therein) and has been used to characterize a series of radiation states in quantum optics. In particular, he studied a classical birth-death process where the chance of birth is proportional to the difference between a larger fixed number ...
Owusu-Mensah, Isaac Akinyemi, Lanre Oduro, Bismark Iyiola, Olaniyi S.
Published in
Advances in Difference Equations
The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed globally; the disease has become an unprecedented threat to public health worldwide. It is one of the greatest public health challenges in modern times, with no proven cure or vaccine. In this paper, our focus is on a fractional order approach to modeling and simu...
Valentim, Carlos A Rabi, José A David, Sergio A Tenreiro Machado, José A
Published in
Bio Systems
Fractional mathematical oncology is a research topic that applies non-integer order calculus to tackle cancer problems such as tumor growth analysis or its optimal treatment. This work proposes a multistep exponential model with a fractional variable-order representing the evolution history of a tumor. Model parameters are tuned according to variab...
Mohammad, Mutaz Trounev, Alexander
Published in
Advances in Difference Equations
In this work, we propose a framelet method based on B-spline functions for solving nonlinear Volterra–Fredholm integro-differential equations and by involving Atangana–Baleanu fractional derivative, which can provide a reliable numerical approximation. The framelet systems are generated using the set of B-splines with high vanishing moments. We pro...
Zhang, Zizhen Jain, Sonal
Published in
Chaos, solitons, and fractals
Differential operators based on convolution definitions have been recognized as powerful mathematics tools to help model real world problems due to the properties associated to their different kernels. In particular the power law kernel helps include into mathematical formulation the effect of long range, while the exponential decay helps with fadi...
Vanterler, José N., Magun Costa, Edivilson Magna, L. Capelas De Oliveira, E
The main objective of this paper is to discuss a new approach for the validation of the fractional mathematical model that describes the erythrocyte sedimen-tation rate via a Caputo fractional diffusion equation. We discuss the data obtained in the laboratory and plot their respective graphs via the MATLAB 2010.a. Also, we performed an analysis of ...
Zhang, Zizhen
Published in
Chaos, solitons, and fractals
In this paper, we considered a new mathematical model depicting the possibility of spread within a given general population. The model is constructed with five classes including susceptible, exposed, infected, recovered and deaths. We presented a detailed analysis of the suggested model including, the derivation of equilibrium points endemic and di...
Abdel-Aty, Abdel-Haleem Khater, Mostafa M A Dutta, Hemen Bouslimi, Jamel Omri, M
Published in
Chaos, solitons, and fractals
This paper investigates the exact traveling wave solutions of the fractional model of the human immunodeficiency virus (HIV-1) infection for CD4 + T-cells. This model also treats with the effect of antiviral drug therapy. These solutions calculate both the boundary and initial conditions that allow employing the septic-B-spline scheme which is one ...
