Results 41 to 50 of about 281 (135)

On circle map coupled map lattice

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2887-2896, 2003., 2003
The circle map in one and two dimensions is studied. Both its stability and synchronization, using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay effects are not negligible.
E. Ahmed, A. S. Hegazi
wiley   +1 more source

Thermo‐Environmental Modeling of Cholera Dynamics: Integrating Temperature‐Dependent Transmission and Exergy Analysis for System Stability

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
As global climate anomalies alter aquatic ecosystems, traditional epidemiological models frequently overlook the fundamental thermodynamic laws governing environmental pathogen reservoirs. This study bridges that critical gap by introducing a novel thermo‐environmental modeling framework that couples the transmission dynamics of water‐borne cholera ...
Berhe N. Kahsay, Teklebrhan B. Abraha, Oluwole D. Makinde, Shikha Binwal   +3 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

Memory Effect on COVID‐19 Vaccination Dynamics: Fractional‐Order Modeling Approach

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Accurate estimates of vaccine effectiveness are essential for designing effective COVID‐19 vaccination strategies. Memory effects play a critical role in both the development and waning of vaccine‐induced immunity. In this study, we develop a fractional‐order COVID‐19 transmission model using Caputo fractional derivatives to capture the memory ...
Samir Kumar Bhowmik, Doli Rani Pal, Arifa Sultana Mohua, Amit Kumar Saha, Rubayyi T. Alqahtani, Naveen K. Vaidya, Huaiqin Wu   +6 more
wiley   +1 more source

Explicit Solutions for Recursive Integro‐Difference Equations With Applications in Spatial Ecology

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a detailed analysis and derives closed‐form solutions for sequences of functions defined by recursive integro‐difference equations. These equations are fundamental to modeling systems in spatial ecology, such as population spread, gene flow, and biological control, where discrete‐time dynamics interact with continuous spatial ...
Hailu Bikila Yadeta, John Venetis
wiley   +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

Global properties of virus dynamics with B-cell impairment

Open Mathematics, 2019
In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M., Alshehaiween Safiya F., Hobiny Aatef D.   +2 more
doaj   +1 more source

An Efficient Numerical Study of Measles Transmission Dynamics With Time Delay

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Measles is a highly contagious viral disease that remains a public‐health concern in populations with suboptimal vaccination coverage. In this study, a delayed SEIR‐type epidemic model is formulated to investigate measles transmission dynamics, where the latent period is incorporated through a discrete time delay.
Ali Raza, Mansoor Alsulami, Faridah Alruwaili, Smritijit Sen   +3 more
wiley   +1 more source

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

Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya, Hasan Gündüz, Mesut Karabacak, Ercan Çelik, Rigoberto Medina   +4 more
wiley   +1 more source