Results 31 to 40 of about 123 (115)

Global properties of virus dynamics with B-cell impairment

open access: yesOpen Mathematics, 2019
In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M.   +2 more
doaj   +1 more source

An Optimal Control Study for a Two‐Strain SEIR Epidemic Model With Saturated Incidence Rates and Treatment

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This work will study an optimal control problem describing the two‐strain SEIR epidemic model. The model studied is in the form of six nonlinear differential equations illustrating the dynamics of the susceptible and the exposed, the infected, and the recovered individuals.
Karam Allali   +3 more
wiley   +1 more source

Influence of media campaigns efforts to control spread of COVID-19 pandemic with vaccination: A modeling study

open access: yesComputational and Mathematical Biophysics
The outbreak of coronavirus disease 2019 (COVID-19) has been declared a pandemic by the world health organization on March 11, 2020,. Here, a nonlinear mathematical model is proposed and analyzed to study the spread of coronavirus disease in a human ...
Verma Sandhya Rani   +4 more
doaj   +1 more source

Global stability of a distributed delayed viral model with general incidence rate

open access: yesOpen Mathematics, 2018
In this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria.
Ávila-Vales Eric   +2 more
doaj   +1 more source

STABILITY ANALYSIS OF AN SIR EPIDEMIC MODEL WITH SPECIFIC NONLINER INCIDENCE RATE [PDF]

open access: yes, 2016
We study an SIR epidemic model with a specific non linear incidence rate function. The stability of the disease-free equilibrium and the endemic equilibrium are found and an appropriate Dulac function was constructed for investigating the global ...
Agrawal, Ankit
core   +1 more source

Stability property of the prey free equilibrium point

open access: yesOpen Mathematics, 2019
We revisit a prey-predator model with stage structure for predator, which was proposed by Tapan Kumar Kar. By using the differential inequality theory and the comparison theorem of the differential equation, we show that the prey free equilibrium is ...
Yue Qin
doaj   +1 more source

Mathematical model on influence of past experiences on present activities of human brain

open access: yesComputational and Mathematical Biophysics
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara   +2 more
doaj   +1 more source

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

Optimal control and bifurcation analysis of SEIHR model for COVID-19 with vaccination strategies and mask efficiency

open access: yesComputational and Mathematical Biophysics
In this article, we present a susceptible, exposed, infected, hospitalized and recovered compartmental model for COVID-19 with vaccination strategies and mask efficiency. Initially, we established the positivity and boundedness of the solutions to ensure
Muthu Poosan Moopanar   +1 more
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

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