Results 31 to 40 of about 274 (127)

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

open access: yesArab 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   +3 more
doaj   +1 more source

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

open access: yesComputational 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   +3 more
doaj   +1 more source

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

open access: yesComputational 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   +3 more
doaj   +1 more source

The Impact of Imperfect Vaccination on Infectious Disease Transmission in an Age-Structured Population [PDF]

open access: yes
In this paper, we consider the influence of imperfect vaccination on the spread of infectious diseases in an age-structured population. The benefits of vaccination, even if not perfect, generally outweigh the risks of severe diseases.
Touaoula, Tarik Mohammed   +1 more
core   +1 more source

Dynamic ecological system measures

open access: yesResults 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 access: yesOpen 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

MATHEMATICAL MODELING FOR TUMOR-IMMUNE INTERACTION

open access: yes, 2010
We Propose a mathematical model in the from a system of ordinary differential equations in the presence of immunotherapy treatment. The model describes the effect of tumor infiltrating lymphocytes (TIL), interleukin-2 (IL-2) and interferon alpha (INF-a ...
Mamat, Mustafa   +2 more
core  

Plankton interaction model: Effect of prey refuge and harvesting

open access: yesComputational 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   +4 more
doaj   +1 more source

A muscle crossbridge theory with internal crossbridge dynamics

open access: yesComputational and Mathematical Biophysics
We develop a crossbridge model in which an attached crossbridge behaves like a linear spring with a variable rest length. We assume in particular that the rest length has a linear force–velocity relation, and that the force and rest length are both zero ...
Hua Mengjian, Peskin Charles S.
doaj   +1 more source

Analysis of backward bifurcation induced by nonlinear vertical transmission in COVID-19 dynamics with optimal control

open access: yesComputational and Mathematical Biophysics
A mathematical model is designed to investigate transmission dynamics of COVID-19 in a setting where both horizontal and vertical transmission of COVID-19 occur concurrently.
Wangari Isaac Mwangi   +5 more
doaj   +1 more source

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