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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

Dynamic monopoly with multiple continuously distributed time delays

Matsumoto, Akio; Szidarovszky, Ferenc - In: Mathematics and Computers in Simulation (MATCOM) 108 (2015) C, pp. 99-118

case, and a complete stability analysis is conducted both analytically and numerically in two special cases. In the first … the other is fixed, it is demonstrated that the stability of the monopoly equilibrium can change finite number of times …

Persistent link: https://www.econbiz.de/10011117186

Global qualitative analysis of a predator–prey system with Allee effect on the prey species

Zu, Jian - In: Mathematics and Computers in Simulation (MATCOM) 94 (2013) C, pp. 33-54

In this paper, the Allee effect is incorporated into a predator–prey model with linear functional response. Compared with the predator–prey model without the Allee effect, it is found that the Allee effect of the prey species increases the extinction risk of both the prey and predator. If...

Persistent link: https://www.econbiz.de/10010870323

A Hopf bifurcation theorem for singular differential–algebraic equations

Beardmore, R.; Webster, K. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1383-1395

We prove a Hopf bifurcation result for singular differential–algebraic equations (DAE) under the assumption that a trivial locus of equilibria is situated on the singularity as the bifurcation occurs. The structure that we need to obtain this result is that the linearisation of the DAE has a...

Persistent link: https://www.econbiz.de/10010870532

Dynamic complexities in a discrete predator–prey system with lower critical point for the prey

Zhang, Limin; Zhang, Chaofeng; Zhao, Min - In: Mathematics and Computers in Simulation (MATCOM) 105 (2014) C, pp. 119-131

plants, many fishes, epidemiology, and so on. The existence and stability of nonnegative fixed points are explored. The …

Persistent link: https://www.econbiz.de/10010906723

Continuous-time predator–prey systems with Allee effects in the prey

Aulisa, Eugenio; Jang, Sophia R.-J. - In: Mathematics and Computers in Simulation (MATCOM) 105 (2014) C, pp. 1-16

its stability. We also examine the notion of Turing instability of the homogeneous interior steady state when both …

Persistent link: https://www.econbiz.de/10010906726

Global stability and bifurcation of time delayed prey–predator system incorporating prey refuge

Jana, Soovoojeet; Chakraborty, Milon; Chakraborty, Kunal; … - In: Mathematics and Computers in Simulation (MATCOM) 85 (2012) C, pp. 57-77

. The dynamics of the delay induced prey–predator system is analyzed. Delay preserving stability and direction of the system … is studied. Global stability of the delay preserving system is shown. Finally, some numerical simulations are given to …

Persistent link: https://www.econbiz.de/10010751774

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

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