93 publication(s) trouvée(s)
Article scientifique
Effect of cellular reservoirs and delays on the global dynamics of HIV
We investigate general HIV infection models with three types of infected cells: latently infected cells, long-lived productively infected cells, and …
Article scientifique
Almost periodic and asymptotically almost periodic functions: part I
In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach …
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New mathematical model of vertical transmission and cure of vector-borne diseases and its numerical simulation
In this research article, a new mathematical model for the transmission dynamics of vector-borne diseases with vertical transmission and cure …
Article scientifique
Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. …
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Qualitative analysis and sensitivity based optimal control of pine wilt disease
We design a deterministic model of pine wilt affliction to analyze the transmission dynamics. We obtain the reproduction number in …
Article scientifique
Coexistence of identical synchronization, antiphase synchronization and inverse full state hybrid projective synchronization in different dimensional fractional-order chaotic systems
The topic related to the coexistence of different synchronization types between fractional-order chaotic systems is almost unexplored in the literature. …
Article scientifique
A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis
Antiretroviral treatment (ART) and oral pre-exposure prophylaxis (PrEP) have recently been used efficiently in management of HIV infection. Pre-exposure prophylaxis …
Article scientifique
A fractional-order form of a system with stable equilibria and its synchronization
There has been an increasing interest in studying fractional-order chaotic systems and their synchronization. In this paper, the fractional-order form …
Article scientifique
Discrete mathematical modeling and optimal control of the marital status: the monogamous marriage case
In this paper, we consider a discrete model of the marital status of the family dynamics. It is assumed that …
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Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. …
Article scientifique
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations
In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the …
Article scientifique
Oscillation criteria for third-order delay differential equations
The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order …
Article scientifique
Numerical analysis for the Klein-Gordon equation with mass parameter
A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three …
Article scientifique
Delay-dependent stabilization of a class of time-delay nonlinear systems: LMI approach
This paper deals with the state and output feedback stabilization problems for a family of nonlinear time-delay systems satisfying some …
Article scientifique
FPGA implementation of adaptive sliding mode control and genetically optimized PID control for fractional-order induction motor system with uncertain load
In this paper, we investigate the control of 4-D nonautonomous fractional-order uncertain model of a PI speed-regulated current-driven induction motor …
Article scientifique
Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
The principal aim of this paper is to analyze and implement two numerical algorithms for solving two kinds of space …
Article scientifique
Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization
In this paper, a fractional-order model of palm trees, the lesser date moth and the predator is presented. Existence conditions …
Article scientifique
Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions
In this paper, we propose efficient and reliable numerical methods to solve two notable non-integer-order partial differential equations. The proposed …
Article scientifique
On the asymptotic behavior of fourth-order functional differential equations
The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations. Our results …
Article scientifique
Distributions of zeros of solutions to first order delay dynamic equations
This paper is concerned with the distributions of zeros of solutions to first order delay dynamic equations on time scales. …