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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

neighborhood of the co-existing equilibrium point. Discrete-type gestational delay of predators is also incorporated on the system …. 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

Stationary oscillation for cellular neural networks with time delays and impulses

Zhang, Yinping - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 10, pp. 3174-3178

This paper studies stationary oscillation for a time-varying recurrent cellular neural network with time delays and impulses. In a recent paper, the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary...

Persistent link: https://www.econbiz.de/10010749033

Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity

Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao - In: Mathematics and Computers in Simulation (MATCOM) 89 (2013) C, pp. 13-22

In this paper, we investigate the dynamical behavior of a virus infection model with general incidence rate and humoral immunity. By using suitable Lyapunov functional and the LaSalle's invariance principle, we establish the global stability of the three equilibria. The uninfected equilibrium E0...

Persistent link: https://www.econbiz.de/10011050707

Analysis and numerical simulation of phytoplankton–nutrient systems with nutrient loss

Dimitrov, Dobromir T.; Kojouharov, Hristo V. - In: Mathematics and Computers in Simulation (MATCOM) 70 (2005) 1, pp. 33-43

The dynamics of a mathematical model of a layer of single phytoplankton species growing over a pool of nutrients, proposed by [A.H. Taylor, J.R.W. Harris, J. Aiken, The interaction of physical and biological process in a model of the vertical distribution of phytoplankton under stratification,...

Persistent link: https://www.econbiz.de/10010749658

Mathematical analysis of an HIV model with impulsive antiretroviral drug doses

Gao, Ting; Wang, Wendi; Liu, Xianning - In: Mathematics and Computers in Simulation (MATCOM) 82 (2011) 4, pp. 653-665

In this paper, we incorporate the periodic therapy from antiretroviral drugs for HIV into the standard within-host virus model, and study the stability and bifurcation of the system. It is shown that when the basic reproduction number of virus is less than one, there is an infection-free...

Persistent link: https://www.econbiz.de/10010751823

Global dynamics of an SEIS epidemiological model with time delay describing a latent period

Xu, Rui - In: Mathematics and Computers in Simulation (MATCOM) 85 (2012) C, pp. 90-102

In this paper, an SEIS epidemiological model with a saturation incidence rate and a time delay representing the latent …

Persistent link: https://www.econbiz.de/10010751863

A model for biological control in agriculture

Sen, M.; Banerjee, M.; Venturino, E. - In: Mathematics and Computers in Simulation (MATCOM) 87 (2013) C, pp. 30-44

exceeds a certain threshold. Namely, below the threshold the delay is shown not to be able to influence the stability of the … simulations reveal a route to chaotic behavior as function of the size of the delay. Some operative conclusions for agroecosystem …

Persistent link: https://www.econbiz.de/10010751869

A viral infection model with periodic immune response and nonlinear CTL response

Ji, Yu; Min, Lequan; Zheng, Yu; Su, Yongmei - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 12, pp. 2309-2316

This paper investigates a viral infection model with periodic immune response and nonlinear cytotoxic T lymphocyte (CTL) response. Using the periodic rhythms of human immune system, the model can avoid the unreasonable equilibrium in the basic viral model with nonlinear CTL response introduced...

Persistent link: https://www.econbiz.de/10010870165

Nonlinear predictive controller for a permanent magnet synchronous motor drive

Errouissi, Rachid; Ouhrouche, Mohand - In: Mathematics and Computers in Simulation (MATCOM) 81 (2010) 2, pp. 394-406

A nonlinear predictive controller (NPC) for a permanent magnet synchronous motor (PMSM) is proposed in this paper. Its objective is high performance tracking of the rotor speed trajectory while maintaining the d-axis component of the armature current at zero. The load torque and the mismatched...

Persistent link: https://www.econbiz.de/10010870607

Exponential Runge–Kutta methods for delay differential equations

Xu, Y.; Zhao, J.J.; Sui, Z.N. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 12, pp. 2350-2361

This paper deals with convergence and stability of exponential Runge–Kutta methods of collocation type for delay …

Persistent link: https://www.econbiz.de/10010870259