Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidenceSEIRmulti-strainbilinear incidencenon-monotone incidenceIn this paper, we study a multi-strain SEIR epidemic model with both bilinear and non-monotone incidence functions. Under biologically ...
比如,利用SDP,我们可以搜索对于不确定的线性系统的“common Lyapunov function”。 例子9.2 Common Lyapunov analysis for linear systems假设系统方程为:\dot{\mathbf{x}}=\mathbf{A}\mathbf{x},其中 \mathbf{A} 是未知的,但其不确定性是有界的我们可以把矩阵\mathbf{A}写作一系列一直矩阵的凸组合: \mathbf{A...
Global Stability of Predator-Prey Interactions A Lyapunov function is given that extends functions used by Volterra, Goh, and Hsu to a wide class of predator-prey models, including Leslie type models, a... GW Harrison - 《Journal of Mathematical Biology》 被引量: 219发表: 1979年 Lyapunov fun...
morecomplicatedfunctionthatdecreasesmonotonically. Wedemonstratethestrengthofourmethodologyoverstan- dardLyapunovtheorythroughexamplesfromthreedifferent classesofdynamicalsystems.First,weconsiderpolynomial dynamicswhereweutilizetechniquesfromsum-of-squares programming.Second,analysisofpiecewiseaffinesystems ...
global stabilitypredator-prey modelspredation modelspositive equilibrium states/ A0547 Nonlinear dynamical systems and bifurcationsWe construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov ...
infection-age structurebasic reproduction numberLyapunov functionuniform persistenceglobal asymptotic stabilityIn this paper, we study the global dynamics of an ... J Wang,Z Ran,K Toshikazu - 《Ima Journal of Applied Mathematics》 被引量: 14发表: 2016年 Global stability for epidemic model with cons...
The global stability of the endemic equilibrium is shown for an endemic model with infinite-dimensional population structure using a Volterra like Lyapunov function and the Krein–Rutman theorem.doi:10.1016/j.jde.2011.01.007Horst R. ThiemeElsevier Inc.Journal of Differential Equations...
在这里我们选取正定对称矩阵P,使得我们有Lyapunov Function Candidate为 V=xTPx 。为了判断系统是否渐近稳定,我们依据Lyapunov函数与稳定性判别文中的 局部稳定李雅普诺夫定理(Lyapunov Theorem for Local Stability):如果存在至少一个函数V(x)在x取值为半径为Ro的球内,满足1. V(x) 是局部正定的2. V(x) 具有局...
mathematical epidemiological models global stability analysis/ A0230 Function theory, analysis B0290P Differential equations (numerical analysis) B0290R Integral equations (numerical analysis) C4170 Differential equations (numerical analysis) C4180 Integral equations (numerical analysis) E0210L Numerical ...
Lyapunov functionConvergenceTracking(movable targetDirect controlTracking errorStabilitéThe stability properties of discrete time model reference adaptive control systems are examined. Lyapunov functions and strong convergence results are given for some classes of adaptive systems. We show l2-stability, ...