Results 31 to 40 of about 255 (125)

On variable-order hybrid FracInt Covid-19 mathematical model: optimal control approach

Arab Journal of Basic and Applied Sciences, 2023
An optimal control problem for the variable-order fractional-integer mathematical model of vaccination Covid 19 is presented in this research, where the order of the derivatives varies during the course of the time interval, becoming fractional or ...
R. G. Salama, S. M. AL-Mekhlafi, A. A. Ramadan, N. H. Sweilam   +3 more
doaj   +1 more source

Dynamical, Stability, and Bifurcation of a Viral Model With General Cell‐to‐Cell Incidence Rate and Delayed Saturated CTL Immunity

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we propose a viral model with cell‐to‐cell propagation, delayed saturated CTL immunity, and general incidence rate. Two biological threshold parameters, namely, the basic reproductive number R0 and the CTL immune reproductive number R1, are derived.
Mouhcine Naim, May M. Helal, Rasha M. Yaseen, Ahmed A. Mohsen, Theodore Simos   +4 more
wiley   +1 more source

A Fractional Order Model for HIV/AIDS With Treatment and Optimal Control Using Caputo Derivative

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we are concerned with a deterministic Caputo fractional derivative mathematical model of HIV/AIDS with treatment and optimal control. We formulate a mathematical model that contains six compartments (including primary infection and treatment) and show that the model is well‐posed. We calculate the reproduction number and free and endemic
Abdul-Aziz Hussein, Benyam Mebrate, Kareem Elgindy   +2 more
wiley   +1 more source

Modeling of the switching effect on two prey and one predator with the presence of Allee effects and refuge

Computational and Mathematical Biophysics
To examine the dynamics of a predator’s interaction with two prey species, this study develops a comprehensive mathematical model that accounts for ecological complexities, including the Allee effect, prey switching behavior, and prey refuge.
Kadhim Atheer Jawad, Elobaid Rafida M., Al-Saidi Nadia M. G., Jaber Ahamed Shawki   +3 more
doaj   +1 more source

Analysis of a fractional-order model for acute and chronic hepatitis-B transmission with Mittag-Leffler kernels

Computational and Mathematical Biophysics
This study explores the dynamic characteristics of a fractional-order model for the hepatitis B virus (HBV) epidemic. We present the existence, uniqueness, and Ulam-Hyers stability of solutions for a fractional-order HBV model utilizing the Atangana ...
Wiah Eric Neebo, Crankson Monica Veronica, Addor John Awuah, Moore Stephen Edward   +3 more
doaj   +1 more source

Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion

Results in Physics, 2018
It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo, Yazir Khan, Stella Mugisha   +2 more
doaj   +1 more source

Mathematical modeling, analysis and Markov Chain Monte Carlo simulation of Ebola epidemics

Results in Physics, 2017
Ebola virus infection is a severe infectious disease with the highest case fatality rate which become the global public health treat now. What makes the disease the worst of all is no specific effective treatment available, its dynamics is not much ...
Thomas Wetere Tulu, Boping Tian, Zunyou Wu   +2 more
doaj   +1 more source

Dynamic ecological system measures

Results in Applied Mathematics, 2019
The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article.
Huseyin Coskun
doaj   +1 more source

Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

Open Mathematics
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj   +1 more source

Plankton interaction model: Effect of prey refuge and harvesting

Computational and Mathematical Biophysics
Harmful algal blooms are one of the major threats to aquatic ecosystem. Some phytoplankton species produce toxins during algal bloom and affect other aquatic species as well as human beings.
Basak Poulomi, Tiwari Satish Kumar, Tripathi Jai Prakash, Tiwari Vandana, Mishra Ratnesh Kumar   +4 more
doaj   +1 more source