Results 51 to 60 of about 281 (135)

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   +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

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

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

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

MATHEMATICAL MODELING FOR TUMOR-IMMUNE INTERACTION

, 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, Setiawan Nugraha, Edwin, Kartono, Agus   +2 more
core  

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

A muscle crossbridge theory with internal crossbridge dynamics

Computational 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