Robust persistence for semidynamical systems

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August undefined, 2024

WebDive into the research topics of 'Robust persistence for semidynamical systems'. Together they form a unique fingerprint. Sort by Weight Alphabetically Mathematics Persistence Robustness Uniform Persistence Equilibrium Solution Global Asymptotic Stability Compactness Perturbation Engineering & Materials Science Asymptotic stability WebFor spatially heterogeneous environment, by the comparison principle of the diffusion system, the infection-free steady state is proved to be globally asymptotically stable if R 0 < 1, if R 0 > 1, the system will be persistent and admit at least one positive steady state.

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WebJul 31, 2024 · We establish the boundedness and uniform persistence of solutions to the system, and the global stability of the constant endemic equilibrium in the case of homogeneous environment. ... H. L. Smith and X.-Q. Zhao, Robust persistence for semidynamical systems, Nonlinear Anal., 47 (2001), 6169-6179. doi: 10.1016/S0362 … WebAbstract. Conditions are established for the persistence of a discrete semidynamical system formulated in terms of the global attractor of the boundary semiflow and its … cottonwood suites boise idaho

An analysis approach to permanence of a delay differential …

WebDive into the research topics of 'Robust persistence for semidynamical systems'. Together they form a unique fingerprint. WebMar 31, 2011 · When the environment factor in the model becomes a constant (homogeneous environment), we are able to find explicit formulas for the basic reproductive number and the principal eigenvalue. We also perform numerical simulation to explore the impact of the heterogeneous environment on the disease dynamics. 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 … cottonwood suites pooler ga phone number

Viral infection dynamics in a spatial heterogeneous environment with …

WebABSTRACT. 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 WebDec 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. cottonwood suites savannah hotel \u0026 conferencehttp://liberzon.csl.illinois.edu/teaching/switched-system-id-necmiye.pdf cottonwood sun lakes hoa

"WebHale, J. K., and Waltman, P. (1989). Persistence in infinite-dimensional systems. SIAM J. Math. Anal. 20, 388-395. Google Scholar Hirsch, M. W. (1999). Chain transitive sets for … " - Robust persistence for semidynamical systems

Robust persistence for semidynamical systems

Robust uniform persistence for structured models 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, … WebOct 29, 2024 · The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under mild compactness conditions. The robustness of uniform...

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WebJan 1, 2024 · More specific conditions are discussed for uniform persistence in n-species, particularly 3-species, random competitive systems. 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.

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} } 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 …

WebJul 31, 2024 · In a bounded domain, we show that the spectral radius r ^ of the linearized operator can be used to determine population persistence and that the sign of r ^ − 1 is the same as that of R 0 − 1, which confirms that R 0 defined in [ 10] can be used to determine population persistence. 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 …

WebX.-Q. Zhao, Dynamical Systems in Population Biology, CMS Books in Mathematics, Springer, New York, 2003. Hal L. Smith and Xiao-Qiang Zhao, Robust persistence for semidynamical systems, Proceedings of the Third World Congress of Nonlinear Analysts, Part 9 (Catania, 2000), 2001, pp. 6169–6179. MR 1971507, DOI 10.1016/S0362-546X(01)00678-2

WebAug 1, 2001 · Abstract. Robust persistence for semidynamical systems was investigated. The properties of chain transitive sets were used to study the robustness a … breckland boiler services gary webbWebJan 31, 2024 · For a general differential system, the existence of a positive equilibrium can be obtained with the help of the persistence theory, whereas we give the existence conditions of a positive equilibrium by using the implicit function theorem. ... Robust persistence for semidynamical systems, Nonlinear Anal., 47 (2001), 6169-6179. doi: … cottonwood sun lakes menuWebApr 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 ... breckland boiler servicesWebNov 30, 2024 · By using the theories of monotone dynamical systems and uniform persistence, we obtain a threshold dynamics determined by the basic reproduction number $ \mathcal {R}_0 $. Roughly speaking, the cholera will die out if $ \mathcal{R}_0<1 $ while it persists if $ \mathcal{R}_0>1 $. ... Robust persistence for semidynamical systems, … cottonwood suites pooler gaWebJan 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 … cottonwood suites boise riversideWebMar 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 … breckland brown bin collectionWebditions, 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 … breckland bridge limited