Results 51 to 60 of about 849 (135)

An Energetic Variational Approach for ion transport

open access: yes, 2014
The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-Navier-Stokes system.
Liu, Chun, Sheng, Ping, Xu, Shixin
core   +2 more sources

The Impact of Intervention Strategies on the Dissemination of Monkeypox Utilizing Fractional Differential Equations

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we develop a compartmental mathematical model to offer a thorough understanding of the dynamics of monkeypox viral transmission. We examine the sensitivity of the epidemic model to the fundamental reproduction number (R0). We also utilize an expanded Euler technique to scrutinize the dynamics of monkeypox transmission between humans and ...
M. Manivel   +3 more
wiley   +1 more source

Stability of a secondary dengue viral infection model with multi-target cells

open access: yesAlexandria Engineering Journal, 2022
Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh   +2 more
doaj   +1 more source

Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models [PDF]

open access: yes, 2008
We study the growth rate of a cell population that follows an age-structured PDE with time-periodic coefficients. Our motivation comes from the comparison between experimental tumor growth curves in mice endowed with intact or disrupted circadian clocks,
Arino   +12 more
core   +6 more sources

On Linearizing Systems of Diffusion Equations [PDF]

open access: yes, 2006
We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized.
Sophocleous, Christodoulos   +1 more
core   +4 more sources

Variational multiscale stabilized FEM for cardiovascular flows in complex arterial vessels under magnetic forces

open access: yesComputational and Mathematical Biophysics
In this study, we present a variational multiscale stabilized finite element method for steady-state incompressible fluid flow under magnetic forces. In particular, an algebraic approach of approximating the subscales has been considered, and then, the ...
Sahoo Dipak Kumar   +2 more
doaj   +1 more source

Models of kleptoparasitism on networks: the effect of population structure on food stealing behaviour [PDF]

open access: yes, 2017
The behaviour of populations consisting of animals that interact with each other for their survival and reproduction is usually investigated assuming homogeneity amongst the animals. However, real populations are non-homogeneous.
Broom, M   +2 more
core   +3 more sources

The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions

open access: yes, 2011
We study the multidimensional aggregation equation $u_t+\Div(uv)=0$, $v=-\nabla K*u$ with initial data in $\cP_2(\bR^d)\cap L_{p}(\bR^d)$. We prove that with biological relevant potential $K(x)=|x|$, the equation is ill-posed in the critical Lebesgue ...
Dong, Hongjie
core   +2 more sources

Global periodic solutions in a plankton-fish interaction model with toxication delay

open access: yesNonlinear Engineering, 2018
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
doaj   +1 more source

On some Free Boundary Problems of the Prey-predator Model [PDF]

open access: yes, 2014
In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free ...
Wang, Mingxin
core   +1 more source

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