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Stability analysis of equilibria in a delay differentialequations model of CML including asymmetric division and treatment

Halanay, A.; Cândea, D.; Rădulescu, I.R. - In: Mathematics and Computers in Simulation (MATCOM) 110 (2015) C, pp. 69-82

Chronic Myelogenous Leukemia under treatment is considered. Stability of equilibria is investigated and emergence of periodic …

Persistent link: https://www.econbiz.de/10011264181

Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

Garrappa, Roberto - In: Mathematics and Computers in Simulation (MATCOM) 110 (2015) C, pp. 96-112

The paper describes different approaches to generalize the trapezoidal method to fractional differential equations. We analyze the main theoretical properties and we discuss computational aspects to implement efficient algorithms. Numerical experiments are provided to illustrate potential and...

Persistent link: https://www.econbiz.de/10011264185

Stability and bifurcation analysis for a model of a nonlinear coupled pitch–roll ship

Zhou, Liangqiang; Chen, Fangqi - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 2, pp. 149-166

Using a combination of analytical and numerical methods, the paper studies the stability and bifurcations for a model … eigenvalues, respectively. For each case, the stability regions for the initial equilibrium solution and the critical bifurcation … stability conditions are also investigated. Some new dynamical behaviors are presented for this system. …

Persistent link: https://www.econbiz.de/10010749623

A discrete model of competition

Liu, Pingzhou; Cui, Xiaoying - In: Mathematics and Computers in Simulation (MATCOM) 49 (1999) 1, pp. 1-12

Sufficient conditions are derived for the global asymptotic stability of the positive equilibrium of the coupled system …. The conditions obtained are the same as in the continuous case which are sufficient for the globally asymptotic stability …

Persistent link: https://www.econbiz.de/10010749678

Global stability of a two-stage epidemic model with generalized non-linear incidence

Moghadas, S.M.; Gumel, A.B. - In: Mathematics and Computers in Simulation (MATCOM) 60 (2002) 1, pp. 107-118

state. A global stability of the model reveals that the disease-free equilibrium is globally asymptotically stable (and …

Persistent link: https://www.econbiz.de/10010749762

New stability analysis of T–S fuzzy system with robust approach

Luoh, Leh - In: Mathematics and Computers in Simulation (MATCOM) 59 (2002) 4, pp. 335-340

Based on the robustness criterion, this paper provides a new way to deal with the stability of T–S fuzzy system. A … sufficient criterion is proposed to guarantee quadratic stability of the fuzzy model globally. The existence well-known problem …

Persistent link: https://www.econbiz.de/10010750031

An unconditionally convergent discretization of the SEIR model

Jansen, H.; Twizell, E.H. - In: Mathematics and Computers in Simulation (MATCOM) 58 (2002) 2, pp. 147-158

model and it is shown that they have the same stability properties. It is shown further that the solution sequence is …

Persistent link: https://www.econbiz.de/10010750170

On the stability analysis of nonlinear systems using polynomial Lyapunov functions

Bouzaouache, Hajer; Braiek, Naceur Benhadj - In: Mathematics and Computers in Simulation (MATCOM) 76 (2008) 5, pp. 316-329

In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a … quadratic Lyapunov function shows that it doesn’t exist positive definite quadratic Lyapunov function that proves stability of … for global asymptotic stability of analytical nonlinear systems are proposed to allow computational implementation. …

Persistent link: https://www.econbiz.de/10010869927

The domain of attraction for the endemic equilibrium of an SIRS epidemic model

Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 9, pp. 1697-1706

In this paper, a new method is adopted to construct a Lyapunov function for the endemic equilibrium of the J. Mena-Lorca and H.W. Hothcote’s SIRS epidemic model with bilinear incidence and constant recruitment. On the basis of the Lyapunov function, the domain of the attraction of the endemic...

Persistent link: https://www.econbiz.de/10010869930

On stability of a class of neutral type functional differential equations

Arino, Ovide; Nosov, Valery R - In: Mathematics and Computers in Simulation (MATCOM) 45 (1998) 3, pp. 299-307

This paper deals with the study of stability and estimation of stability domain for a class of nonlinear integro …-difference equations, which coincide with special class of neutral type functional differential equations. The new approach for stability …

Persistent link: https://www.econbiz.de/10010869983