Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Guichen Lu"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 3, Pp 2800-2818 (2022)
A Susceptible Infective Recovered (SIR) model is usually unable to mimic the actual epidemiological system exactly. The reasons for this inaccuracy include observation errors and model discrepancies due to assumptions and simplifications made by the
Externí odkaz:
https://doaj.org/article/3d65710df9c74fb098e81baba2bcae4b
Autor:
Guichen Lu, Zhengyi Lu
Publikováno v:
Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-14 (2017)
Abstract The permanence for three-species cooperative difference systems of Lotka-Volterra is considered. By constructing some suitable regions, we prove that a cooperative system cannot be permanent. Furthermore, we find the orbits starting from our
Externí odkaz:
https://doaj.org/article/9c2136a98b03433eab7aa3610ed9fba4
Autor:
Guichen Lu
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2016 (2016)
We present a theoretical analysis of the attractor bifurcation for gene propagation model governed by reaction-diffusion equations. We investigate the dynamical transition problems of the model under the homogeneous boundary conditions. By using the
Externí odkaz:
https://doaj.org/article/01afe6f360fc4ce6b203f4bb47d662a8
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We investigate the spatiotemporal dynamics of a bacterial colony model. Based on the stability analysis, we derive the conditions for Hopf and Turing bifurcations. Furthermore, we present novel numerical evidence of time evolution of patterns control
Externí odkaz:
https://doaj.org/article/52e0dda544d84a0f9f4f9d23c68c9a37
Publikováno v:
Journal of Computational Methods in Sciences and Engineering. 20:121-132
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::393916c5a4042699ca6659c7e077f749
https://doi.org/10.3233/jcm-193694
https://doi.org/10.3233/jcm-193694
Autor:
Zhengyi Lu, Guichen Lu
Publikováno v:
Nonlinear Analysis: Real World Applications. 36:20-43
In this paper, we present a more general criterion for the global asymptotic stability of equilibria for nonlinear autonomous differential equations based on the geometric criterion developed by Li and Muldowney. By applying this criterion, we obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3edaf046185b3dbe35f087d932d8a10a
https://doi.org/10.1016/j.nonrwa.2016.12.005
https://doi.org/10.1016/j.nonrwa.2016.12.005
Autor:
Guichen Lu, Zhengyi Lu
Publikováno v:
Journal of Mathematical Analysis and Applications. 445:13-22
This paper deals with the three dimensional competitive models with Gompertz growth in population dynamics. By using the geometric criterion and time average property to Gompertz models, a new criterion on the global asymptotical stability of the mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fc49e2edead3bc8f5f29389d0f7d7ee
https://doi.org/10.1016/j.jmaa.2016.07.055
https://doi.org/10.1016/j.jmaa.2016.07.055
Publikováno v:
Chaos, Solitons & Fractals. 73:156-165
This paper addresses the mean square exponential stabilization problem of stochastic bidirectional associative memory (BAM) neural networks with Markovian jumping parameters and time-varying delays. By establishing a proper Lyapunov–Krasovskii func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7d51a7ca17dc622f54477402987141b
https://doi.org/10.1016/j.chaos.2015.01.014
https://doi.org/10.1016/j.chaos.2015.01.014
Autor:
Zhengyi Lu, Guichen Lu
Publikováno v:
Mathematical biosciences. 296
In this paper, SEIRS epidemiological model with disease caused death and varying total population size is discussed. Based on the geometric approach developed by Li and Muldowney, a new criterion to determine the global asymptotic stability for nonli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79dde597c44d00f8b657cba408385b6a
https://pubmed.ncbi.nlm.nih.gov/29197508
https://pubmed.ncbi.nlm.nih.gov/29197508
Autor:
Guichen Lu, Zhengyi Lu
Publikováno v:
Journal of Mathematical Analysis and Applications. 389:591-596
In this paper, by applying the geometric criterion and time average property to Lotka–Volterra systems, some results for the global asymptotic stability of the systems are obtained. Furthermore, we consider Li–Wang Conjecture for a three-dimensio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c10a2be23f6888ae88301299a4979e1
https://doi.org/10.1016/j.jmaa.2011.11.075
https://doi.org/10.1016/j.jmaa.2011.11.075