Results 21 to 30 of about 1,113 (163)

TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS

open access: yesInternational Journal of Apllied Mathematics, 2019
We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
semanticscholar   +1 more source

Transmission and epidemiological trends of pine wilt disease: Findings from sensitivity to optimality

open access: yesResults in Physics, 2021
In this work, a deterministic model is dedicatedly studied for the infection mechanism of pine wilt disease subject to varying sensitivity and optimality.
Adnan Aslam   +5 more
doaj  

Dynamic behaviors of a Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species

open access: yesOpen Mathematics, 2019
A Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species is proposed and studied.
Chen Fengde   +3 more
doaj   +1 more source

Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity

open access: yesComputational and Mathematical Biophysics, 2021
A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L.   +5 more
doaj   +1 more source

Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching

open access: yesOpen Mathematics, 2021
The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching.
Zhang Xiaozhi   +2 more
doaj   +1 more source

An in-host model of HIV incorporating latent infection and viral mutation [PDF]

open access: yes, 2015
We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mutation. A dynamical analysis is conducted and a theorem is presented which
A. Perelson   +10 more
core   +1 more source

THE ROLE OF TRANSFER FUNCTION IN THE STUDY OF STABILITY ANALYSIS OF FEEDBACK CONTROL SYSTEM WITH DELAY

open access: yesInternational Journal of Apllied Mathematics, 2019
Loop delays appear obviously in several control applications. Due to loop delays, more complications arrive in feedback control systems. Loop delays cannot be avoided in a system controlled via communication networks as it decreases the stability of the ...
D. Piriadarshani, S. Sujitha
semanticscholar   +1 more source

Global periodic solutions in a plankton-fish interaction model with toxication delay

open access: yesNonlinear Engineering, 2018
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
doaj   +1 more source

Within-host models of dengue virus transmission with immune response

open access: yesComputational and Mathematical Biophysics, 2023
Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics.
Muthu Poosan, Modak Bikash
doaj   +1 more source

Stable dynamics in forced systems with sufficiently high/low forcing frequency [PDF]

open access: yes, 2015
We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low.
Arnold V. I.   +19 more
core   +2 more sources

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