Results 51 to 60 of about 388 (128)

Lyapunov function for cosmological dynamical system

open access: yesDemonstratio Mathematica, 2017
We prove the asymptotic global stability of the de Sitter solution in the Friedmann-Robertson-Walker conservative and dissipative cosmology. In the proof we construct a Lyapunov function in an exact form and establish its relationship with the first ...
Szydłowski Marek, Krawiec Adam
doaj   +1 more source

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

open access: yesAnnals 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

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

open access: yesComputational 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

open access: yesInfectious 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

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

open access: yesComputational 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   +5 more
doaj   +1 more source

Stability analysis for the phytoplankton-zooplankton model with depletion of dissolved oxygen and strong Allee effects

open access: yesResults in Engineering
The photosynthetic activity of phytoplankton in the seas is responsible for an estimated 50–80 % of the world's oxygen generation. Both phytoplankton and zooplankton require some of this synthesized oxygen for cellular respiration.
Ahmed Ali   +3 more
doaj   +1 more source

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

open access: yesJournal 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

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

open access: yesJournal 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

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