Results 61 to 70 of about 873 (150)

Khalouta transform and applications to Caputo-fractional differential equations

Frontiers in Applied Mathematics and Statistics
The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative.
Nikita Kumawat, Akanksha Shukla, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
doaj   +1 more source

Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates

, 2007
We investigate further the existence of solutions to kinetic models of chemotaxis. These are nonlinear transport-scattering equations with a quadratic nonlinearity which have been used to describe the motion of bacteria since the 80's when experimental ...
Bournaveas, Nikolaos, Calvez, Vincent, Gutiérrez, Susana, Perthame, Benoît   +3 more
core   +1 more source

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

Computational 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, Rathi Anil, Kumar B. V. Rathish   +2 more
doaj   +1 more source

Differential equations of electrodiffusion: constant field solutions, uniqueness, and new formulas of Goldman-Hodgkin-Katz type

, 2016
The equations governing one-dimensional, steady-state electrodiffusion are considered when there are arbitrarily many mobile ionic species present, in any number of valence classes, possibly also with a uniform distribution of fixed charges.
Bass, L., Bracken, A. J.
core   +1 more source

Global stability analysis and control of leptospirosis

Open Mathematics, 2016
The aim of this paper is to investigate the effectiveness and cost-effectiveness of leptospirosis control measures, preventive vaccination and treatment of infective humans that may curtail the disease transmission. For this, a mathematical model for the
Okosun Kazeem Oare, Mukamuri M., Makinde Daniel Oluwole   +2 more
doaj   +1 more source

Time-scale analysis non-local diffusion systems, applied to disease models

, 2020
The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and non-local ...
Oliva, Sergio, Pereira, Marcone C., Sartori, Larissa M.   +2 more
core  

On a Cahn--Hilliard--Darcy system for tumour growth with solution dependent source terms

, 2018
We study the existence of weak solutions to a mixture model for tumour growth that consists of a Cahn--Hilliard--Darcy system coupled with an elliptic reaction-diffusion equation.
A Hawkins-Daarud, E DiBenedetto, H Garcke, H Garcke, H Garcke, H Garcke, J Jiang, J Simon, JS Lowengrub, JT Oden, M Dai, P Colli, S Bosia, S Frigeri, V Cristini, V Cristini, X Feng, X Wang, X Wang, Y Chen, Z Chen   +20 more
core   +1 more source

The role of prostitution on HIV transmission with memory: A modeling approach

Alexandria Engineering Journal, 2020
HIV is a topic that has been greatly discussed and researched due to its impact on human population. Many campaigns have been put into place, and people have been made aware of the various effects of the disease.
Parvaiz Ahmad Naik, Mehmet Yavuz, Jian Zu   +2 more
doaj   +1 more source

The Performance of Discrete Models of Low Reynolds Number Swimmers

, 2015
Swimming by shape changes at low Reynolds number is widely used in biology and understanding how the efficiency of movement depends on the geometric pattern of shape changes is important to understand swimming of microorganisms and in designing low ...
Othmer, Hans G., Wang, Qixuan
core   +1 more source

A mathematical study of the adrenocorticotropic hormone as a regulator of human gene expression in adrenal glands

Computational and Mathematical Biophysics
In this research, we have introduced compartments for asymptomatic and symptomatic individuals, along with reduced susceptibility, as key factors defining our investigation.
Manickam A., Jaison A. Benevatho, Lakshmi D., Singh Ram, Pravina C. T. Dora   +4 more
doaj   +1 more source