Results 41 to 50 of about 136 (124)

On a predator-prey system interaction under fluctuating water level with nonselective harvesting

open access: yesOpen Mathematics, 2020
A predator-prey model interaction under fluctuating water level with non-selective harvesting is proposed and studied in this paper. Sufficient conditions for the permanence of two populations and the extinction of predator population are provided.
Zhang Na   +4 more
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

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

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

open access: yes, 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

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

Globally asymptotical stability on delay reaction–diffusion equation involving nonlinear density-dependent mortality

open access: yesAdvances in Nonlinear Analysis
In this paper, we study a class of delay reaction–diffusion equations (DRDEs), including the modified Nicholson’s blowflies model with nonlinear density-dependent mortality.
Huang Chuangxia   +2 more
doaj   +1 more source

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

open access: yes, 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  

Optimal control and stability analysis of a date palm borer model with natural enemies and light traps effects

open access: yesResults in Applied Mathematics
This study presents a deterministic mathematical model that analyzes the population dynamics of date palm trees and the date palm borer. The model incorporates both physical controls (light traps) and biological controls (entomopathogenic nematodes). The
Zahra M. Albariqi   +2 more
doaj   +1 more source

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