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Robust persistence for semidynamical systems

WebMorris Hirsch, Hal Smith, Xiao‐Qiang Zhao, Chain transitivity, attractivity, and strong repellors for semidynamical systems, J. Dynam. Differential Equations, 13 (2001), 107–131. ... Robust persistence for semidynamical systems, Proceedings of the Third World Congress of Nonlinear Analysts, Part 9 (Catania, 2000), Vol. 47, 2001, 6169–6179. WebApr 2, 2024 · In this paper, we propose an SIS-type reaction-diffusion equations, which contains both direct transmission and indirect transmission via free-living and spatially diffusive bacteria/virus in the contaminated environment, motivated by the dynamics of hospital infections.

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WebWe study the local and global stabilities of the disease-free equilibrium and the uniform persistence. In the case when the diffusion rate of infected individuals is constant, we carry out a bifurcation analysis of equilibria by considering the maximal treatment rate as the bifurcation parameter. WebIt is found that a disease may spread when the population migrates in two patches, even though it dies out in each isolated patch. It is also found that the disease admits multiple exchanges between persistence and extinction for some types of migrations of individuals. Keywords population dispersal infection period reproduction number persistence the boy and the rainbow https://starlinedubai.com

Bifurcation Analysis of a Diffusive SIR Model with Saturated …

WebLet M be a compact invariant set contained in a boundary hyperplane of the positive orthant of ℝ n for a discrete or continuous time dynamical system defined on the positive orthant. Using elementary arguments, we show that M is uniformly weakly repelling in directions normal to the boundary in which M resides provided all normal Lyapunov exponents are … WebIf permanence persists under perturbations of the matrices A i ( x), the equations are robustly permanent. We provide sufficient and necessary conditions for robust permanence in terms of Lyapunov exponents for invariant measures supported by the extinction set. Applications to ecological and epidemiological models are given. Keywords Web2.1 SARX System A SARX system is de ned by the following expression: y t= X n a j=1 a j(z t)y t j+ X n c k=1 c k(z t)u t k+ n t (1) 2 the boy and the sea manga

Dynamics and steady-state analysis of an unstirred

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Robust persistence for semidynamical systems

Robust persistence for semidynamical systems

WebPractical persistence Smith and Zhao, Robust persistence for semidynamical systems, Nonlinear Analysis, TMA, 47(2001), 6169{6179. Theorem Let pbe a generalized distance …

Robust persistence for semidynamical systems

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WebDive into the research topics of 'Robust persistence for semidynamical systems'. Together they form a unique fingerprint. WebWith engineering and manufacturing facilities located in Vienna, Illinois, Price, Utah and Woodridge, Illinois, we are a recognized industry leader for the supply of both new and …

WebAug 1, 2001 · The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under mild compactness … Webditions, uniform persistence is equivalent to weaker forms of persistence. With essentially the same assumptions, Butler and Waltman [4] were then able to obtain a necessary and …

WebJan 31, 2024 · This work is supported in part by the National Natural Science Foundation of China (Nos. 11901027, 11871093 and 11971055), the Scientific Research Project of … WebNov 30, 2011 · H. Smith and X. Q. Zhao, Robust persistence for semidynamical systems, Nonlinear Analysis Theory Methods Applications, 47 (2001), 6169-6179.doi: 10.1016/S0362-546X(01)00678-2. [26] H. Thieme, Convergence results and a poincaré-bendixson trichotomy for asymptotically autonomous differential equations , Journal of Mathematical Biology, …

WebDOI: 10.1016/j.chaos.2024.113417 Corpus ID: 257997140; Global structure of a food chain model with a single mutation in chemostat @article{Shi2024GlobalSO, title={Global structure of a food chain model with a single mutation in chemostat}, author={Yao Shi and Xiongxiong Bao}, journal={Chaos, Solitons \& Fractals}, year={2024} }

WebAug 1, 2006 · By appealing to the theory of global attractors on complete metric spaces, we obtain weaker sufficient conditions for the existence of interior global attractors for … the boy and the roseWebDec 31, 2014 · It is shown that the infection-free equilibrium of the model is globally asymptotically stable, if the reproduction number R 0 is less than one, and that the infected equilibrium of the model is locally asymptotically stable, if the reproduction number R 0 is larger than one. the boy and the sinner imdbWebAbstract. Conditions are established for the persistence of a discrete semidynamical system formulated in terms of the global attractor of the boundary semiflow and its … the boy and the snow gooseWebMar 2, 2024 · Moreover, we demonstrate that the basic reproduction number is a threshold parameter: the infection and virus will be cleared out if R0 ≤ 1, while if R0 > 1, the infection will persist and the model system admits at least one … the boy and the sheepWebApr 5, 2024 · This means we can take the duration of continuous existence – the persistence – of a system as a proxy for sustainability. Archaeology is in a unique … the boy and the sinnerWebApr 1, 2024 · Robust persistence for semidynamical systems was investigated. The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under ... the boy and the toyWebABSTRACT. A necessary and sufficient condition is given for a semidynamical system to be uniformly persistent. As a consequence some known results are improved. 1. Introduction. The concept of persistence plays an important role in math-ematical ecology. When a system of interacting species is "persistent" in a suitable the boy and the violin