Results 11 to 20 of about 65,693 (292)
Harmless delays for uniform persistence
Journal of Mathematical Analysis and Applications, 1991 The authors consider a predator-prey system of Lotka-Volterra type with a finite number of discrete delays. They give sufficient conditions that the system either be uniformly persistent or not persistent. These conditions are the same as the corresponding conditions for the system with all delays set equal to zero and are independent of the magnitude ...
Wendi, Wang, Zhien, Ma
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Uniform persistence and repellors for maps [PDF]
Proceedings of the American Mathematical Society, 1989 We establish conditions for an isolated invariant set M M of a map to be a repellor. The conditions are first formulated in
Hofbauer, Josef, So, Joseph W.-H.
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The Semantic Foundations and a Landscape of Cache-Persistence Analyses [PDF]
Leibniz Transactions on Embedded Systems, 2018 We clarify the notion of cache persistence and contribute to the understanding of persistence analysis for caches with least-recently-used replacement.To this end, we provide the first formal definition of persistence as a property of a trace semantics ...
Reineke, Jan
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Uniform persistence for nonautonomous and random parabolic Kolmogorov systems
Journal of Differential Equations, 2004 The authors considered the following nonautonomous parabolic Kolmogorov system: \[ \frac{\partial u_{i}}{\partial t}= \Delta u_{i}+f_{i}(t,x,u)u_{i},\quad x\in D,\;t>0, \] \[ B_{i}u_{i}=0,\quad x\in \partial D,\;t>0,\;i=1,2,3,\dots,n, \] where \(u=(u_{1},u_{2},u_{3},\dots, u_{n}),D\) is a bounded domain in \(\mathbb R^{N}\) with sufficiently smooth ...
Mierczyński, Janusz +2 more
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Persistent Homology under Non-uniform Error [PDF]
, 2010 Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classes. Prior work has shown that the homology and robustness information can be read off the extended persistence diagram of the function.
Paul Bendich +3 more
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The Stability of Persistence Diagrams Under Non-Uniform Scaling
We investigate the stability of persistence diagrams \( D \) under non-uniform scaling transformations \( S \) in \( \mathbb{R}^n \). Given a finite metric space \( X \subset \mathbb{R}^n \) with Euclidean distance \( d_X \), and scaling factors \( s_1, s_2, \ldots, s_n > 0 \) applied to each coordinate, we derive explicit bounds on the bottleneck ...
Le, Vu-Anh, Dik, Mehmet
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Persistence probabilities for MA(1) sequences with uniform innovations
We study the persistence probabilities of a moving average process of order one with uniform innovations. We identify a number of regions, characterized by the location of the uniform distribution and the coupling parameter of the process, where the persistence probabilities have qualitatively different behaviour.
Aurzada, Frank, Raschel, Kilian
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Journal of Biological Dynamics, 2021 In this paper, we study a more general diffusive spatially dependent vaccination model for infectious disease. In our diffusive vaccination model, we consider both therapeutic impact and nonlinear incidence rate.
Md. Kamrujjaman +2 more
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A time-delayed predator-prey model with fear effect and stage structure
Xi'an Gongcheng Daxue xuebao, 2021 The stability of a predator-prey model with two-stage structure and fear effect was studied. This model incorporated maturation time delay of the prey, and a delay differential equation model was established.
Bairu LIU, Junli LIU, Pan LYU
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Periodic Behaviour of HIV Dynamics with Three Infection Routes
Mathematics, 2023 In this study, we consider a system of nonlinear differential equations modeling the human immunodeficiency virus type-1 (HIV-1) in a variable environment.
Miled El Hajji, Rahmah Mohammed Alnjrani
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