The role of delay in digestion of plankton by fish population: A fishery model.
Dhar, Joydip, Sharma, Anuj Kumar, Tegar, Sandeep (2008)
The Journal of Nonlinear Sciences and its Applications
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Dhar, Joydip, Sharma, Anuj Kumar, Tegar, Sandeep (2008)
The Journal of Nonlinear Sciences and its Applications
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François Dubois, Hervé V.J. Le Meur, Claude Reiss (2010)
MathematicS In Action
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This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define “antigenicity”, whether of the virus or of the adapted lymphocytes. We model the interaction of the immune system and the viral strains by two processes. On the one hand, the presence of a given viral quasi-species generates antigenically adapted lymphocytes. On the other hand, the lymphocytes kill only viruses...
Z. Nowak, A. Stachurski (2003)
Control and Cybernetics
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Konstantin E. Starkov, Corina Plata-Ante (2014)
Kybernetika
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In this paper we examine some features of the global dynamics of the four-dimensional system created by Lou, Ruggeri and Ma in 2007 which describes the behavior of the AIDS-related cancer dynamic model in vivo. We give upper and lower ultimate bounds for concentrations of cell populations and the free HIV-1 involved in this model. We show for this dynamics that there is a positively invariant polytope and we find a few surfaces containing omega-limit sets for positive half trajectories...
Felipe Cucker, Cristián Huepe (2008)
MathematicS In Action
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Two similar Laplacian-based models for swarms with informed agents are proposed and analyzed analytically and numerically. In these models, each individual adjusts its velocity to match that of its neighbors and some individuals are given a preferred heading direction towards which they accelerate if there is no local velocity consensus. The convergence to a collective group swarming state with constant velocity is analytically proven for a range of parameters and initial conditions....
Huabin Chen, Peng Hu (2013)
Kybernetika
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This paper is concerned with the problem of the exponential stability in mean square moment for neutral stochastic systems with mixed delays, which are composed of the retarded one and the neutral one, respectively. Based on an integral inequality, a delay-dependent stability criterion for such systems is obtained in terms of linear matrix inequality (LMI) to ensure a large upper bounds of the neutral delay and the retarded delay by dividing the neutral delay interval into multiple segments....