2017
DOI: 10.3934/dcdsb.2017186
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Abstract: In this paper, we are concerned with an age-structured HIV infection model incorporating latency and cell-to-cell transmission. The model is a hybrid system consisting of coupled ordinary differential equations and partial differential equations. First, we address the relative compactness and persistence of the solution semi-flow, and the existence of a global attractor. Then, applying the approach of Lyapunov functionals, we establish the global stability of the infection-free equilibrium and the infection eq… Show more

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Cited by 2 publications
(2 citation statements)
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“…Transmission problems arise in various applicative fields including engineering, physics and biology. Here, we refer the reader for instance to [1], [9] or [15] for applications in plate theory, to [18], [26] or [34] for applications in electromagnetism and to [10], [21] or [33] for other applications in population dynamics. Let us also mention that mathematical models involving biharmonic operators also arise in various fields such as elasticity for instance see [6], [16] or [30], electrostatic see [4], [13] or [22], plate theory [1], [9] or [15] or population dynamics [5], [19], [20] or [25].…”
Section: Introductionmentioning
confidence: 99%
“…Transmission problems arise in various applicative fields including engineering, physics and biology. Here, we refer the reader for instance to [1], [9] or [15] for applications in plate theory, to [18], [26] or [34] for applications in electromagnetism and to [10], [21] or [33] for other applications in population dynamics. Let us also mention that mathematical models involving biharmonic operators also arise in various fields such as elasticity for instance see [6], [16] or [30], electrostatic see [4], [13] or [22], plate theory [1], [9] or [15] or population dynamics [5], [19], [20] or [25].…”
Section: Introductionmentioning
confidence: 99%
“…Transmission problems arise in various applicative fields including engineering, physics and biology. Here, we refer the reader for instance to [1,9,15] for applications in plate theory, to [18,26,34] for applications in electromagnetism and to [10,21,33] for other applications in population dynamics. Let us also mention that mathematical models involving biharmonic operators also arise in various fields such as elasticity for instance see [6,16,30], electrostatic see [4,13,22], plate theory [1,9,15] or population dynamics [5,19,20,25].…”
mentioning
confidence: 99%