Results 41 to 50 of about 267 (131)
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 +4 more
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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 +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
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Complex dynamics of a nonlinear discrete predator-prey system with Allee effect
Open MathematicsThe 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
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Plankton interaction model: Effect of prey refuge and harvesting
Computational and Mathematical BiophysicsHarmful 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
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A muscle crossbridge theory with internal crossbridge dynamics
Computational and Mathematical BiophysicsWe 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.
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Computational and Mathematical BiophysicsA 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
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Role of limited medical resources in an epidemic model with media report and general birth rate
Infectious Disease ModellingThis paper formulates an SEIRSHM epidemic model with general birth rate, media report and limited medical resources. Firstly, the well-posedness of the solutions and the extinction of the disease are discussed.
Yicheng Hao, Yantao Luo, Zhidong Teng
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Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]
Heliyon, 2023 Akter S, Islam MS, Hossain T.
europepmc +1 more source
Biological and Mechanical Transmission Models of Dengue Fever
Communication in Biomathematical Sciences, 2019 Dengue fever disease is caused by the dengue virus and transmitted primarily by the Aedes aegypti mosquitoes. There is no vaccine available to prevent transmission of the disease until recently which makes 30% of the worlds population is at risk of the ...
Laura Laura +3 more
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