Results 41 to 50 of about 123 (115)

Multiple time scales method for a two dimensional system with distributed delays

Annals of the West University of Timisoara: Mathematics and Computer Science
Building on the simplified mathematical model derived from the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis, which describes the interactions between ACTH and cortisol through a system of differential equations with distributed delays, this ...
Matei Maria Roxana
doaj   +1 more source

© Hindawi Publishing Corp. ON STABILITY AND BIFURCATION OF SOLUTIONS OF AN SEIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION

, 2003
A four-dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced threedimensional epidemic model.
M. M. A. El-sheikh, S. A. A. El-marouf
core  

Study of transmission pattern of COVID-19 among cardiac and noncardiac population using a nonlinear mathematical model

Computational and Mathematical Biophysics
Recent studies have intensified the risk of post-COVID-19 cardiovascular diseases. In an effort to understand the intricate dynamics of COVID-19 infection, this article suggests a four-compartment model to portray the dynamic interplay between the ...
Shirisha Gopishetty, Vernekar Saroj
doaj   +1 more source

Role of limited medical resources in an epidemic model with media report and general birth rate

Infectious Disease Modelling
This 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
doaj   +1 more source

Metapopulation Dynamics with Migration and Local Competition

, 2002
MSC2000: primary 34D15, 34D23, 92B05; secondary 34K60, 34E13, 92D40.Many patch-based metapopulation models assume that the local population within each patch is at its equilibrium and independent of changes in patch occupancy.
Feng, Zhilan, Zhu, Huaiping, Yi, Yingfei
core  

Analysis of backward bifurcation induced by nonlinear vertical transmission in COVID-19 dynamics with optimal control

Computational and Mathematical Biophysics
A 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, Lebelo Ramoshweu S., Sangotola Adekunle O., Chuma Furaha M., Olaniyi Samson, Simiyu Hanningtone Meshack   +5 more
doaj   +1 more source

A class of diffusive delayed viral infection models with general incidence function and cellular proliferation. [PDF]

Arab J Math, 2023
Nangue A, Tacteu Fokam WA.
europepmc   +1 more source

Dynamics of a diffusive HTLV and HIV coinfection model with macrophages, latent cells and two delays

Journal of Biological Dynamics
Human T-lymphotropic virus (HTLV) and human immunodeficiency virus (HIV) are two retroviruses that pose a certain threat to human psychology and physiology. In this paper, we propose a diffusive HTLV and HIV coinfection model with macrophages, two delays,
Hui Miao, Xiaomei Feng
doaj   +1 more source

© Hindawi Publishing Corp. AN EQUIVALENCE THEOREM CONCERNING POPULATION GROWTH IN A VARIABLE ENVIRONMENT

, 2002
We give conditions under which two solutionsx andy of the Kolmogorov equation x ̇ = xf(t,x) satisfy limy(t)/x(t) = 1 as t →∞. This conclusion is important for two reasons: it shows that the long-time behavior of the population is independent of the ...
Ray Redheffer, Richard R. Vance
core  

Modelling measles transmission dynamics and the impact of control strategies on outbreak Management

Journal of Biological Dynamics
Measles is a highly contagious and potentially fatal disease, despite the availability of effective immunizations. This study formulates a deterministic mathematical model to investigate the transmission dynamics of measles, with eight compartments ...
Olumuyiwa James Peter
doaj   +1 more source