Results 31 to 40 of about 267 (131)

Effects of behaviour change on HFMD transmission

Journal of Biological Dynamics, 2023
We propose a hand, foot and mouth disease (HFMD) transmission model for children with behaviour change and imperfect quarantine. The symptomatic and quarantined states obey constant behaviour change while others follow variable behaviour change depending
Tongrui Zhang, Zhijie Zhang, Zhiyuan Yu, Qimin Huang, Daozhou Gao   +4 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

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

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

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

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, Hathout, Fatima Zohra   +1 more
core   +2 more sources

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 Optimal Control Study for a Two‐Strain SEIR Epidemic Model With Saturated Incidence Rates and Treatment

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This work will study an optimal control problem describing the two‐strain SEIR epidemic model. The model studied is in the form of six nonlinear differential equations illustrating the dynamics of the susceptible and the exposed, the infected, and the recovered individuals.
Karam Allali, Mouhamadou A. M. T. Balde, Babacar M. Ndiaye, Ahmed Ezzat Matouk   +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

Mathematical Analysis of a Resource‐Based Dispersal Model With Gompertz Growth and Optimal Harvesting

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman, Sayeda Irin Akter, Kamrun Nahar Keya, Md. Haider Ali Biswas, Md. Rafiul Islam, K. M. Ariful Kabir, Sining Zheng   +6 more
wiley   +1 more source