Results 21 to 30 of about 112 (106)

Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness

Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003
We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina, Wassim M. Haddad   +1 more
wiley   +1 more source

Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge

Open Mathematics, 2019
In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang, Li Zhong, Zhu Zhenliang, Chen Fengde   +3 more
doaj   +1 more source

Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

Open Mathematics, 2016
This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances.
Sun Chao, Wang Fuli, He Xiqin
doaj   +1 more source

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

Discrete 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, Mouhamadou A. M. T. Balde, Babacar M. Ndiaye, Ahmed Ezzat Matouk   +3 more
wiley   +1 more source

Analysis of a fractional-order model for acute and chronic hepatitis-B transmission with Mittag-Leffler kernels

Computational and Mathematical Biophysics
This study explores the dynamic characteristics of a fractional-order model for the hepatitis B virus (HBV) epidemic. We present the existence, uniqueness, and Ulam-Hyers stability of solutions for a fractional-order HBV model utilizing the Atangana ...
Wiah Eric Neebo, Crankson Monica Veronica, Addor John Awuah, Moore Stephen Edward   +3 more
doaj   +1 more source

Global properties of virus dynamics with B-cell impairment

Open 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., Alshehaiween Safiya F., Hobiny Aatef D.   +2 more
doaj   +1 more source

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

Computational 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, Verma Vinay, Pathak Rachana, Agarwal Manju, Naresh Ram   +4 more
doaj   +1 more source

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

Open 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, Canul-Pech Abraham, Rivero-Esquivel Erika   +2 more
doaj   +1 more source

Stability property of the prey free equilibrium point

Open 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

Computational 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, Ratnam K. Venkata, Shirisha G.   +2 more
doaj   +1 more source